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Journal of the Optical Society of America B

Dispersive optical bistability: numerical methods and definitive results

Denis L. Weaire, J. P. Kermode

Published Dec 1, 1986• 27 citations
Publisher

Abstract

A finite-difference method has been applied to the study of optical bistability. Comparison with independent calculations by Hankel-transform methods has firmly established the accuracy of some of the results of both methods. A description of the finite-difference method is given, together with an analysis of the factors that determine its efficiency. New results that are presented include higher-order bistabilities and an optimization study.

DOI
10.1364/josab.3.001706

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International Laser Science Conference•Jan 1, 1986•0 citations
A finite-difference method has been applied to the study of optical bistability. Comparison with independent calculations by Hankel-transform methods has firmly established the accuracy of some of the results of both methods. A description of the finite-difference method is given, together with an analysis of the factors that determine its efficiency. New results that are presented include higher-order bistabilities and an optimization study.
We report the transient nonadiabatic generalization of Bonifacio-Lugiato1 cw nonlinear ring cavity optical bistability (NRCOB) with mirrors that ensure the necessary feedback. A semiclassical formalism is adopted, consisting of a paraxial wave equation coupled to the two-level sharp-line density matrix which includes detuning and relaxation times in conjunction with boundary conditions at the mirrors. The existing super-fluorescence finite difference code2 with radial variations of the Beer length has been modified to simulate the NRCOB with the free space propagation between the mirror treated with a finite Hankel series.3