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Soviet Journal of Quantum Electronics

Spontaneous oscillations and multistability in a polarization reflector

Andrey Aleksandrovich Golubkov, Vladimir Makarov

Published Oct 31, 1991• 0 citations
Publisher

Abstract

An investigation of the stability of stationary field states in the presence of planar arbitrarily oriented polarization perturbations is used to demonstrate that a two-pass optical system with a nonlinear isotropic medium and a rotatable mirror can exhibit polarization bistability and multistability, and also processes close to spontaneous oscillations.

DOI
10.1070/qe1991v021n10abeh004305

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Soviet Journal of Quantum Electronics•Jun 30, 1984•0 citations
An investigation of the stability of stationary field states in the presence of planar arbitrarily oriented polarization perturbations is used to demonstrate that a two-pass optical system with a nonlinear isotropic medium and a rotatable mirror can exhibit polarization bistability and multistability, and also processes close to spontaneous oscillations.
To merge the fields of polarization and nonlinear optics opens wide perspectives. The present work aims at investigating some of them. It is shown, on one hand, that if a nonlinear Fabry- Perot resonator filled with an optically isotropic material is addressed by an obliquely incident beam, the transmitted irradiance can switch from an up to a down state (or the reverse) if its polarization is properly modulated. If on the other hand the nonlinear cavity is filled with a linearly birefringent material, polarization optical bistability can occur, even at normal incidence. This polarization bistability can arise both by modulating the incident irradiance and by modulating the incident polarization. Optical bistability of the transmitted irradiance can also be induced by the modulation of the polarization of the incident beam. All these features provide new tools for parallel digital optical information processing.
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.
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.