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

Optics and Spectroscopy

Two-mode lasing on morphological resonances of different orders in a spherical microparticle

Halina P. Ledneva, Liudmila G. Astafyeva

Published Mar 1, 2006• 3 citations
Publisher

Abstract

It is found that, below the first lasing threshold in a spherical microparticle, two steady-state two-mode lasing regimes can occur on morphological resonances of different orders. The bistability region depends on the degree of the spatial overlap of the electromagnetic fields of the resonances and on the absorption of the microparticle material.

DOI
10.1134/s0030400x0603026x

Related papers

Optical bistability in the scattering and absorption of light from nonlinear microparticles

K. M. Leung

Intrinsic optical bistability in the scattering and absorption of light from Rayleigh-particle-sized microparticles having an intensity-dependent refractive index is theoretically investigated. For particles near plasmon resonances optical switching also occurs by sweeping the frequency across the resonance at fixed incident intensity above a certain threshold. Several orders of magnitudes of reduction in the switching intensities are possible near sharp resonances, and an optical transistor mode with a very sizable differential gain can be achieved.

Physical Review A•Apr 1, 1986•101 citations

Optical bistable interaction of laser radiation with micro-particles

K. M. Leung

Intrinsic optical bistability in the scattering and absorption of laser radiation from microparticles having an intensity-dependent refractive index is investigated.1 We work only with particles whose radius is small compared with the wavelength of the incident radiation. Our calculation is based on the assumption that the electric field inside the particle is in fact uniform (as is the case in the linear regime). For particles with fairly sharp surface piasmon resonances, optical bistability can occur if the frequency detuning is above a certain critical value. The threshold intensity is found to be reduced by several orders of magnitude compared with the non-resonant case. Optical switching can also occur at fixed intensity above the threshold by sweeping the frequency across the resonant frequency. Right at the critical detuning frequency, the particle can act as an optical transistor with a very sizable differential gain. Spherical1 as well as elongated microparticles2 are studied. In the latter case, optical tristability can also be achieved, and there are, in addition, interesting shape dependence and orientational effects.

International Laser Science Conference•Jan 1, 1986•0 citations

Ultralow Raman lasing threshold and enhanced gain of whispering gallery modes in silica microspheres

Mikhail V. Jouravlev, Daniel R. Mason, Kwang S. Kim

Remarkable demonstrations of a cavity-induced giant reduction of the Raman lasing threshold in silica microspheres have been reported in Spillane et al. [Nature (London) 415, 621 (2002)], yet a complete quantum electrodynamics (QED) treatment of this process including the rigorous expressions for the electromagnetic modes of the sphere is lacking. In this paper, we employ a cavity QED approach to describe Raman lasing in microscopic spherical dielectric resonators with third-order nonlinearity to derive explicit expressions for the Raman gain and lasing threshold in terms of mode-overlapping coefficients determined from full analytic expressions of the electromagnetic eigenmodes of a dielectric sphere. We present dependencies of the Raman lasing threshold on the the order $n$ of overlapping whispering gallery modes for microspheres with diameter in the range 20--35 $\ensuremath{\mu}$m, demonstrating ultralow thresholds of between 70 and 90 $\ensuremath{\mu}$W, consistent with recent experimental results. We explain the reduction of the lasing threshold as due to an increase in the overlapping coefficients as the mode order is increased toward the regime where the modal energy is mostly confined to the surface region of the resonator. The presented theory can be easily generalized to any microcavity of regular morphology and for any combination of interacting whispering gallery modes.

Physical Review A•Jan 19, 2012•7 citations

Optical bistable interaction of laser radiation with microparticles

K. M. Leung

Intrinsic optical bistability in the scattering and absorption of light from Rayleigh‐sized microparticles having an intensity‐dependent refractive index is theoretically investigated. For particles near plasmon resonances optical switching occurs with several orders of magnitude reduction in the switching intensity. Besides acting as an optical memory element whose size is small compared with the incident wavelength, the microparticle also exhibits an optical transistor mode with a sizable differential gain.

AIP conference proceedings•Jan 1, 1987•0 citations

Optical bistability in the mixed absorptive-dispersive regime with two-state atoms

Luis A. Orozco, Albert T. Rosenberger, Harry J. Kimble

Quantitative comparisons between experiment and theory for the steady-state characteristics in optical bistability with two-state atoms are reported. Nonresonant conditions for both the cavity and the atomic medium are investigated in two different cavity geometries (ring and standing wave). The experiment fulfills to a very good degree the conditions that have been widely employed in theoretical models that consider a collection of two-state atoms interacting with a single mode of the electromagnetic field in a cavity.

Physical Review A•Oct 1, 1987•9 citations

Theory of stimulated emission processes in spherical microparticles

Gershon Kurizki, Abraham Nitzan

A semiclassical theory of stimulated processes in dielectric spherical particles is formulated. The theory applies to the small-signal regime and to isotropic (but radially nonuniform) pumping. Iterative treatment of the pumped-medium susceptibility by scattering theory demonstrates the basic features observed experimentally by Chang and co-workers [H. M. Tzeng, K. F. Wall, M. B. Long, and R. K. Chang, Opt. Lett. 9, 499 (1984); S. X. Qian and R. K. Chang, Phys. Rev. Lett. 56, 926 (1986)], namely, the drastic reduction of the threshold for lasing and multiorder stimulated Raman processes, and the frequency pulling from Mie resonances of the inactive medium.

Physical Review A•Jul 1, 1988•19 citations
It is found that, below the first lasing threshold in a spherical microparticle, two steady-state two-mode lasing regimes can occur on morphological resonances of different orders. The bistability region depends on the degree of the spatial overlap of the electromagnetic fields of the resonances and on the absorption of the microparticle material.
Intrinsic optical bistability in the scattering and absorption of light from Rayleigh-particle-sized microparticles having an intensity-dependent refractive index is theoretically investigated. For particles near plasmon resonances optical switching also occurs by sweeping the frequency across the resonance at fixed incident intensity above a certain threshold. Several orders of magnitudes of reduction in the switching intensities are possible near sharp resonances, and an optical transistor mode with a very sizable differential gain can be achieved.
Intrinsic optical bistability in the scattering and absorption of laser radiation from microparticles having an intensity-dependent refractive index is investigated.1 We work only with particles whose radius is small compared with the wavelength of the incident radiation. Our calculation is based on the assumption that the electric field inside the particle is in fact uniform (as is the case in the linear regime). For particles with fairly sharp surface piasmon resonances, optical bistability can occur if the frequency detuning is above a certain critical value. The threshold intensity is found to be reduced by several orders of magnitude compared with the non-resonant case. Optical switching can also occur at fixed intensity above the threshold by sweeping the frequency across the resonant frequency. Right at the critical detuning frequency, the particle can act as an optical transistor with a very sizable differential gain. Spherical1 as well as elongated microparticles2 are studied. In the latter case, optical tristability can also be achieved, and there are, in addition, interesting shape dependence and orientational effects.
Remarkable demonstrations of a cavity-induced giant reduction of the Raman lasing threshold in silica microspheres have been reported in Spillane et al. [Nature (London) 415, 621 (2002)], yet a complete quantum electrodynamics (QED) treatment of this process including the rigorous expressions for the electromagnetic modes of the sphere is lacking. In this paper, we employ a cavity QED approach to describe Raman lasing in microscopic spherical dielectric resonators with third-order nonlinearity to derive explicit expressions for the Raman gain and lasing threshold in terms of mode-overlapping coefficients determined from full analytic expressions of the electromagnetic eigenmodes of a dielectric sphere. We present dependencies of the Raman lasing threshold on the the order nnn of overlapping whispering gallery modes for microspheres with diameter in the range 20--35 $\ensuremath{\mu}$m, demonstrating ultralow thresholds of between 70 and 90 $\ensuremath{\mu}$W, consistent with recent experimental results. We explain the reduction of the lasing threshold as due to an increase in the overlapping coefficients as the mode order is increased toward the regime where the modal energy is mostly confined to the surface region of the resonator. The presented theory can be easily generalized to any microcavity of regular morphology and for any combination of interacting whispering gallery modes.
Intrinsic optical bistability in the scattering and absorption of light from Rayleigh‐sized microparticles having an intensity‐dependent refractive index is theoretically investigated. For particles near plasmon resonances optical switching occurs with several orders of magnitude reduction in the switching intensity. Besides acting as an optical memory element whose size is small compared with the incident wavelength, the microparticle also exhibits an optical transistor mode with a sizable differential gain.
Quantitative comparisons between experiment and theory for the steady-state characteristics in optical bistability with two-state atoms are reported. Nonresonant conditions for both the cavity and the atomic medium are investigated in two different cavity geometries (ring and standing wave). The experiment fulfills to a very good degree the conditions that have been widely employed in theoretical models that consider a collection of two-state atoms interacting with a single mode of the electromagnetic field in a cavity.
A semiclassical theory of stimulated processes in dielectric spherical particles is formulated. The theory applies to the small-signal regime and to isotropic (but radially nonuniform) pumping. Iterative treatment of the pumped-medium susceptibility by scattering theory demonstrates the basic features observed experimentally by Chang and co-workers [H. M. Tzeng, K. F. Wall, M. B. Long, and R. K. Chang, Opt. Lett. 9, 499 (1984); S. X. Qian and R. K. Chang, Phys. Rev. Lett. 56, 926 (1986)], namely, the drastic reduction of the threshold for lasing and multiorder stimulated Raman processes, and the frequency pulling from Mie resonances of the inactive medium.