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

Soviet Journal of Quantum Electronics

Polarization multistability in a ring resonator with a nonlinear optically active medium

Vladimir Makarov, A. V. Matveeva

Published Jan 31, 1987• 5 citations
Publisher

Abstract

An analysis is made of the propagation of a plane electromagnetic wave through a ring resonator containing a cell with a nonlinear optically active liquid. The influence of the spatial dispersion of the cubic nonlinearity on the amplitude and polarization characteristics of the output radiation is investigated in the steady-state regime. The transient problem is solved numerically in the instability region. It is shown that random changes in the intensity, ellipticity, and angle of rotation of the polarization ellipse of the output radiation are possible for certain values of the intensity of linearly polarized pump radiation, resonator parameters, and properties of the medium.

DOI
10.1070/qe1987v017n01abeh006412

Related papers

Range of existence of optical multistability in a resonator with an optically active medium

M. I. Dykman, Vladimir Makarov, A. V. Matveeva

Optical bistability in resonators containing a nonlinear gyrotropic isotropic medium is analyzed by studying the dependence of the bifurcation intensity of the incident radiation on its ellipticity. It is found that if the gyrotropy is weak, this dependence may have symmetry-induced singular points or turning points. The stable radiation states in the resonator formed near a singular or turning point differ in respect of the polarization and are due to the evolution of the polarization instability. Bifurcation curves are plotted for a ring resonator containing a medium with a cubic nonlinearity. The form of these curves changes appreciably as the gyrotropy is increased. The change in the resonator transmission accompanying changes in the gyrotropy is studied.

Soviet Journal of Quantum Electronics•Jul 31, 1989•0 citations

Periodic and chaotic variations of the intensity and polarization of light at the exit from a ring resonator filled with a nonlinear gyrotropic medium

Vladimir Makarov, A. V. Matveeva

An analysis is made of the amplitude and polarization effects which accompany the propagation of laser radiation in a ring resonator filled with a nonlinear gyrotropic medium. The ranges of the parameters of the radiation, resonator, and medium are found for which there are periodic and chaotic changes in the intensity, degree of ellipticity, and angle of rotation of the polarization ellipse of the output radiation. Analytic expressions are obtained for the frequency of changes in the output characteristics.

Soviet Journal of Quantum Electronics•Jan 31, 1988•3 citations

Optical polarization multistability

G. G. Adonts, G. P. Dzhotyan, Eghine G. Kanetsyan

A theoretical investigation is made of the polarization characteristics of the optical polarization and amplitude multistability of a Fabry?Perot interferometer filled with a nonlinear resonant medium. In the case of linear polarization of the incident radiation it is shown that an amplitude hysteresis differs considerably from a hysteresis predicted by a scalar theory; moreover, the degree of polarization exhibits a hysteresis. A calculation is made of the critical input intensity of elliptically polarized radiation for which the ellipticity at the output rises strongly even when it is negligible at the input.

Soviet Journal of Quantum Electronics•Jun 30, 1984•0 citations

Instability of a ring resonator with a nonlinear gyrotropic medium in the presence of spatially inhomogeneous arbitrarily polarized perturbations

O G Lobanova, Vladimir Makarov, Elena B. Cherepetskaya

A theoretical derivation is given of the condition of stability of steady states of the field in a ring resonator with an isotropic nonlinear gyrotropic medium in the presence of an arbitrarily polarized perturbation of a given size. It is shown that it is possible to find the parameters of the polarization of light exciting the resonator which ensure the maximum number of stable steady states of the field in the required range of the intensities of the transmitted radiation.

Soviet Journal of Quantum Electronics•Nov 30, 1990•0 citations

Modification of radiation polarisation due to propagation in a resonant medium

G. G. Adonts, D G Akopyan, K V Arutunyan

The optical-pumping theory of the passage of polarised radiation through a resonant medium was developed in the irreducible tensorial formalism. Transitions with arbitrary momenta J 1.2 are considered in the cubic approximation. For transitions with small values of momenta (J 1 =1 to J 2 =0; J 1 = 1 / 2 to J 2 = 1 / 2 ) the vector form of the equation system in density-matrix notation allows the problem to be solved exactly for light intensity. In the general case of an elliptically polarised wave, the equation systems for the interaction between circular components of polarisation of light in a resonant medium are obtained. Numerical calculations for deformation and rotation of the polarisation ellipse in a medium subject to saturation effects are also carried out. Irrespective of the initial state the polarisation tends either to a linear or to a circular form as it propagates, depending on times of collisional relaxation of orientation and alignment. The polarisation of linearly and circularly polarised waves does not change as the waves propagate, but the values of the saturation power for these polarisations differ considerably.

Journal of Physics B Atomic and Molecular Physics•Dec 28, 1986•9 citations

Steady-state and pulse behavior of light transmitted through dispersive nonlinear media in a ring cavity

Joseph W. Haus, C. M. Bowden, Chi C. Sung

We study the propagation of electromagnetic radiation through a ring-cavity device containing a dispersive nonlinear medium. Under conditions appropriate for introducing the slowly varying envelope approximation and for adiabatically eliminating the atomic variables, we calculate analytical expressions between the steady-state-output intensity and the input-field amplitude for two models of the nonlinear susceptibility, the two-level atomic medium and the Kerr medium. The stability of these curves is determined, with special attention given to changes in the thresholds by varying the return-trip phase shift, the linear absorption, and the reflection coefficients of the mirrors. We investigate the positive-branch instabilities resulting in a pulsing output intensity and calculate the bifurcation rate for the period-doubling hierarchy and the fractal dimension of our two-dimensional maps for the Kerr medium. The convergence of the bifurcation rate to a constant is slow, and we find, as in the publications of Snapp et al. [ Opt. Commun.40, 68 ( 1981)] and Carmichael et al. [ Phys. Rev. A26, 3408 ( 1982)], that this constant is consistent with that found for the class of one-dimensional maps with a quadratic maximum. This universal constant is observed over a large range of fractal dimensions for the chaotic attractor. Discussions of pulse-output bistability, intermittency, and anomalous switching are given.

Journal of the Optical Society of America B•Oct 1, 1984•4 citations
An analysis is made of the propagation of a plane electromagnetic wave through a ring resonator containing a cell with a nonlinear optically active liquid. The influence of the spatial dispersion of the cubic nonlinearity on the amplitude and polarization characteristics of the output radiation is investigated in the steady-state regime. The transient problem is solved numerically in the instability region. It is shown that random changes in the intensity, ellipticity, and angle of rotation of the polarization ellipse of the output radiation are possible for certain values of the intensity of linearly polarized pump radiation, resonator parameters, and properties of the medium.
Optical bistability in resonators containing a nonlinear gyrotropic isotropic medium is analyzed by studying the dependence of the bifurcation intensity of the incident radiation on its ellipticity. It is found that if the gyrotropy is weak, this dependence may have symmetry-induced singular points or turning points. The stable radiation states in the resonator formed near a singular or turning point differ in respect of the polarization and are due to the evolution of the polarization instability. Bifurcation curves are plotted for a ring resonator containing a medium with a cubic nonlinearity. The form of these curves changes appreciably as the gyrotropy is increased. The change in the resonator transmission accompanying changes in the gyrotropy is studied.
An analysis is made of the amplitude and polarization effects which accompany the propagation of laser radiation in a ring resonator filled with a nonlinear gyrotropic medium. The ranges of the parameters of the radiation, resonator, and medium are found for which there are periodic and chaotic changes in the intensity, degree of ellipticity, and angle of rotation of the polarization ellipse of the output radiation. Analytic expressions are obtained for the frequency of changes in the output characteristics.
A theoretical investigation is made of the polarization characteristics of the optical polarization and amplitude multistability of a Fabry?Perot interferometer filled with a nonlinear resonant medium. In the case of linear polarization of the incident radiation it is shown that an amplitude hysteresis differs considerably from a hysteresis predicted by a scalar theory; moreover, the degree of polarization exhibits a hysteresis. A calculation is made of the critical input intensity of elliptically polarized radiation for which the ellipticity at the output rises strongly even when it is negligible at the input.
The optical-pumping theory of the passage of polarised radiation through a resonant medium was developed in the irreducible tensorial formalism. Transitions with arbitrary momenta J 1.2 are considered in the cubic approximation. For transitions with small values of momenta (J 1 =1 to J 2 =0; J 1 = 1 / 2 to J 2 = 1 / 2 ) the vector form of the equation system in density-matrix notation allows the problem to be solved exactly for light intensity. In the general case of an elliptically polarised wave, the equation systems for the interaction between circular components of polarisation of light in a resonant medium are obtained. Numerical calculations for deformation and rotation of the polarisation ellipse in a medium subject to saturation effects are also carried out. Irrespective of the initial state the polarisation tends either to a linear or to a circular form as it propagates, depending on times of collisional relaxation of orientation and alignment. The polarisation of linearly and circularly polarised waves does not change as the waves propagate, but the values of the saturation power for these polarisations differ considerably.
We study the propagation of electromagnetic radiation through a ring-cavity device containing a dispersive nonlinear medium. Under conditions appropriate for introducing the slowly varying envelope approximation and for adiabatically eliminating the atomic variables, we calculate analytical expressions between the steady-state-output intensity and the input-field amplitude for two models of the nonlinear susceptibility, the two-level atomic medium and the Kerr medium. The stability of these curves is determined, with special attention given to changes in the thresholds by varying the return-trip phase shift, the linear absorption, and the reflection coefficients of the mirrors. We investigate the positive-branch instabilities resulting in a pulsing output intensity and calculate the bifurcation rate for the period-doubling hierarchy and the fractal dimension of our two-dimensional maps for the Kerr medium. The convergence of the bifurcation rate to a constant is slow, and we find, as in the publications of Snapp et al. [ Opt. Commun.40, 68 ( 1981)] and Carmichael et al. [ Phys. Rev. A26, 3408 ( 1982)], that this constant is consistent with that found for the class of one-dimensional maps with a quadratic maximum. This universal constant is observed over a large range of fractal dimensions for the chaotic attractor. Discussions of pulse-output bistability, intermittency, and anomalous switching are given.