Publications
2024
We investigate the persistent orientation of asymmetric-top molecules induced by time-delayed THz pulses that are either collinearly or cross polarized. Our theoretical and numerical results demonstrate that the orthogonal configuration outperforms the collinear one, and a significant degree of persistent orientation - approximately 10% at 5 K and nearly 3% at room temperature - may be achieved through parameter optimization. The dependence of the persistent orientation factor on temperature and field parameters is studied in detail. The proposed application of two orthogonally polarized THz pulses is both practical and efficient. Its applicability under standard laboratory conditions lays a solid foundation for future experimental realization of THz-induced persistent molecular orientation.
2023
We theoretically consider the phenomenon of field-free long-lasting orientation of symmetric-top molecules ionized by two-color laser pulses. The anisotropic ionization produces a significant long-lasting orientation of the surviving neutral molecules. The degree of orientation increases with both the pulse intensity and counterintuitively with the rotational temperature. The orientation may be enhanced even further by using multiple-delayed two-color pulses. The long-lasting orientation may be probed by even harmonic generation or by Coulomb-explosion-based methods. The effect may enable the study of relaxation processes in dense molecular gases and may be useful for molecular guiding and trapping by inhomogeneous fields.
2022
We consider the orientation of linear and symmetric-top molecules induced by laser and delayed terahertz (THz) pulses at high rotational temperatures (up to room temperature). We introduce an echo-assisted approach in which the achieved transient molecular orientation is an order of magnitude higher than the orientation produced by a single THz pulse. The laser pulse first dissects the wide molecular phase-space distribution into multiple narrow strips (filaments), each being cold and evolving separately. A subsequent THz pulse causes a substantial transient orientation of the individual filaments, which leads to an enhanced orientation of the whole molecular ensemble at later times via the echo mechanism. This enhanced degree of orientation is important in attosecond science, chemical reaction control, ultrafast molecular imaging, and other domains of physics.
We present a comprehensive study of enantioselective orientation of chiral molecules excited by a pair of delayed cross-polarized femtosecond laser pulses. We show that by optimizing the pulses parameters, a significant degree (∼10%) of enantioselective orientation can be achieved at 0 and 5 K rotational temperatures. This study suggests a set of reasonable experimental conditions for inducing and measuring strong enantioselective orientation. The strong enantioselective orientation and the wide availability of the femtosecond laser systems required for the proposed experiments may open new avenues for discriminating and separating molecular enantiomers.
Rotational dynamics of D2 molecules inside helium nanodroplets is induced by a moderately intense femtosecond pump pulse and measured as a function of time by recording the yield of HeD+ ions, created through strong-field dissociative ionization with a delayed femtosecond probe pulse. The yield oscillates with a period of 185 fs, reflecting field-free rotational wave packet dynamics, and the oscillation persists for more than 500 periods. Within the experimental uncertainty, the rotational constant BHe of the in-droplet D2 molecule, determined by Fourier analysis, is the same as Bgas for an isolated D2 molecule. Our observations show that the D2 molecules inside helium nanodroplets essentially rotate as free D2 molecules.
We present a comprehensive study of enantioselective orientation of chiral molecules excited by a pair of delayed cross-polarized femtosecond laser pulses. We show that by optimizing the pulses' parameters, a significant (~ 10%) degree of enantioselective orientation can be achieved at zero and at five kelvin rotational temperatures. This study suggests a set of reasonable experimental conditions for inducing and measuring strong enantioselective orientation. The strong enantioselective orientation and the wide availability of the femtosecond laser systems required for the proposed experiments may open new avenues for discriminating and separating molecular enantiomers.
Rotational dynamics of D2 molecules inside helium nanodroplets is induced by a moderately intense femtosecond (fs) pump pulse and measured as a function of time by recording the yield of HeD+ ions, created through strong-field dissociative ionization with a delayed fs probe pulse. The yield oscillates with a period of 185 fs, reflecting field-free rotational wave packet dynamics, and the oscillation persists for more than 500 periods. Within the experimental uncertainty, the rotational constant BHe of the in-droplet D2 molecule, determined by Fourier analysis, is the same as Bgas for an isolated D2 molecule. Our observations show that the D2 molecules inside helium nanodroplets essentially rotate as free D2 molecules.
We theoretically demonstrate the long-lasting orientation of symmetric- and asymmetric-top molecules induced by a two-color laser pulse.
2021
We study the excitation of asymmetric-top (including chiral) molecules by two-color femtosecond laser pulses. In the cases of non-chiral asymmetric-top molecules excited by an orthogonally polarized two-color pulse, we demonstrate, classically and quantum mechanically, three-dimensional orientation. For chiral molecules, we show that the orientation induced by a cross-polarized two-color pulse is enantioselective along the laser propagation direction, namely, the two enantiomers are oriented in opposite directions. The classical and quantum simulations are in excellent agreement on the short time scale, whereas on the longer time scale, the enantioselective orientation exhibits quantum beats. These observations are qualitatively explained by analyzing the interaction potential between the two-color pulse and molecular (hyper-)polarizability. The prospects for using the enantioselective orientation for enantiomers' separation is discussed.
Impulsive orientation of symmetric-top molecules excited by two-color femtosecond pulses is considered. In addition to the well-known transient orientation appearing immediately after the pulse and then reemerging periodically due to quantum revivals, we report the phenomenon of field-free long-lasting orientation. Long-lasting means that the time averaged orientation remains non-zero until destroyed by other physical effects, e.g., intermolecular collisions. The effect is caused by the combined action of the field-polarizability and field-hyperpolarizability interactions. The dependence of degree of long-lasting orientation on temperature and pulse parameters is considered. The effect can be measured by means of second (or higher-order) harmonic generation, and may be used to control the deflection of molecules traveling through inhomogeneous electrostatic fields.
Localized surface plasmon resonances of individual sub-wavelength cavities milled in metallic films can couple to each other to form a collective behavior. This coupling leads to a delocalization of the plasmon field at the film surface and drastically alters both the linear and nonlinear optical properties of the sample. In periodic arrays of nanocavities, the coupling results in the formation of propagating surface plasmon polaritons (SPP), eigenmodes extending across the array. When artificially introducing dislocations, defects and imperfections, multiple scattering of these SPP modes can lead to hot-spot formation, intense and spatially confined fluctuations of the local plasmonic field within the array. Here, we study the underlying coupling effects by probing plasmonic modes in well-defined individual triangular dimer cavities and in arrays of triangular cavities with and without artificial defects. Nonlinear confocal spectro-microscopy is employed to map the second harmonic (SH) radiation from these systems. Pronounced spatial localization of the SPP field and significant enhancements of the SH intensity in certain, randomly distributed hot spots by more than an order of magnitude are observed from the triangular arrays as compared to a bare silver film by introducing a finite degree of disorder into the array structure. Hot-spot formation and the resulting enhancement of the nonlinear efficiency are correlated with an increase in the lifetime of the localized SPP modes. By using interferometric SH autocorrelation measurements, we reveal lifetimes of hot-spot resonances in disordered arrays that are much longer than the few-femtosecond lifetimes of the localized surface plasmon resonances of individual nanocavity dimers. This suggests that hot spot lifetime engineering provides a path for manipulating the linear and nonlinear optical properties of nanosystems by jointly exploiting coherent couplings and tailored disorder.
Chirality and chiral molecules are key elements in modern chemical and biochemical industries. Individual addressing, and the eventual separation of chiral enantiomers has been and still is an important elusive task in molecular physics and chemistry, and a variety of methods has been introduced over the years to achieve this goal. Here, we theoretically demonstrate that a pair of cross-polarized THz pulses interacting with chiral molecules through their permanent dipole moments induces an enantioselective orientation of these molecules. This orientation persists for a long time, exceeding the duration of the THz pulses by several orders of magnitude, and its dependency on temperature and pulses' parameters is investigated. The persistent orientation may enhance the deflection of the molecules in inhomogeneous electromagnetic fields, potentially leading to viable separation techniques.
2020
We report the experimental observation of molecular unidirectional rotation (UDR) echoes and analyze their origin and behavior both classically and quantum mechanically. The molecules are excited by two time-delayed polarization-twisted ultrashort laser pulses and the echoes are measured by exploding the molecules and reconstructing their spatial orientation from the detected recoil ions momenta. Unlike alignment echoes which are induced by linearly polarized pulses, here the axial symmetry is broken by the twisted polarization, giving rise to molecular unidirectional rotation. We find that the rotation sense of the echo is governed by the twisting sense of the second pulse even when its intensity is much weaker than the intensity of the first pulse. In our theoretical study, we rely on classical phase-space analysis and on three-dimensional quantum simulations of the laser-driven molecular dynamics. Both approaches nicely reproduce the experimental results. Echoes in general and the unique UDR echoes in particular provide powerful tools for studies of relaxation processes in dense molecular gases.
We present a novel, previously unreported phenomenon appearing in a thermal gas of nonlinear polar molecules excited by a single THz pulse. We find that the induced orientation lasts long after the excitation pulse is over. In the case of symmetric-top molecules, the time-averaged orientation remains indefinitely constant, whereas in the case of asymmetric-top molecules the orientation persists for a long time after the end of the pulse. We discuss the underlying mechanism, study its nonmonotonous temperature and amplitude dependencies, and show that there exist optimal parameters for maximal residual orientation. The persistent orientation implies a long-lasting macroscopic dipole moment, which may be probed by even harmonic generation and may enable deflection by inhomogeneous electrostatic fields.
Molecular alignment and orientation by laser fields has attracted significant attention in recent years, mostly due to new capabilities to manipulate the molecular spatial arrangement. Molecules can now be efficiently prepared for ionization, structural imaging, orbital tomography, and more, enabling, for example, shooting of dynamic molecular movies. Furthermore, molecular alignment and orientation processes give rise to fundamental quantum and classical phenomena like quantum revivals, Anderson localization, and rotational echoes, just to mention a few. We review recent progress on the visualization, coherent control, and applications of the rich dynamics of molecular rotational wave packets driven by laser pulses of various intensities, durations, and polarizations. In particular, we focus on the molecular unidirectional rotation and its visualization, the orientation of chiral molecules, and the three-dimensional orientation of asymmetric-top molecules. Rotational echoes are discussed as an example of nontrivial dynamics and detection of prepared molecular states.
Echoes occur in many physical systems, typically in inhomogeneously broadened ensembles of nonlinear objects. They are often used to eliminate the effects of dephasing caused by interactions with the environment as well as to enable the observation of proper, inherent object properties. Here, we report the experimental observation of quantum wave-packet echoes in a single, isolated molecule. The entire dephasing-rephasing cycle occurs without any inhomogeneous spread of molecular properties, or any interaction with the environment, and offers a way to probe the internal coherent dynamics of single molecules. In our experiments, we impulsively excite a vibrational wave packet in an anharmonic molecular potential and observe its oscillations and eventual dispersion with time. A second, delayed pulse gives rise to an echo-a partial recovery of the initial coherent oscillations. The vibrational dynamics of single molecules is visualized by a time-delayed probe pulse dissociating them, one at a time. Two mechanisms for the echo formation are discussed: a.c. Stark-induced molecular potential shaking and creation of a depletion-induced 'hole' in the nuclear spatial distribution. The single-molecule wave-packet echoes may lead to the development of new tools for probing ultrafast intramolecular processes in various molecules.Following an impulsive laser excitation of a single molecule, a dispersed vibrational wave-packet is partially rephased by a second pulse, and a wave-packet echo is observed. This wave-packet echo probes ultrafast intramolecular processes in the isolated molecule.
2019
We show that recently discovered rotational echoes of molecules provide an efficient tool for studying collisional molecular dynamics in high-pressure gases. Our study demonstrates that rotational echoes enable the observation of extremely fast collisional dissipation, at timescales of the order of a few picoseconds, and possibly shorter. The decay of the rotational alignment echoes in CO2 gas and CO2-He mixture up to 50 bar was studied experimentally, delivering collision rates that are in good agreement with the theoretical expectations. The suggested measurement protocol may be used in other high-density media, and potentially in liquids.
Controlling the nonlinear optical response of nano scale metamaterials opens new exciting applications such as frequency conversion or flat metal optical elements. To utilize the already well-developed fabrication methods, a systematic design methodology for obtaining high nonlinearities is required. In this paper we consider an optimization-based approach, combining a multiparameter genetic algorithm with three-dimensional finite-difference time domain (FDTD) simulations. We investigate two choices of the optimization function: one which looks for plasmonic resonance enhancements at the frequencies of the process using linear FDTD, and another one, based on nonlinear FDTD, which directly computes the predicted nonlinear response. We optimize a four-wave-mixing process with specific predefined input frequencies in an array of rectangular nanocavities milled in a thin free-standing gold film. Both approaches yield a significant enhancement of the nonlinear signal. Although the direct calculation gives rise to the maximum possible signal, the linear optimization provides the expected triply resonant configuration with almost the same enhancement, while being much easier to implement in practice.
2018
Orientation and alignment of molecules by ultrashort laser pulses is crucial for a variety of applications and has long been of interest in physics and chemistry, with the special emphasis on stereodynamics in chemical reactions and molecular orbitals imaging. As compared to the laser-induced molecular alignment, which has been extensively studied and demonstrated, achieving molecular orientation is a much more challenging task, especially in the case of asymmetric-top molecules. Here, we report the experimental demonstration of all-optical field-free three-dimensional orientation of asymmetric-top molecules by means of phase-locked cross-polarized two-color laser pulse. This approach is based on nonlinear optical mixing process caused by the off-diagonal elements of the molecular hyperpolarizability tensor. It is demonstrated on SO2 molecules and is applicable to a variety of complex nonlinear molecules.
We report measurements of the optical transmission through a plasmonic flat surface interferometer. The transmission spectrum shows Fabry-Perot-like modes, where for each mode order, the maximal transmission occurs at a gap that grows linearly with wavelength, giving the appearance of diagonal dependence on gap and wavelength. The experimental results are supported by numerical solutions of the wave equations and by a simplified theoretical model that is based on the coupling between localized and propagating surface plasmon. This work explains not only the appearance of the modes but also their sharp dependence on the gap, taking into consideration the refractive indices of the surrounding media. The transmission spectra provide information about the phase difference between the light impinging on the two cavities, enabling interferometric measurement of the light phase by transmission through the coupled plasmonic cavities. The 1° phase-difference resolution is obtained without any propagation distance, thus making this interferometer suitable for on-chip operation.
We demonstrate that the enhancement of nonlinear optical processes in plasmonic nanomaterials cannot be fully predicted by their linear properties.
2017
Directional emission of electromagnetic radiation can be achieved using a properly shaped single antenna or a phased array of individual antennas. Control of the individual phases within an array enables scanning or other manipulations of the emission, and it is this property of phased arrays that makes them attractive in modern systems. Likewise, the propagation of surface plasmons at the interface between metal films and dielectric materials can be determined by shaping the individual surface nanostructures or via the phase control of individual elements in an array of such structures. Here, we demonstrate control of the propagation of surface plasmons within a linear array of nanostructures. The generic situation of plasmonic surface propagation that is different on both sides of a metal film provides a unique opportunity for such control: plasmons propagating on the slower side feed into the side with the faster propagation, creating a phased array of interfering antennas and thus controlling the directionality of the wake fields. We further show that by shaping the individual nanoantennas, we can generate an asymmetric propagation geometry.
We report experimental observations of rotated echoes of alignment induced by a pair of time-delayed and polarization-skewed femtosecond laser pulses interacting with an ensemble of molecular rotors. Rotated fractional echoes, rotated high order echoes and rotated imaginary echoes are directly visualized by using the technique of coincident Coulomb explosion imaging. We show that the echo phenomenon not only exhibits temporal recurrences but also spatial rotations determined by the polarization of the time-delayed second pulse. The dynamics of echo formation is well described by the laser-induced filamentation in rotational phase space. The quantum-mechanical simulation shows good agreements with the experimental results.
We demonstrate composite, multiplexed 3D metamaterials for functional light manipulation. Applications include multi-wavelength achromatic metalenses in the visible spectral range, integrated elements for STED microscopy, and nonlinear holography. Prospects for novel applications are discussed.
Nanostructured metasurfaces offer unique capabilities for subwavelength control of optical waves. Based on this potential, a large number of metasurfaces have been proposed recently as alternatives to standard optical elements. In most cases, however, these elements suffer from large chromatic aberrations, thus limiting their usefulness for multiwavelength or broadband applications. Here, in order to alleviate the chromatic aberrations of individual diffractive elements, we introduce dense vertical stacking of independent metasurfaces, where each layer is made from a different material, and is optimally designed for a different spectral band. Using this approach, we demonstrate a triply red, green and blue achromatic metalens in the visible range. We further demonstrate functional beam shaping by a self-aligned integrated element for stimulated emission depletion microscopy and a lens that provides anomalous dispersive focusing. These demonstrations lead the way to the realization of ultra-thin superachromatic optical elements showing multiple functionalities- all in a single nanostructured ultra-thin element.
We challenge the conventional wisdom that enhancement of nonlinear optical processes in plasmonic nanomaterials can be fully predicted by their linear properties.
Optical Fabry-Perot like modes, situated diagonally as a function the gap, are observed in transmission through pairs of coupled nanocavities in gold film, while plasmonic wakes are observed from a linear array of individual cavities.
2016
We report the observation of fractional echoes in a double-pulse excited nonlinear system. Unlike standard echoes, which appear periodically at delays which are integer multiples of the delay between the two exciting pulses, the fractional echoes appear at rational fractions of this delay. We discuss the mechanism leading to this phenomenon, and provide experimental demonstration of fractional echoes by measuring third harmonic generation in a thermal gas of CO2 molecules excited by a pair of femtosecond laser pulses.
Plasmonic wakes are observed in a linear array of nanocavities in a gold film on glass substrate. The wakes are generated by the different propagation velocity of surface plasmons on the two sides of the film.
We demonstrate full control of the nonlinear phase in 3D, multilayer metamaterials. Functional nonlinear optical elements are designed and fabricated, demonstrating capabilities to generate and shape light beams and computer generated nonlinear holography.
A hologram is an optical element storing phase and possibly amplitude information enabling the reconstruction of a three-dimensional image of an object by illumination and scattering of a coherent beam of light, and the image is generated at the same wavelength as the input laser beam. In recent years, it was shown that information can be stored in nanometric antennas giving rise to ultrathin components. Here we demonstrate nonlinear multilayer metamaterial holograms. A background free image is formed at a new frequency - the third harmonic of the illuminating beam. Using e-beam lithography of multilayer plasmonic nanoantennas, we fabricate polarization-sensitive nonlinear elements such as blazed gratings, lenses and other computer-generated holograms. These holograms are analysed and prospects for future device applications are discussed.
Echo in mountains is a well-known phenomenon, where an acoustic pulse is mirrored by the rocks, often with reverberating recurrences. For spin echoes in magnetic resonance and photon echoes in atomic and molecular systems, the role of the mirror is played by a second, time-delayed pulse that is able to reverse the flow of time and recreate the original impulsive event. Recently, alignment and orientation echoes were discussed in terms of rotational-phase-space filamentation, and they were optically observed in laserexcited molecular gases. Here, we observe hitherto unreported fractional echoes of high order, spatially rotated echoes, and the counterintuitive imaginary echoes at negative times. Coincidence Coulomb explosion imaging is used for a direct spatiotemporal analysis of various molecular alignment echoes, and the implications to echo phenomena in other fields of physics are discussed.
We demonstrate full control of the nonlinear phase in 3D, multilayer metamaterials. Functional nonlinear optical elements are designed and fabricated, demonstrating capabilities to generate and shape light beams and computer generated nonlinear holography.
Metasurfaces, and in particular those containing plasmonic-based metallic elements, constitute an attractive set of materials with a potential for replacing standard bulky optical elements. In recent years, increasing attention has been focused on their nonlinear optical properties, particularly in the context of second and third harmonic generation and beam steering by phase gratings. Here, we harness the full phase control enabled by subwavelength plasmonic elements to demonstrate a unique metasurface phase matching that is required for efficient nonlinear processes. We discuss the difference between scattering by a grating and by subwavelength phase-gradient elements. We show that for such interfaces an anomalous phase-matching condition prevails, which is the nonlinear analogue of the generalized Snell's law. The subwavelength phase control of optical nonlinearities paves the way for the design of ultrathin, flat nonlinear optical elements. We demonstrate nonlinear metasurface lenses, which act both as generators and as manipulators of the frequency-converted signal.
2015
Optimizing the shape of nanostructures and nano-antennas for specific optical properties has evolved to be a very fruitful activity. With modern fabrication tools a large variety of possibilities is available for shaping both nanoparticles and nanocavities; in particular nanocavities in thin metal films have emerged as attractive candidates for new metamaterials and strong linear and nonlinear optical systems. Here we rationally design metallic nanocavities to boost their Four-Wave Mixing response by resonating the optical plasmonic resonances with the incoming and generated beams. The linear and nonlinear optical responses as well as the propagation of the electric fields inside the cavities are derived from the solution of Maxwell's equations by using the 3D finite-differences time domain method. The observed conversion-efficiency of near-infrared to visible light equals or surpasses that of BBO of equivalent thickness. Implications to further optimization for efficient and broadband ultrathin nonlinear optical materials are discussed.
We present one of the simplest classical systems featuring the echo phenomenon - a collection of randomly oriented free rotors with dispersed rotational velocities. Following excitation by a pair of time-delayed impulsive kicks, the mean orientation or alignment of the ensemble exhibits multiple echoes and fractional echoes. We elucidate the mechanism of the echo formation by the kick-induced filamentation of phase space, and provide the first experimental demonstration of classical alignment echoes in a thermal gas of CO2 molecules excited by a pair of femtosecond laser pulses.
Efficient four-wave mixing, with nonlinear response equivalent to BBO of the same thickness, is demonstrated for arrays of nanocavities milled in a free-standing gold film when their shape is properly designed.
2014
We demonstrate strong coupling of nanocavities in metal films, sparked by propagating surface plasmons. Unlike the coupling of metallic nanoparticles which decays over distances of tens of nanometers, the metallic nanocavities display long range coupling at distances of hundreds of nanometers for the properly selected metal/wavelength combinations. Such strong coupling drastically changes the symmetry of the charge distribution around the nanocavities as is evidenced by the nonlinear optical response of the medium. We show that when strongly coupled, equilateral triangular nanocavities lose their individual symmetry to adopt the lower symmetry of the coupled system and respond like a single dipolar entity. A quantitative model is suggested for the transition from individual to strongly coupled nanocavities.
The laser-induced deformation of a typical commercial cantilever commonly used for scanning near-field optical microscopes was investigated by means of a software package based on the finite element method. The thermo-mechanical behaviour of such a cantilever whose tip was irradiated by a laser beam was calculated in the temperature regime between room temperature and 850K. The spatial tip displacement was simulated at timescales
A systematic study of the influence of the excitation angle, the light polarization and the coating thickness of commercial SPM tips on the field enhancement in an apertureless scanning near-field optical microscope is presented. A new method to optimize the alignment of the electric field vector along the major tip axis by measuring the resonance frequency was developed. The simulations were performed with a MNPBEM toolbox based on the Boundary Element Method (BEM). The influence of the coating thickness was investigated for the first time. Coatings below 40 nm showed a drastic influence both on the resonance wavelength and the enhancement. A shift to higher angles of incidence for the maximum enhancement could be observed for greater tip radii.
The nonlinear optical dynamics of nanomaterials comprised of plasmons interacting with quantum emitters is investigated by a self-consistent model based on the coupled Maxwell-Liouville-von Neumann equations. It is shown that ultrashort resonant laser pulses significantly modify the optical properties of such hybrid systems. It is further demonstrated that the energy transfer between interacting molecules and plasmons occurs on a femtosecond time scale and can be controlled with both material and laser parameters.
We consider the optical properties of a gas of molecules that are brought to fast unidirectional spinning by a pulsed laser field. It is shown that a circularly polarized probe light passing through the medium inverts its polarization handedness and experiences a frequency shift controllable by the sense and the rate of molecular rotation. Our analysis is supported by two recent experiments on the laser-induced rotational Doppler effect in molecular gases and provides a good qualitative and quantitative description of the experimental observations.
2013
The nonlinear response of subwavelength nanocavities in thin silver films are investigated. We report on significant enhancements of the second harmonic generation (SHG) when the fundamental wavelength matches dimensional resonances within the nanocavities. The nonlinear polarization properties of the nanocavities are studied as well and found to be correlated with the cavity shape and symmetry. In some nanocavities with internal nanocorrugations, giant field enhancements are observed, making them excellent candidates for high sensitivity spectroscopy.
When a wave is reflected from a moving object, its frequency is Doppler shifted. Similarly, when circularly polarized light is scattered from a rotating object, a rotational Doppler frequency shift may be observed, with manifestations ranging from the quantum world (fluorescence spectroscopy, rotational Raman scattering and so on) to satellite-based global positioning systems. Here, we observe for the first time the Doppler frequency shift phenomenon for a circularly polarized light wave propagating through a gas of synchronously spinning molecules. An ensemble of such spinning molecules was produced by double-pulse laser excitation, with the first pulse aligning the molecules and the second (linearly polarized at a 45angle) causing a concerted unidirectional rotation of the 'molecular propellers'. We observed the resulting rotating birefringence of the gas by detecting a Doppler-shifted wave that is circularly polarized in a sense opposite to that of the incident probe.
Spots of second harmonic generation (SHG) are produced from nanopatterned sub-micrometer areas of nonlinear polymer media. Information is written by using a biased-AFM tip, a highly nonlinear polymer (poly(methyl metha-acrylate)-co- Disperse Red 1), and a novel "floating-tip nanolithography" (FTN) technique. Dipoles are oriented and aligned at the nanoscale under the biased-AFM tip, resulting in SHG production. The information is storable over weeks.
Localized plasmonic modes of metallic nanoparticles may hybridize like atomic orbitals forming a molecule. However, the rapid spatial decay of plasmonic fields outside the metal severely limits the range of these interactions to tens of nanometers. Herein, we demonstrate a strong coupling scheme between nanocavities carved in the same Silver metal films that is sustained by propagating surface plasmons within a hundreds of nanometers interval scale for a properly selected metal/wavelength combination. The nanotructures are patterned in Silver films by Focused Ion beam (FIB) with typical sizes in the 100 nm in all directions, also allowing to control the shape of the contours in different geometries [1]. Strong coupling drastically changes the symmetry of the charge distribution around the nanocavities, qualifying the highly symmetry-sensitive quadratic nonlinear optical response of the medium as a relevant probe [2,3]. We show by means of polarization resolved second-harmonic generation in a confocal microscope configuration that strongly coupled equilateral triangular nanocavities lose their individual three-fold symmetry to adopt the lower symmetry of the coupled system (see Figure).
A pair of linearly polarized pump pulses induce field-free unidirectional molecular rotation, which is detected by a delayed circularly polarized probe. The polarization and spectrum of the probe are modified by the interaction with the molecules, in accordance with the Rotational Doppler Effect.
2012
Single shot time resolved four wave mixing is a powerful tool for the acquisition of dynamic and spectroscopic data from molecules susceptible to bleaching or other photo-induced damage. We add polarization dependence to single shot methods, and demonstrate how magic angle measurements are made simpler by this methodology. We propose a new approach to single shot combined time/polarization measurements which can be generalized to other two dimensional combinations. This journal is
We demonstrate strong coupling between molecular excited states and surface plasmon modes of a slit array in a thin metal film. The coupling manifests itself as an anticrossing behavior of the two newly formed polaritons. As the coupling strength grows, a new mode emerges, which is attributed to long-range molecular interactions mediated by the plasmonic field. The new, molecular-like mode repels the polariton states, and leads to an opening of energy gaps both below and above the asymptotic free molecule energy.
Recently, several femtosecond-laser techniques have demonstrated molecular excitation to high rotational states with a preferred sense of rotation. We consider collisional relaxation in a dense gas of such unidirectionally rotating molecules, and suggest that due to angular momentum conservation, collisions lead to the generation of macroscopic vortex gas flows. This argument is supported using the Direct Simulation MonteCarlo method, followed by a computational gas-dynamic analysis.
Spectroscopy aims at extracting information about matter through its interaction with light. However, when performed on gas and liquid phases as well as solid phases lacking long-range order, the extracted spectroscopic features are in fact averaged over the molecular isotropic angular distributions. The reason is that light-matter processes depend on the angle between the transitional molecular dipole and the polarization of the light interacting with it. This understanding gave birth to the constantly expanding field of "laser-induced molecular alignment". In this paper, we attempt to guide the readers through our involvement (both experimental and theoretical) in this field in the last few years. We start with the basic phenomenon of molecular alignment induced by a single pulse, continue with selective alignment of close molecular species and unidirectional molecular rotation induced by two time-delayed pulses, and lead up to novel schemes for manipulating the spatial distributions of molecular samples through rotationally controlled scattering off inhomogeneous fields and surfaces.
The incorporation of spectral resolution in time resolved Four Wave Mixing spectroscopy provides important information for the interpretation of the observed spectra. We demonstrate experimentally a new method whereby the combined time and frequency resolved information may be obtained within a single laser pulse. The method is based on Phase Matching Spectral Filtering for the tuning of the generated nonlinear signal, which in turn utilizes the constraints imposed by strict phase matching of parallel input beams in our geometrical arrangement. The measurements were performed on a simple molecule (CH 2Br 2), and are used for identification of molecular degrees of freedom not otherwise possible in pure time resolved methods.
Shape and size resonant plasmonic enhancement of Second Harmonic Generation (SHG) from individual and coupled nanoholes in thin metal films is studied, and giant signals are observed from individual hot spots.
2010
Nanoparticles of materials with layered structure are able to spontaneously form closed-cage nanostructures such as nested fullerene-like nanoparticles and nanotubes. This propensity has been demonstrated in a large number of compounds such as WS2, NiCl2, and others. Layered metal oxides possess a higher ionic character and consequently are stiffer and cannot be evenly folded. Vanadium pentoxide (V2O5), a layered metal oxide, has received much attention due to its attractive qualities in numerous applications such as catalysis and electronic and optical devices and as an electrode material for lithium rechargeable batteries. The synthesis by pulsed laser ablation (PLA) of V2O5 hollow nanoparticles, which are closely (nearly) associated with inorganic fullerene-like (NIF-V 2O5) nanoparticles, but not quite as perfect, is reported in the present work. The relation between the PLA conditions and the NIF-V 2O5 morphology is elucidated. A new mechanism leading to hollow nanostructure via crystallization of lower density amorphous nanoparticles is proposed. Transmission electron microscopy (TEM) is used extensively in conjunction with structural modeling of the NIF-V 2O5 in order to study the complex 3-D structure of the NIF-V2O5 nanoparticles. This structure was shown to be composed of facets with their low-energy surfaces pointing outward and seamed by defective domains. These understandings are used to formulate a formation mechanism and may improve the function of V2O5 in its many uses through additional morphological control. Furthermore, this study outlines which properties are required from layered compounds to fold into perfectly closed-cage IF nanoparticles.
We demonstrate a new approach to Four Wave Mixing spectroscopy involving simultaneous measurements at time and frequency domains, where spectral selectivity is achieved by phase matching filtering, and the time resolution is obtained within a single ultra-short pulse. We analyze the Four Wave Mixing signal, and show that our method is capable for discrimination between different spectroscopic pathways of vibrational coherences modulating the scattered signal.
For various applications of nanoscale surface modification by an Atomic Force Microscope, one would like to maintain the AFM tip near the surface and at an accurately controlled elevated temperature. We study the laser heating of an ordinary AFM silicon tip under ambient conditions, and show that a tightly focused laser beam can heat the tip apex to the desired temperature, while affecting the cantilever quite moderately. We demonstrate that the observation of the shift of the silicon Raman line scattered from the tip is an efficient and accurate way to determine the tip temperature, and we substantiate our observations by theoretically modeling the dynamics of heat accumulation in the tip-cantilever system. For situations where Raman measurements are not feasible, we introduce a new method for estimating the tip temperature by monitoring the mechanical resonance frequency shift of the probe.
A pulsed IR laser beam was used to align a peptide at the air-water interface. This peptide was designed to form a cyclic ß-strand dimer through Glu-Lys interactions in solution, which, when spread onto water, yielded a self-assembled ß-sheet bilayer (see picture) following solvent evaporation. During this process illumination with linearly polarized laser light induced formation of an aligned crystalline film, whereas circular polarization did not. (Figure Presented).
Numerous examples of closed-cage nanostructures, such as nested fullerene-like nanoparticles and nanotubes, formed by the folding of materials with layered structure are known. These compounds include WS2, NiCl2, CdCl2, Cs2O, and recently V2O5. Layered materials, whose chemical bonds are highly ionic in character, possess relatively stiff layers, which cannot be evenly folded. Thus, stress-relief generally results in faceted nanostructures seamed by edge-defects. V2O5, is a metal oxide compound with a layered structure. The study of the seams in nearly perfect inorganic "fullerene-like" hollow V2O5 nanoparticles (NIFV2O5) synthesized by pulsed laser ablation (PLA), is discussed in the present work. The relation between the formation mechanism and the seams between facets is examined. The formation mechanism of the NIF-V2O5 is discussed in comparison to fullerene-like structures of other layered materials, like IF structures of MoS2, CdCl2, and Cs2O. The criteria for the perfect seaming of such hollow closed structures are highlighted.
Laser induced molecular alignment on slow and fast time scales is attracting significant attention. Various applications based on the time-dependent alignment of molecules were suggested [1] and demonstrated, ranging from optical gating and alignment-dependent strong field ionization to molecular phase modulators for the compression of ultrashort light pulses[2]. We have experimentally demonstrated selective alignment of close molecular species, isotopes and nuclear spin isomers[3], and more recently we discussed unidirectional rotation induced by the application of two ultrafast pulses
2009
We introduce a new scheme for controlling the sense of molecular rotation. By varying the polarization and the delay between two ultrashort laser pulses, we induce unidirectional molecular rotation, thereby forcing the molecules to rotate clockwise/counterclockwise under field-free conditions. We show that unidirectionally rotating molecules are confined to the plane defined by the two polarization vectors of the pulses, which leads to a permanent anisotropy in the molecular angular distribution. The latter may be useful for controlling collisional cross-sections and optical and kinetic processes in molecular gases. We discuss the application of this control scheme to individual components within a molecular mixture in a selective manner.
We present a new approach to nonresonant laser deceleration and cooling of atoms based on their interaction with a bistable optical cavity. The cooling mechanism presents a photonic version of Sisyphus cooling, in which the conservative motion of atoms is interrupted by sudden transitions between two stable states of the cavity mode. The mechanical energy is extracted due to the hysteretic nature of those transitions. The bistable character of the cavity may be achieved by an external feedback loop, or by means of nonlinear intracavity optical elements. In contrast to the conventional cavity cooling, in which atoms experience a viscoustype force, bistable cavity cooling imitates "dry friction" and stops atoms much faster. Based on this novel approach, we explore the prospects of using optical bistability for efficient radiation pressure cooling of micromechanical devices that are modeled as a Fabry-Perot resonator with one fixed and one oscillating mirror. In all cases, analytical results are presented, supported by realistic numerical examples.
By varying the polarization and delay between two ultrashort laser pulses, we control the plane, speed, and sense of molecular rotation. This control may be implemented to individual components within a molecular mixture.
A new method is demonstrated whereby strict phase matching conditions in forward propagating four wave mixing experiments allow both spectral and temporal resolution within a single ultrashort laser pulse.
Novel mode of AFM operation is demonstrated to be efficient for non-contact laser induced nano-lithography on the surface of polymers and of metals by means of two different mechanisms: localized heat transfer and electro-magnetic field enhancement.
By varying the polarization and delay between two ultrashort laser pulses, we control the plane, speed, and sense ofmolecular rotation. This control may be implemented to individual components within a molecular mixture.
2008
We demonstrate noncontact, high quality surface modification of soft and hard materials with spatial resolution of ∼20 nm. The nanowriting is based on the interaction between the surface and the tip of a standard atomic force microscope illuminated by a focused femtosecond laser beam and hovering (at ambient conditions) 1-4 nanometers above the surface without touching it. Field enhancement at the tip-sample gap or high tip temperature are identified as the causes of material ablation.
We demonstrate selective control over rotational motion of small, linear molecules. By means of sequential excitation of the rotational motion by ultrashort pulses, we first prepare transiently aligned molecules with periodically revived angular distribution. Upon further, properly timed excitation, the rotational energy can be increased or decreased, depending on the exact timing of the second pulse. We show how this approach can be applied for selective rotational control of a single component in a molecular mixture. We discuss this selectivity in the context of molecular isotopes ( 14N2, 15N2), where the difference in isotopic mass gives rise to different rotational revival times. We further apply the method to the selective addressing of molecular spin isomers (para, ortho15N2) in a mixture, where wavefunction symmetry differences replace the mass differences as the origin of the selectivity. In both cases the method is demonstrated experimentally and the results are analysed theoretically.
Novel mode of AFM operation is proposed providing the small, few nanometers tip to sample gap, appropriate for the ANSOM experiments. A set-up open for the run-time adjustments, working at ambient conditions is considered. Efficiency of a method is demonstrated by applying it to the laser nano-lithography on different materials with a regular AFM tip.
A novel heterodyne detection technique is introduced for femtosecond time resolved four wave mixing (TRFWM). A 'local oscillator' field is generated in situ either by the self alignment of the molecules in the ultrashort field, or by the rotational alignment signal from a small amount of anisotropic molecules added to the sample. Like other heterodyne detection schemes, the method enables linearization of the third-order nonlinear signal and clear identification of fundamental vibrational modes and their separation from vibrational beat frequencies. However, unlike others, the method is easy to implement and does not require interferometric stability of the optical setup.
2007
Following excitation by a strong ultra-short laser pulse, molecules develop coordinated rotational motion, exhibiting transient alignment along the direction of the laser electric field, followed by periodic full and fractional revivals that depend on the molecular rotational constants. In mixtures, the different species undergo similar rotational dynamics, all starting together but evolving differently with each demonstrating its own periodic revival cycles. For a bimolecular mixture of linear molecules, at predetermined times, one species may attain a maximally aligned state while the other is anti-aligned (i.e. molecular axes are confined in a plane perpendicular to the laser electric field direction). By a properly timed second laser pulse, the rotational excitation of the undesired species may be almost completely removed leaving only the desired species to rotate and periodically realign, thus facilitating further selective manipulations by polarized light. In this paper, such double excitation schemes are demonstrated for mixtures of molecular isotopes (isotopologues) and for nuclear spin isomers.
We propose a generic approach to nonresonant laser cooling of atoms and molecules in a bistable optical cavity. The method exemplifies a photonic version of Sisyphus cooling, in which the matter-dressed cavity extracts energy from the particles and discharges it to the external field as a result of sudden transitions between two stable states.
We experimentally demonstrate field-free, spin-selective alignment of ortho- and para molecular spin isomers at room temperature. By means of two nonresonant, strong, properly delayed femtosecond pulses within a four wave mixing arrangement, we observed selective alignment for homonuclear diatomics composed of spin 1/2 (N15) or spin 1 (N14) atoms. The achieved selective control of the isomers' angular distribution and rotational excitation may find applications to analysis, enrichment, and actual physical separation of molecular spin modifications.
Single-shot time resolved Coherent Anti-Stokes Raman Scattering (CARS) is presented as a viable method for fast measurements of molecular spectra. The method is based on the short spatial extension of femtosecond pulses and maps time delays between pulses onto the region of intersection between broad beams. The image of the emitted CARS signal contains full temporal information on the field-free molecular dynamics, from which spectral information is extracted. The method is demonstrated on liquid samples of CHBr3 and CHCl 3 and the Raman spectrum of the low-lying vibrational states of these molecules is measured.
We demonstrate single-pulse retrieval of coherent vibrational evolution of molecules by geometrical space-time mapping combined with non-linear signal imaging. The method is tested experimentally to yield spectrum of simple liquids.
We demonstrate single-pulse polarization sensitive measurement of coherent vibrational dynamics of molecules by geometrical space-time mapping combined with non-linear signal imaging.
Double pulse excitation of fractional revivals of rotational wavepackets is demonstrated as an effective tool for spin-selective alignment in a multi-component mixture of molecular spin isomers.
We demonstrate single-pulse retrieval of coherent vibrational evolution of molecules by geometrical space-time mapping combined with non-linear signal imaging. The method is tested experimentally to yield spectrum of simple liquids.
We propose a generic approach for nonresonant laser cooling of atoms/molecules based on their interaction with a bistable optical cavity. The cooling mechanism is of Sisyphus type, and it does not require high-finesse cavities.
(Figure Presented) Opening the window: Hollow multilayer nano-octahedra (see TEM image and structure) often appear in the laser-ablation products of layered transition-metal chalcogenides. Calculations on MoS2 nanoparticles demonstrate that nanooctahedra exist in a window of stability between nanoplatelets and spherical fullerene-like nanoparticles.
We demonstrate single shot retrieval of coherent molecular field-free evolution by geometric space-time mapping combined with non-linear signal imaging. The method was experimentally tested to yield accurate spectrum of CHBr3 and CHCl3 molecules.
We propose a generic approach for nonresonant laser cooling of atoms/molecules based on their interaction with a bistable optical cavity. The cooling mechanism is of Sisyphus type due to hysteretic character of the cavity field.
Double pulse excitation of fractional revivals of rotational wavepackets is demonstrated as an effective tool for spin-selective alignment in a multi-component mixture of molecular spin isomers.
Novel mode of AFM operation is proposed providing the small, few nanometers tip to sample gap, appropriate for the ANSOM experiments. A set-up open for the run-time adjustments, working at ambient conditions is considered.
We demonstrate a novel experimental approach to heterodyne detection where the local oscillator field is derived from the alignment of polarizable anisotropic molecules added in small amounts to the measured sample.
2006
MoS2 nanooctahedra are believed to be the smallest stable closed-cage structures of MoS2, i.e., the genuine inorganic fullerenes. Here a combination of experiments and density functional tight binding calculations with molecular dynamics annealing are used to elucidate the structures and electronic properties of octahedral MoS2 fullerenes. Through the use of these calculations MoS2 octahedra were found to be stable beyond nMO > 100 but with the loss of 12 sulfur atoms in the six corners. In contrast to bulk and nanotubular MoS2, which are semiconductors, the Fermi level of the nanooctahedra is situated within the band, thus making them metallic-like. A model is used for extending the calculations to much larger sizes. These model calculations show that, in agreement with experiment, the multiwall nanooctahedra are stable over a limited size range of 104-105 atoms, whereupon they are converted into multiwall MoS2 nanoparticles with a quasi-spherical shape. On the experimental side, targets of MoS2 and MoSe2 were laser-ablated and analyzed mostly through transmission electron microscopy. This analysis shows that, in qualitative agreement with the theoretical analysis, multilayer nanooctahedra of MoS2 with 1000-25 000 atoms (Mo + S) are stable. Furthermore, this and previous work show that beyond ∼105 atoms fullerene-like structures with quasi-spherical forms and 30-100 layers become stable. Laser-ablated WS2 samples yielded much less faceted and sometimes spherically symmetric nanocages.
It is well accepted by now that nanoparticles of inorganic layered compounds form closed-cage structures (IF). In particular closed-cage nanoparticles of metal dihalides, like NiCl2, CdCl2 and CdI2 were shown to produce such structures in the past. In the present report IF-NiBr2 polyhedra and quasi-spherical structures were obtained by the evaporation/recrystallization technique as well as by laser ablation. When the nanoclusters were formed in humid atmosphere, nickel perbromate hydrate [Ni(BrO4)2(H2O)6] polyhedra and short tubules were produced, as a result of a reaction with water. Nanooctahedra of NiBr2 were found occasionally in the irradiated soot. The reoccurrence of this structure in the IF family suggests that it is a generic one. Consistent with previous observations, this study showed that formation of the IF materials stabilized the material under the electron-beam irradiation. The growth mechanism of these nanostructures is briefly discussed.
Optical shaking with feedback is proposed as a new method for laser cooling of atoms and molecules to high phase-space density and without the loss of particles typical of evaporative cooling.
We explore the prospects of optical shaking, a recently suggested generic approach to laser cooling of neutral atoms and molecules. Optical shaking combines elements of Sisyphus cooling and of stochastic cooling techniques and is based on feedback-controlled interaction of particles with strong nonresonant laser fields. The feedback loop guarantees a monotonous energy decrease without a loss of particles. We discuss two types of feedback algorithms and provide an analytical estimation of their cooling rate. We study the robustness of optical shaking against noise and establish minimal stability requirements for the lasers. The analytical predictions are in a good agreement with the results of detailed numerical simulations.
Experimental demonstration of single shot femtosecond three-dimensional phase matched CARS is reported, where two-dimensional temporal information (intensity vs. pump- Stokes and pump-probe delays) is derived by geometrical imaging of the CARS signal beam.
We demonstrate single shot retrieval of coherent molecular field-free evolution by geometric space-time mapping combined with non-linear signal imaging.
Selective alignment by femtosecond pulses of molecules in multi-component mixtures is shown to be a powerful tool for the detection, identification, and separation of chemically close species.
We experimentally demonstrate isotope-selective alignment in a mixture of N214, N215 isotopes. Following a strong ultrashort laser pulse rotational excitation, the angular distributions of the isotopes gradually become different due to the mismatch in their moments of inertia. At predetermined times, the desired isotope attains an aligned state while the other component is antialigned, facilitating further selective manipulations by polarized light. By a properly timed second laser pulse, the rotational excitation of the undesired isotope is almost completely removed.
2005
(Figure Presented) Fullerene-like Cs2O nanoparticles were prepared by laser ablation of 3R-Cs2O powder in evacuated quartz ampoules. The Cs2O closed cages, such as the faceted nanoparticle shown in the picture, are remarkably stable as compared with the corresponding extremely unstable but technically important bulk compound, which makes them potentially useful in applications involving cesium oxide coatings, for example, photoemissive devices and catalytic converters.
We propose a novel generic approach to laser cooling based on the nonresonant interactions of atoms and molecules with optical standing waves experiencing sudden phase jumps. The technique, termed "optical shaking," combines the elements of stochastic cooling and Sisyphus cooling. An optical signal that measures the instantaneous force applied by the standing wave on the ensemble of particles is used as feedback to determine the phase jumps. This guarantees a drift towards lower energies and higher phase-space density without the loss of particles typical of evaporative cooling.
Ultrashort pulses are routinely used for material processing. Since the ablation cannot be faster than the electron phonon equilibration times, temporal pulse shaping, and proper selection of pulse duration may offer advantages. We find that the shortest pulse is not always the best in terms of ablation efficiency and quality, and develop tools for using adaptive pulse shaping for the optimization process.
Following alignment by a strong femtosecond pulse, we observe multiple revivals of molecular rotational wavepackets in isotopic mixtures. Pronounced separation of isotopic signals and their interferences are demonstrated paving the way for a new isotope separation technique.
2004
Temporal shaping of femtosecond laser pulses is used for the optimization of laser material processing. We find that the shortest pulse is not always the best in terms of ablation efficiency and quality.
Femtosecond laser ablation occurs on timescales faster than the thermalization of the excited electrons and the lattice in solid materials. The ultrafast deposition of energy competes with the slower electron-phonon energy redistribution, raising the question of what is the optimal pulse duration for efficient deposition of energy while minimizing peripheral damage, and whether the shortest pulse is always the most efficient. We studied femtosecond laser ablation of silicon and several metals, varied the pulse duration while keeping all other parameters equal, and looked for optimal conditions. The main findings in our study are that at low fluences, not too high above the ablation threshold, the shortest pulses are the most efficient, whereas under high fluence conditions, well above the ablation threshold, longer pulses ablate more efficiently. In order to facilitate eventual direct, real time optimization, we developed a diagnostics tool for the monitoring of the ablation efficiency over a wide range of pulse durations. The intensity of the emission at atomic lines (i.e. the 289 nm line in Silicon, calibrated by plasma emission at other wavelengths) provides such information, while optical and AFM microscopy provide reliable information about the quality of ablated structures.
2003
Tin disulfide pellets were laser ablated in an inert gas atmosphere, and closed cage fullerene-like (IF) nanoparticles were produced. The nanoparticles had various polyhedra and short tubular structures. Some of these forms contained a periodic pattern of fringes resulting in a superstructure. These patterns could be assigned to a superlattice created by periodic stacking of layered SnS2 and SnS. Such superlattices are reminiscent of misfit layer compounds, which are known to form tubular morphologies. This mechanism adds up to the established mechanism for IF formation, namely, the annihilation of reactive dangling bonds at the periphery of the nanoparticles. Additionally, it suggests that one of the driving forces to form tubules in misfit compounds is the annihilation of dangling bonds at the rim of the layered structure.
A new method of laser-induced lithography for direct writing of carbon on a glass surface is described, in which deposition occurs from a transparent precursor solution. At the glass-solution interface where the laser spot is focused, a micro-explosion process takes place, leading to the deposition of pure carbon on the glass surface. Transmission electron microscopy (TEM) analysis shows two distinct co-existing phases. The dominant one shows a mottled morphology with diffraction typical of cubic (sp3) diamond. The other region shows an ordered array of graphene sheets with diffraction pattern typical of sp2-bonded carbon. The sp3 crystallites range in size from 9 to 30 Å and are scattered randomly throughout the sample. A UV Raman spectrum shows a broad band at the location of the expected diamond peak, together with a peak corresponding to the graphite region. We conclude that the patterned carbon is composed of a mixture of nanocrystalline sp3 and sp2 carbon forms.
Laser ablation has been extensively used for the synthesis of nanoparticles of various sorts, and in particular single wall carbon nanotubes and C60 molecules. NiCl2 nanotubes were recently also produced using this technique. While fullerene-like NiCl2 structures can be obtained through regular ablation, vapor phase enriched with CCl4 gas (reactive ablation) is necessary for the synthesis of the nanotubes. The experimental results indicate that the synthesis of such nanotubes is much more difficult than the synthesis of say MoS2 or WS2 nanotubes. Moreover, the NiCl2 nanotubes are of larger diameter and consist on the average of more layers than their MoS2 predecessors. First principle calculations show that single layer NiCl2 nanotubes of diameter smaller than 54 nm are unstable and lose their outer chlorine atoms. In contrast, MoS2 nanotubes with diameter of 2 nm and larger are found to be stable using the same kind of calculations. To gain better understanding of the differences between the materials, a review of the mechanical properties of layered metal dihalide and metal dichalcogenide compounds is undertaken. First principle calculations show that the Young's and bending moduli of NiCl2 are almost twice larger than those of MoS2. The large ionicity of NiCl2 entails much larger shear and stacking fault energies for this compound as compared to MoS2, which explains its smaller propensity to bend and fold. These observations are supported by analysis of the corresponding Raman modes. Furthermore, metal dihalide compounds are very hygroscopic making their handling, and especially their analysis more difficult. This analysis explains the greater difficulties to grow NiCl2 nanotubes or fullerene-like nanoparticles, as compared to their MoS2 analogues.
We propose a novel generic approach to laser cooling based on non-resonant interactions with optical standing waves experiencing random sudden phase jumps. The technique, termed \u201coptical shaking\u201d, is applicable to the cooling of atoms and molecules to high phase space densities and without the loss of particles typical of evaporative cooling.
2002
Laser ablation is a powerful technique for producing nanoparticles such as C60. In comparison to high-temperature gas-phase or solid/gas-phase reactions, the laser ablation technique is found to be suitable for the growth of nano-crystals of a specific shape and size. This paper reports on the synthesis, by means of a modified laser ablation technique, of inorganic fullerene-like structures (IF) of NiCl2, in the form of polyhedral and nanotubes.
To account for vibrational wavepackets, two independent time delays between the three lasers fields of the coherent anti-Stokes Raman scattering (CARS) process were used. Starting from the equilibrium ground state of a molecule, the molecule with a short-laser pulse was excited to a higher electronic state. Following this, the generated wavepacket was allowed to evolve to a state which is strongly coupled to the desired ground state, and induce this transition by a second laser pulse (Stokes).
2001
The vibrational polarization beats in femtosecond coherent anti-Stokes Raman spectroscopy (CARS) were studied. The experiment used a sequence of three femtosecond pulses with two variable time delays. The first two pulses act as a pump and dump sequence to create highly excited wave packet and the third pulse promotes the pump-dump wave packet to an excited electron state. It was shown that the betas arise when the final pump-dump-pump wave is above the excited state dissociation threshold of the molecule. The predictions of analytical theory were confirmed through the numerical evaluation of CARS signal through vibrational wave packet propagation.
The monitoring and preparation of vibrational wavepackets with high quantum numbers was investigated by femtosecond time-delayed coherent anti-Stokes Raman scattering (TD)(CARS). A method utilizing two separate time delays between the pulses for the preparation of vibrational wavepackets in bulk gas-phase molecular iodine was demonstrated. The method was also used to investigate interference effects in femtosecond four-wave-mixing signals generated by molecular wavepackets.
Coherence observation by interference noise (COIN) was used to measure fractional wave packet motion of thermal iodine. COIN interferograms were presented for different excitation wavelengths to analyze fractional vibrational revivals. The simulation results showed that the complex temporal structure of the observed fluorescence included rapid initial damping in short-time regime. The observation of the wave packets on long time scale indicated a delicate balance between rotational and vibrational molecular coherences.
We investigate the interaction of two molecules or nanosized particles with a nearly resonant laser field under the tip of an apertureless near-held microscope. We show that interference of several scattering channels provides means for enhanced spatial resolution. The visibility of two separate nano objects is considered, and a natural definition emerges for the resolution of the apertureless microscope operating under conditions of nearly resonant illumination. The probe tip creates an additional coupling channel between the two molecules, and thus affects the energy transfer between them. We demonstrate that the tip can either enhance or suppress this transfer. Two models fur the tip geometry are considered: a simplified pointlike dipole, and a more realistic elongated spheroid. Quantitative results are obtained for the dependence on irradiation frequency and tip position for dielectric as well as metallic tips. In particular, specific results are obtained for a silver tip under conditions of plasmon resonance, and we show that under fully resonant conditions the tip may enhance the intermolecular energy transfer by nearly two orders of magnitude.
2000
A method for preparing molecules in high vibrational excited states in the electronic ground states is provided. A wavepacket in the electronic excited state by means of a short pump pulse is used. This wavepacket is allowed to propagate in the excited state such that delayed pulse brings it down to desired ground state wavepacket.
The principle of coherence observation by interference noise [COIN, Kinrot et al., Phys. Rev. Lett. 75, 3822 (1995)] has been applied as a new approach to measuring wavepacket motion. In the COIN experiment pairs of phase-randomized femtosecond pulses with relative delay time τ prepare interference fluctuations in the excited state population, so the correlated noise of fluorescence intensity-the variance varF(τ)-directly mimics the dynamics of the propagating wavepacket. The scheme is demonstrated by measuring the vibrational coherence of wavepacket motion in the B-state of gaseous iodine. The COIN interferograms obtained recover propagation, recurrences and spreading as the typical signature of wavepackets. The COIN measurements were performed with precisely tuned excitation pulses which cover the bound part of the B-state surface up to the dissociative limit. In combination with preliminary numerical calculations, comparison has been made with results from previous phase-locked wavepacket interferometry and pump-probe experiments, and conclusions drawn about the limitations of the method and its applicability to quantum dynamical research.
Isolated diamond crystals are grown by hot filament chemical vapor deposition (CVD) on Si-substrates without nucleation enhancement. We investigate the development of isolated diamond crystals under changing growth conditions. The growth parameter α = √3v1 0 0/v1 1 1 is determined from isolated diamond crystals and the same crystal is regrown several times and detected repeatedly by a scanning electron microscope. The change in morphology can be followed as the growth conditions are changing. Multiply twinned particles are also investigated and observed to change their morphology with the growth parameter α. The dependence of the idiomorphic shape on the growth parameter α is measured experimentally and compared with model calculations. It is shown that the basic determination of the morphology of a multiply twinned particle occurs at the early part of the nucleation phase.
The excitation of molecules into specific wavepackets in high vibrational states in the ground electronic states was experimentally demonstrated. Two dimensional time delay coherent anti strokes Raman scattering method (TD)2CARS is based on exciting the molecule from the equilibrium ground state to an electronic state strongly coupled to ground state with a femtosecond ultrashort laser pulse. The generated wavepacket is evolved to a state strongly coupled to the desired ground state vibrations and induce an electronic transition to the final wavepacket in the ground state. This method provided the information for the generated wavepackets.
Two resonant molecules located near the tip of an apertureless near-field scanning optical microscope (NSOM) are addressed. Various models are considered for the nanosized probe tip: a point-like dipole, a small dielectric sphere, and an elongated spheroidal metallic nanoparticle. In all the cases, the molecules are modeled as classical point-like dipoles.
The light scattering from a single resonant molecule, or nano-sized particle located near the tip of an apertureless scanning near-field microscope is studied, and different regimes of scattering are analyzed. The tip enhances the external field, and serves as an efficient transmission 'antenna' for the molecular dipole oscillations. The light scattering occurs via two channels: direct scattering from the tip, and tip-mediated molecular scattering. The total detected intensity of the scattered light shows interference of the channels, which we suggest to use for efficient near-field microscopy. At certain detunings from resonances the scanning signal experiences spatial narrowing similar to that one observed in two-photon microscopy, thus allowing for sub-nanometer resolution.
A novel approach to the preparation and monitoring of molecules in high vibrational levels in their electronic ground state is presented. An ultrashort laser pulse prepares a well defined wavepacket in the electronic excited state and, following the evolution of this wavepacket, the proper frequency and timing are selected to optimize its coupling back down to high vibrational levels in the ground state. The evolution of the wavepacket in the ground state is then monitored by a time-delayed coherent scattering from the polarization that has been induced in the ground state by the first two pulses. The ability to populate vibrations as high as v = 26 for molecular iodine is demonstrated experimentally and the potential of the new method [which is termed (TD)2CARS] for further developments towards mode-selective excitations is discussed. Copyright (C) 2000 John Wiley and Sons, Ltd.
1999
We experimentally create and theoretically explain a different type of highly anisotropic atomic angular-momentum distribution with two preferential axes. Such a biaxial spatial orientation is created by optical pumping with elliptically polarized light, and measured by the observation of coherent population trapping in a weak external magnetic field. We probe the angular-momentum distribution by the Hanle configuration, and observe two dark resonances at nonzero magnetic fields - the expected signature of the biaxial spatial geometry. A direct method for preparing arbitrarily oriented atomic ensembles is discussed.
Raman spectroscopy has developed as a major technique to determine the quality of chemical vapor deposited (CVD)-grown diamond films. However, the use of spontaneous Raman spectroscopy for in-situ measurements is difficult due to the high luminosity of the CVD reactor. We demonstrate the technique of back-scattering coherent anti-stokes Raman spectroscopy (CARS) as a new way to measure the Raman spectrum of polycrystalline diamond films. After further optimization, back-scattering CARS should prove useful as a tool for in-situ diagnostics during diamond film growth.
We present a new procedure for pretreatment seeding by ultrasonic agitation of silicon substrates in diamond nano-powder suspensions to which HF and KOH were added X-ray photoelectron spectroscopy (XPS) was used to measure the surface coverage by diamond nuclei immediately after the pretreatment. Coverage percentages of 70, 40 and 55% were obtained for the HF, KOH and the original diamond slurry, respectively. The seeding density (SD) was calculated from the known nano-particles size, determined independently from X-ray diffraction of the powder. For nano-particle size of ~6 nm, we obtain nominal seeding densities of the order ~1012 cm-2. The advantage of the high coverage was most evident for films deposited at low substrate temperature (570 °C). The potential of the new seeding procedure and the XPS characterization method are discussed.
The interaction of laser light of arbitrary polarization with systems of high angular momentum is considered. We show that elliptically polarized light creates an anisotropic spatial distribution of atomic and molecular angular momentum which is qualitatively different from the alignment and orientation induced by light of circular or linear polarization. Multilevel coherent population trapping within a manifold of ground-state magnetic sublevels results in a nonclassical behavior of a high-[Formula Presented] molecular rotor. The classical approximation for the angular momentum distribution is compared with the exact quantum calculations, and is shown to fail in cases of long interaction times and high intensities of the exciting light. In these limits, the quantum uncertainty defines the spatial width of the angular distribution. The applicability of the classical treatment is analyzed and found to be different in the cases of [Formula Presented] and [Formula Presented] transitions. A biaxial spatial orientation with two preferential axes of rotation is experimentally created in sodium atoms via coherent population trapping by elliptically polarized light. A method for producing an arbitrary orientation of atomic angular momentum by magnetic field assisted coherent population trapping is proposed.
1998
We describe a method for interferometric distance measurements in the presence of phase noise. The method is based on the beating between white light and a reference beam that travel along the same path through the interferometer. Since both the reference and the white light suffer the same phase noise, the envelope of the high frequency fringes is not affected by the noise. By measuring the signal variance? we recover the envelope while averaging out the high frequency fringes. We demonstrate the usefulness of the method for surface profilometers.
We present the first experimental proof for the existence of elliptical dark states, the multilevel analog of the well known three-level dark states. An ensemble of multilevel atoms, when prepared by elliptically polarized light, becomes transparent to probe light of the same polarization. The effect stems from laser-induced coherences between many ground-state magnetic sublevels which reflect the polarization of the light that had created the dark state. The novelty and essential character of the dark states are elucidated by the experimental demonstration of their creation by incoherent light. It is anticipated that elliptical dark states will play an important role in the laser cooling and manipulation of molecules.
1997
1996
Coherent-population trapping, heretofore realized in closed systems, is also possible in highly degenerate open molecular systems. We consider a rovibrational molecular transition, where the ground magnetic m-sublevels are coupled to the corresponding upper states, and are therefore expected to be emptied after a few lifetimes. We show that upon excitation by elliptically polarized light, the population remains trapped in a coherent superposition of ground-state sublevels which does not interact further with the exciting light. Unlike the simple cases of linearly and circularly polarized light and of a closed three-level system (i.e. atoms), here the trapping level is not the one with |m| = 0, J, but rather a combination of several states, which depends on the ellipticity of the exciting light.
1995
We present a new approach to the measurement of coherence. By monitoring the quantum interference fluctuations in the population excited by a pair of time-delayed, randomly phased pulses, it is possible to extract information on internal dynamics, energy level splittings, and characteristic coherence decay times of the medium. As a proof of concept, we demonstrate the measurement of phase relaxation and doublet separation in atomic potassium. The principle of coherence observation by interference noise is very general, is shown to be robust and with inherent time resolution of a few optical cycles, and is proposed as an alternative to many;interferometric applications.
The optical density of a resonant medium significantly affects the output signal in time resolved nonlinear optical interactions. The resonant interaction with a medium reshapes any propagating short pulse, and the mutual interaction of several such pulses, as in four-wave mixing, must be treated self-consistently. We present a theoretical framework for the proper handling of the propagation of all pulses, input as well as generated, in the small area limit. For optically thick resonant absorbers, negative time delay signals are observed, and the apparent decay rate of the induced polarization is faster than the rate observed for thin samples. We experimentally measure degenerate four-wave mixing in an atomic medium as an example, and demonstrate the quality of the theoretical model by the excellent fit to measured signals over several orders of magnitude. The improved understanding enables us to provide a simple, but surprisingly accurate, estimate for the apparent decay rate in homogeneously broadened optically thick media: If the absorption is given by α, the propagation length is L, and the transverse relaxation time is T2, the apparent decay rate 2/Ta of a time resolved four-wave mixing signal is given by 2/Ta=(2/T2)(1+αL/2).
1994
We show that four-wave mixing in optically dense media is very different than in an optically thin medium. In time-resolved degenerate four-wave mixing we experimentally observe ''negative'' time delay response, fast decay rates at short delay times, and broad shoulders at long delays. The observations are explained very well in terms of pulse propagation effects, and a theoretical framework is presented for the analysis of the nonlinear interaction. We treat both the incident and generated fields self-consistently, and solve for the interaction of short pulses with a resonantly absorbing medium. The implications for the extraction of relaxation rates from four-wave-mixing experiments involving ultrashort pulses in optically dense matter are discussed.
We show that four-wave mixing in optically dense media is very different than in an optically thin medium. In time-resolved degenerate four-wave mixing we experimentally observe negative time delay response, fast decay rates at short delay times, and broad shoulders at long delays. The observations are explained very well in terms of pulse propagation effects, and a theoretical framework is presented for the analysis of the nonlinear interaction. We treat both the incident and generated fields self-consistently, and solve for the interaction of short pulses with a resonantly absorbing medium. The implications for the extraction of relaxation rates from four-wave-mixing experiments involving ultrashort pulses in optically dense matter are discussed.
Short-pulse reshaping due to propagation leads to the formation of negative-time-delay signals in four-wave mixing (FWM) and apparent signal decay that is not given by the dephasing or the population-decay rates were shown, both experimentally and theoretically. The experiments were performed using potassium vapor in a cell. Bloch-Maxwell equations are solved to account for the propagation in the optical dense. The signature of optical density effects are quantitatively explained.
1993
We report the experimental results of two-pulse transient four-wave mixing near the first heavy-hole quantumwell exciton. Input pulses with similar polarizations (circular or linear) measure the exciton dephasing rate; opposite circular polarized pulses produce no four-wave mixing signal, while crossed linear polarized pulses generate a weaker signal with a faster dephasing rate. This signal is attributed to the biexcitonic transition, which was directly observed in a separate nondegenerate four-wave mixing experiment. The selection rules for these transitions are discussed and confirm the treatment of the excitonic transition as a three-level system.
An experimental observation of field-induced resonances in four-wave mixing is reported. In experiments on Na vapor near the D lines, when the input fields are strong, new resonances appear, confirming recent theoretical predictions based on a nonperturbative approach to wave-mixing processes. The analogy to and differences from the pressure-induced extra resonances are discussed.
1991
1990
Highly excited rotational states in electronically excited bromine molecules are measured with full hyperfine resolution, by means of sub-Doppler polarization spectroscopy. The dependence of molecular parameters such as predissociation rates and hyperfine coupling constants on the rotational quantum number is extracted, and found to be proportional to the rotational energy J(J + 1), extending previous data to much higher rotational states. By fitting a large set of hyperfine resolved rotational spectra from one vibrational band to a single set of parameters, very small dependencies may be extracted. The predissociation rates measured here in the frequency domain are compared to previous measurements in the time domain, and found to be smaller by more than an order of magnitude. We show that extracting decay times from lines of unresolved hyperfine structure may be misleading, and attribute this discrepancy to dephasing due to interferences between hyperfine components.
In the recently developed generalized jump model (GJM) for laser phase fluctuations, the amplitude is constant and the phase is assumed to jump where the size of the pump is correlated to the previous jump. The model is essentially described by three parameters: the characteristic phase jump size B, the correlation parameter γ, and the weighted average of time intervals between the jumps τav. The GJM has been applied to the resonance fluorescence (ResFl) of a two-level system for the case of highly anticorrelated phase jumps (γ ≈ -1). For fully anticorrelated jumps (γ = -1) the generalized telegraph model (GTM) is an extension of the phase telegraph model (PTM) to the case of a continuous distribution of the phase jumps. Here, the field spectrum consists of a δ-function and a broad component. The ResFl spectrum was derived analytically and verified by independent computer simulations. The field was assumed to be strong enough to produce a symmetric spectrum with three well-resolved components. The line shapes are Lorentzian for small phase jumps or low intensities of the field in the PTM case and consist of two Lorentzian components otherwise, broadening with the increase in the intensity. In the general case the spectrum depends on a number of parameters.
A non-Markovian model of correlated phase jumps is introduced for phase fluctuations of an electromagnetic field. This generalized jump model (GJM) treats phase jumps of arbitrary size, occurring at random times; but in contrast to previous work, the jumps are allowed to be fully correlated, partially correlated, or uncorrelated. The degree of correlation is defined by a single parameter derived from the theory. The familiar phase-diffusion model, telegraph-noise model, Burshtein model, and Brownian-motion-like model are all obtained from the GJM in the proper limits. The standard way of characterizing the spectrum of a laser has been the assignment of a single parameter the linewidth. However, in experiments where the details of the fluctuations are important, or where exact line shapes are measured, this single-parameter characterization might be insufficient. This GJM describes most cases by a set of three stochastic parameters: the degree of correlation between the jumps, the characteristic jump size, and the mean time between jumps. In this paper expressions are derived for the correlation function and the spectrum of a stochastic field in terms of these three stochastic parameters. In addition to analytical work, detailed numerical simulations are presented for the various limiting cases of the model, and the agreement between theory and simulation is excellent. Since the stochastic parameters are not a priori known, a procedure is described for extracting the stochastic parameters from measurable quantities such as the field correlation function or spectrum. Since correlated fluctuations are very common in optics (any stabilization feedback procedure involves anticorrelation), the questions of relevance of the present model to problems of current interest in optical communication and nonlinear optics are also discussed.
Strong laser fields, when tuned on resonance to an atomic (molecular) transition, give rise to the well-known triplet of resonance fluorescence. The laser field is normally assumed to be strong and monochromatic, even though the spectrum of real lasers is never a function. A standard way to treat laser fluctuations has been to assume a well-defined nominal frequency and a randomly fluctuating phase. Recently we introduced the generalized jump model (GJM) for correlated phase fluctuations, where correlated phase jumps are considered, leading to Markovian as well as non-Markovian stochastic behavior. In the GJM, each phase jump may be correlated to the previous jump, and the degree of correlation, the typical jump size, and the mean time between jumps are the three parameters defining the stochastic character of the laser field. In this paper we apply the GJM model to the case of resonance fluorescence from an atom excited by a stochastic field. The standard Mollow triplet is obtained in the monochromatic limit of small jumps, and several new predictions are made in the different limits of the stochastic parameters. In the small-jump limit, a new field effect is predicted. The spectral line shape and the triplet separation deviate from the Mollow predictions for a monochromatic field in a substantial way, giving rise to observable differences. In the highly correlated small-jump limit, which is approximated by the Kubo oscillator model, the previous results are corrected to include nonzero line shifts and extended to the case of non-Lorentzian line shapes. In all regions, even input fields of the same line shape (which would be considered identical in the one-parameter linewidth description) give rise to very different output spectra, justifying the more complete stochastic description. Effective relaxation constants 1* and 2* that simplify the description of the spectrum are calculated in all appropriate cases, and 1* is found to equal the input laser linewidth. In addition to predicting the resonance fluorescence spectra, the present analysis provides a way to extract the stochastic parameters from the nonlinear measurement in those cases where the linear characterization of the input field cannot do it. The analytic work is fully supported by extensive numerical simulations.
1989
The effects of an external electric field on the luminescence and absorbtion properties of asymmetric coupled quantum wells (ACQW) structures consisting of two quantum wells of different width and depth are investigated. Experimental results are presented for two GaAs/AlGaAs coupled well systems, demonstrating the large shift and the sharp turnoff of the wavefunction overlap. We have observed the transition from type I (spatially direct) to type II (spatially indirect) in GaAs/AlGaAs ACQW. The transition is manifested as a strong electric field-induced quenching of the photoluminescence which correlates well with the results of a single particle calculation of the electron-hole overlap. By properly designing the coupled well structure, photoluminescence quenching (90% - 10%) is observed for a change in bias field of only 5 kV/cm. Owing to the large level repulsion, a Stark shift of 5 meV is observed when the bias field is switched by only 18 kV/cm.
1988
We have observed the transition from type I (spatially direct) to type II (spatially indirect) in GaAs/AlGaAs asymmetric coupled quantum well structures at 10 K. The transition is manifested as a strong electric field induced quenching of the photoluminescence which correlates well with the results of a single particle calculation of the electron-hole overlap. By properly designing the coupled well structure, photoluminescence quenching (90%-10%) is observed for a change in bias field of only 5 kV/cm. Observations of the absorption spectrum clearly demonstrate that the type I-type II transition occurs by an electronic level anticrossing. Owing to the large level repulsion, a Stark shift of 5 meV is observed when the bias field is switched by only 18 kV/cm.
A unified approach is presented for the treatment of stochastic fluctuations in four-wave-mixing processes, including uncorrelated and fully or partially cross-correlated input laser fields. The theory allows for phase as well as amplitude fluctuations and covers Markovian and non-Markovian (non-Lorentzian) input line shapes. The analogy between laser field fluctuations and molecular dephasing processes is discussed, and several types of fluctuation-induced resonances are considered. Uncorrelated input fields give rise to resonances similar to those described previously by Agarwal, while correlated input fields cause extra resonances of the type presented by us in earlier publications. Partial cross-correlations are treated here for the first time, with predictions for new effects: Oscillations in the intensity of the generated four-wave-mixing signal as a function of the degree of cross-correlation. The conditions for the experimental observation of these effects are discussed.
1987
A nonperturbative semiclassical theory is presented for the treatment of four-wave mixing (FWM) in a four-level system. This treatment is based on a transformation to a generalized rotating frame followed by a numerical diagonalization of the resulting time-independent Hamiltonian. For strong fields, all resonant frequencies are shifted from the atomic (molecular) frequencies. Lines are split up in a way similar to the ac Stark effect for a two-level system, and for even stronger fields, the effect of stirring is observed for the first time in four-wave mixing. In addition, a new extra resonance appears which is induced by the saturating field. This field-induced resonance is the new member in the family of extra resonances (pressure induced, or stochastic fluctuation induced), and it should be observed whenever saturating fields interact with a multilevel atomic or molecular system.
1986
A unified theory of coherent and incoherent resonance scattering of radiation in gases is presented. Expressions for the scattering rates in collisional redistribution and four-wave mixing (FWM) are obtained, starting from a microscopic formulation based on the Liouvillevon Neumann equation. The derivation reemphasizes the point that coherent scattering depends on a product of scattering amplitudes at two separate points in the gas. The theory is extended to the nonimpact domain in which frequency detunings exceed the inverse duration of a single collision, taking into account intracollisional effects. Expressions are given in the so-called quasistatic limit (of semiclassical Franck-Condon transitions) for situations in which one or more radiative transitions occur during the collision. An extension of double-sided diagrams to collision-induced processes is introduced, and is used to illustrate the various phenomena described. Applications are suggested to the study of molecular dynamics, making use of the spectral features of FWM outside the impact domain. Investigations of long-range correlation effects, involving laser fluctuations, or cooperative excitations in dense fluids (utilizing the two-point nature of FWM), are also discussed.
1985
Argon-ion-laser photoetching was performed at various wavelengths, around the absorption edge of ZnSe and CdS. The surface etch pit density is observed to decrease with increasing penetration depth of the light. This observation is explained in terms of the recent theory of non-uniform charge flow within semiconductor junctions.
The effect of stochastic laser phase fluctuations on nonlinear optical phenomena are investigated within the phase-diffusion model. Averaged equations of motion are derived in the limit of infinitely short correlation times and the results are applied to multiphoton absorption and to four-wave mixing. The effect of the stochastic phase fluctuations is shown to be equivalent to a T2 dephasing process, and a procedure is described for the inclusion of this equivalence in many nonlinear-optical problems. When a given mode contributes n photons to a multiphoton absorption process, its contribution to the width of the multiphoton transition is n2 times its own stochastic width. When correlated lasers are used as the excitation sources in four-wave-mixing experiments, (new) stochastic-fluctuation-induced extra resonances in four-wave mixing (SFIER4) will be observed, in complete analogy to the extra resonances induced by collisions [pressure-induced extra resonances in form-wave mixing (PIER4)].
1984
The complete expression, including all 48 terms, for the third-order nonlinear susceptibility x(3) is written down explicitly. The diagrammatic and perturbative approaches to its derivation are matched and compared. The use of non time-ordered (one-sided) diagrams is discussed and shown to give incomplete results.
Coherent anti-Stokes Raman scattering (CARS) is a useful tool in combustion diagnostics. In such experiments, the measured spectrum is compared to the predicted one and information is obtained about species temperature and concentration. We examine conditions for the validity of approximate expressions for the nonlinear susceptibility x(3) and indicate the importance of using the full expression in the general case, especially near one photon resonance, or under conditions of high pressure.
The problem of coherent four-wave mixing is treated quantum theoretically in the dressed-atom picture using a set of "angular-momentum-like" operators. The phases of the radiation fields are considered by including a space-dependent phase factor in the raising (lowering) field operators. All possible transition pathways are considered, and their contributions to the total transition probability are added coherently. It is shown that interferences between the different pathways play an essential role and that the phases of the radiation fields should be properly handled. The result of this calculation is a directional, time-dependent transition probability that automatically expresses the phase-matching requirements of a coherent four-wave mixing process.
1983
The observation of a new type of saturation effects in degenerate four-wave mixing in Na vapor is reported. The experimental configuration is neither counterpropagating nor velocity selective, and yet sub-Doppler high-resolution lines are observed at the atomic-transition frequencies, and at the weighted center of a Doppler-broadened distribution. These new features are the result of an interplay between absorption and saturation, and the inhomogeneous broadening is essential for their existence.
1982
Keywords: Physics, Applied
1980
1979
Two-photon absorption (TPA) cross sections of benzene and of three alkali-halide crystals (KI, KBr, RbBr) are reported for a total excitation energy of 6.7 eV. A calibration technique is used whereby the TPA coefficient at the sum frequency P+L of two interacting laser beams at P and L is compared to the known stimulated Raman gain at the difference frequency L-P in the same material, or in other materials. The results, obtained with nsec pulses, are compared to cross sections measured by a psec laser system. A proposal is made for the extension of the present experimental setup, resulting in a significant enhancement is sensitivity and the possible utilization of low-power cw lasers for these measurements.