Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Coupling efficiency of optical fields in spherical particles during SLS processes

Аlexander А. Zemlyanov, Yu. É. Geints, E. K. Panina

Published Dec 29, 2000• 0 citations
Publisher

Abstract

The paper is devoted to the problem of derivation of optimum conditions for the development of stimulated light scattering (SLS) processes in spherical micron-sized particles. The equation for threshold pumping intensity in the case of realization in a particle the conditions of a double SLS resonance for incident and scattered waves was obtained. The coefficient of spatial field overlapping Bc((omega) L, (omega) S) was introduced. The coefficient Bc((omega) L, (omega) S) is shown to be approximately one order of magnitude higher when the mode order of input and output resonances are equal, then when they are different. The main factor determining the value of Bc((omega) L, (omega) S) is the FWHM of excited modes.

DOI
10.1117/12.411942

Related papers

Multimode excitation of stimulated light scattering in spherical particles: the angular characteristics of scattered radiation

Аlexander А. Zemlyanov, Yu. É. Geints, E. K. Chistyakova

We analyze here the influence of multi-mode excitation of stimulated light scattering (SLS) in the spherical particle on the angular intensity distribution in the far-field zone. It is shown that at multi-mode excitation of SLS the scattering diagram becomes asymmetric, unlike the case, when process is realized on single resonant mode of a particle. Degree of its asymmetry significantly depends on combinations of modes excited in the particle that brings either to a significant increase of the intensity of backscattered wave, or to its weakening in the given direction. The comparison with angular intensity distribution at elastic scattering is made.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Nov 19, 1999•0 citations

Reproduction of spatial and temporal structures of exciting radiation by parallel stimulated scattering under saturation conditions

Кочемасов Геннадий Григорьевич, Valeri D. Nikolaev

Equations are derived for the coefficients of the correlations describing the spatial and temporal characteristics of the Stokes radiation under parallel scattering conditions. A solution of these equations shows that the reproduction coefficient h rises and reaches a maximum when the quantum efficiency of the Stokes component is 0.5 and this is followed by a fall of h. The maximum value of h depends on the intensity and reproduction coefficient of the input signal and may differ considerably from the value predicted by the theory postulating a constant field.

Soviet Journal of Quantum Electronics•Oct 31, 1980•0 citations

Nonlinear optical amplification and oscillation in spherical microdroplets

Gershon Kurizki, E. Goldner

Nonlinear optical processes in spherical microdroplets whose studies have been pioneered by Chang and co-workers are intriguing from the point of view of applications because of the extremely low thresholds they exhibit for the generation of stimulated output, but also from the theoretical point of view, because they require a synthesis between the methods of nonlinear optics and Mie scattering theory. The basis for such a synthesis has been given in the semiclassical theory of Kurizki and Nitzan, which implies that the nonlinearly amplified component of the scattered field is spatially orthogonal ('out of phase') with the linearly scattered field component (the ordinary Mie solution). This approach allows the calculation of amplification coefficients in various nonlinear processes, as a function of the Mie resonant denominators and spatial overlap of the input and output spherical waves. Recently, this approach has been extended to quantized solutions for parametric amplification and oscillation via four-wave mixing in microdroplets. The very low thresholds for oscillation at Mie resonances are predicted to correspond to strong squeezing, i.e., suppression of the photocurrent noise associated with the detection of the output waves below the noise level associated with an ideal laser. Even well below threshold, the spatially orthogonal output waves allow for strong squeezing at periodically recurring distances from the droplet.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Sep 1, 1991•0 citations

Influence of the width of a spectral line on the excitation of stimulated scattering in resonators

B. A. Akanaev, Igor' M Bel'dyugin, Vjacheslav B. Gerasimov

An analysis is made of the influence of the width of the pump line on the stimulated scattering in Fabry–Perot and ring resonators which are tuned both to the pump frequency and to the frequency of the Stokes component. It is shown that the excitation threshold of the stimulated scattering in dispersion-free media is independent of the width of the pump line, because of the parametric interaction between the modes, whereas in media with a considerable dispersion the threshold is Δω p /Δω sp greater than the stimulated emission threshold under monochromatic pumping conditions (the subscripts "p" and "sp" refer to the pump wave and to the spontaneous Raman scattering). Analytic expressions are given for the amplitudes of the pump and Stokes fields at the excitation threshold and under steady-state conditions.

Soviet Journal of Quantum Electronics•Jan 31, 1974•2 citations

Stimulated Raman scattering of light beams under saturation conditions

Alexander A. Betin, Guerman A. Pasmanik, L. V. Piskunova

A numerical solution is given of a system of coupled quasioptic equations describing the nonlinear interaction between exciting and stimulated-Raman-scattered waves. The boundary conditions are found by solving the problem in the approximation of fixed parameters of the exciting (pump) beam. It is shown that when the threshold for the parallel stimulated scattering is exceeded, the diffraction effects limit the rise of the intensity of the radiation transmitted by a nonlinear medium when the pump power is increased.

Soviet Journal of Quantum Electronics•Nov 30, 1975•7 citations

Processes of stimulated emission and two-photon induced fluorescence of organic dye in the dielectric microcavities at ultrashort laser pulses influence

Elena E. Bykova, Аlexander А. Zemlyanov, Yu. É. Geints

The problem about two-photon induced fluorescence of organic dye active molecules located in spherical transparent microparticles at the ultrashort laser pulses influence was theoretically investigated. The system of kinetic equations for laser generation was written taking into account stimulation transitions. Generation regimes of stimulated radiation were found. Resonator properties of spherical microparticles were theoretically investigated using the method of expanding optical fields into series of eigenfunctions. The breakdown of the beginning of stimulated radiation in the microparticle was determined. It was shown that stimulated radiation intensity depends on degree of its spatial overlap with all other modes of the pump radiation. The interpretation of experimental data of two-photon induced fluorescence in the particles with organic dye was carried out.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Nov 30, 2006•0 citations
The paper is devoted to the problem of derivation of optimum conditions for the development of stimulated light scattering (SLS) processes in spherical micron-sized particles. The equation for threshold pumping intensity in the case of realization in a particle the conditions of a double SLS resonance for incident and scattered waves was obtained. The coefficient of spatial field overlapping Bc((omega) L, (omega) S) was introduced. The coefficient Bc((omega) L, (omega) S) is shown to be approximately one order of magnitude higher when the mode order of input and output resonances are equal, then when they are different. The main factor determining the value of Bc((omega) L, (omega) S) is the FWHM of excited modes.
We analyze here the influence of multi-mode excitation of stimulated light scattering (SLS) in the spherical particle on the angular intensity distribution in the far-field zone. It is shown that at multi-mode excitation of SLS the scattering diagram becomes asymmetric, unlike the case, when process is realized on single resonant mode of a particle. Degree of its asymmetry significantly depends on combinations of modes excited in the particle that brings either to a significant increase of the intensity of backscattered wave, or to its weakening in the given direction. The comparison with angular intensity distribution at elastic scattering is made.
Equations are derived for the coefficients of the correlations describing the spatial and temporal characteristics of the Stokes radiation under parallel scattering conditions. A solution of these equations shows that the reproduction coefficient h rises and reaches a maximum when the quantum efficiency of the Stokes component is 0.5 and this is followed by a fall of h. The maximum value of h depends on the intensity and reproduction coefficient of the input signal and may differ considerably from the value predicted by the theory postulating a constant field.
Nonlinear optical processes in spherical microdroplets whose studies have been pioneered by Chang and co-workers are intriguing from the point of view of applications because of the extremely low thresholds they exhibit for the generation of stimulated output, but also from the theoretical point of view, because they require a synthesis between the methods of nonlinear optics and Mie scattering theory. The basis for such a synthesis has been given in the semiclassical theory of Kurizki and Nitzan, which implies that the nonlinearly amplified component of the scattered field is spatially orthogonal ('out of phase') with the linearly scattered field component (the ordinary Mie solution). This approach allows the calculation of amplification coefficients in various nonlinear processes, as a function of the Mie resonant denominators and spatial overlap of the input and output spherical waves. Recently, this approach has been extended to quantized solutions for parametric amplification and oscillation via four-wave mixing in microdroplets. The very low thresholds for oscillation at Mie resonances are predicted to correspond to strong squeezing, i.e., suppression of the photocurrent noise associated with the detection of the output waves below the noise level associated with an ideal laser. Even well below threshold, the spatially orthogonal output waves allow for strong squeezing at periodically recurring distances from the droplet.
An analysis is made of the influence of the width of the pump line on the stimulated scattering in Fabry–Perot and ring resonators which are tuned both to the pump frequency and to the frequency of the Stokes component. It is shown that the excitation threshold of the stimulated scattering in dispersion-free media is independent of the width of the pump line, because of the parametric interaction between the modes, whereas in media with a considerable dispersion the threshold is Δω p /Δω sp greater than the stimulated emission threshold under monochromatic pumping conditions (the subscripts "p" and "sp" refer to the pump wave and to the spontaneous Raman scattering). Analytic expressions are given for the amplitudes of the pump and Stokes fields at the excitation threshold and under steady-state conditions.
A numerical solution is given of a system of coupled quasioptic equations describing the nonlinear interaction between exciting and stimulated-Raman-scattered waves. The boundary conditions are found by solving the problem in the approximation of fixed parameters of the exciting (pump) beam. It is shown that when the threshold for the parallel stimulated scattering is exceeded, the diffraction effects limit the rise of the intensity of the radiation transmitted by a nonlinear medium when the pump power is increased.
The problem about two-photon induced fluorescence of organic dye active molecules located in spherical transparent microparticles at the ultrashort laser pulses influence was theoretically investigated. The system of kinetic equations for laser generation was written taking into account stimulation transitions. Generation regimes of stimulated radiation were found. Resonator properties of spherical microparticles were theoretically investigated using the method of expanding optical fields into series of eigenfunctions. The breakdown of the beginning of stimulated radiation in the microparticle was determined. It was shown that stimulated radiation intensity depends on degree of its spatial overlap with all other modes of the pump radiation. The interpretation of experimental data of two-photon induced fluorescence in the particles with organic dye was carried out.