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Soviet Journal of Quantum Electronics

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

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

Published Jul 31, 1989• 0 citations
Publisher

Abstract

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.

DOI
10.1070/qe1989v019n07abeh008242

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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 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.
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.
An analysis is made of a polarization optical bistability in crystals containing FA centers and placed in a resonator. The bistability is due to the possibility of amplification of fluctuations of the polarization of radiation in such crystals and in practice has no threshold in respect of the radiation intensity. An analysis is made of the ranges of values of the parameters of a doped crystal and of a resonator in which this bistability can be observed. The analysis is carried out for ring and Fabry–Perot resonators.