The nonlinear fabry-perot resonator: direct numerical integration

Document Type

Article

Publication Date

1-1-2001

Abstract

A numerical integration method is presented for the classical anharmonic-oscillator model describing the nonlinear response of a medium to an applied optical field within the single-frequency approximation for self-action effects. The formalism is applied to an analysis of the multistability of a Fabry-Perot resonator. The optical polarization P, rather than the optical E field, is retained as the dynamical variable. We develop an algorithm for integration of the nonlinear wave equation in P and with addition of the nonlinear boundary conditions at the resonator surfaces we are able to find the transmission as a function of intensity and frequency. The formalism applies specifically to materials such as ferroelectrics with strong resonances in the far-infrared spectral region. Illustrative graphs of transmission versus incident intensity throughout the resonance region are presented. (C) 2001 Elsevier Science B.V. All rights reserved.

Keywords

Nonlinear optics, Optical bistability, Fabry-perot, Kerr nonlinearity, Far infrared, Optical bistability, Cavity, Media, Film

Divisions

PHYSICS

Publication Title

Optics Communications

Volume

191

Issue

3-6

Additional Information

Department of Physics, Faculty of Science Building, University of Malaya, 50603 Kuala Lumpur, MALAYSIA

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