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Soviet Journal of Quantum Electronics

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

Published Nov 30, 1990• 0 citations
Publisher

Abstract

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.

DOI
10.1070/qe1990v020n11abeh007530

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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.
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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.
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The steady-state polarizations of fields counterpropagating in nonlinear Kerr media can exhibit complicated behavior.1 We examine the temporal behavior for the case of an isotropic nonlinear Kerr medium and show that the polarizations are temporally unstable above a certain threshold intensity, even when the input polarizations are linear and parallel to each other. This polarization configuration is known to be spatially stable and is often chosen for the two strong pump waves in phase conjugation by degenerate four-wave mixing. We find that the threshold intensity for the polarization instability is approximately the intensity at which the phase conjugate reflectivity is equal to unity. Depending on the ratio of the two input intensities, this instability just above threshold can manifest itself as an abrupt rotation of the output polarizations to a new steady-state value or as a periodic oscillation of the output polarizations. At higher intensities the polarization can evolve chaotically in time, and depending on the ratio of the transit time through the medium to the response time of the medium the output intensity can fluctuate chaotically as well.