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A control algorithm applied to polarization states of light in the nonlinear optical resonator

Wierzbicki M.

Control and Cybernetics

2002

Vol. 31, no 1

129-139

In this paper a control algorithm is presented for a nonlinear system defined by a nonlinear mapping F : R^n -> R^n of input states to output states of the system, for the problem of motion in the R^n space of output states along the given trajectory. The application of this algorithm in nonlinear optics is presented, for the control of light polarization transmitted through the Fabry-Perot resonator filled with a material with nonlinear optical properties. The calculated trajectory in the space of polarization states of output light leads to the phenomenon of optical bistability, i.e. sudden changes of output polarization induced by small variations of the input parameters, and the dependence of the current state of light polarization on the history of the system.