CHAOTIC PHENOMENON IN NONLINEAR GYROTROPIC MEDIUM

Abstract

Nonlinear gyrotropic medium is a medium whose natural optical activity depends on the intensity of the incident light wave. The Kuhn's model is used to study nonlinear gyrotropic medium with great success. The Kuhn's model presents itself as a model of nonlinear coupled oscillators. In the study of the Kuhn's nonlinear model, classical dynamics in the case of weak as well as strong nonlinearity is analysed. In the case of weak nonlinearity, analytical solutions which are in good agreement with the numerical solutions are obtained. In the case of strong nonlinearity, the values of those parameters for which chaos is formed in the system under study have been determined. The subject of interest is also the question of the Kuhn's model integrability. It is seen that at certain values of the interaction potential, this model is exactly integrable and under certain conditions, it is reduced to the so-called universal Hamiltonian. In the case of quantum-mechanical consideration, the possibility of stochastic absorption of external field energy by nonlinear gyrotropic medium is shown. Finally, further generalization of the Kuhn's model for an infinite chain of interacting oscillators is offered.