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Physical Review A

Numerical study of the effect of laser-frequency fluctuations on optical bistability

Steven M. Moore

Published Feb 1, 1986• 4 citations
Publisher

Abstract

A numerical study of the effect of laser-frequency fluctuations on dispersive optical bistability shows a strong dependence on the strength and correlation time of the noise. Both the stationary-state characteristics and switching times are studied, and a qualitative explanation is provided for some of the numerical results.
DOI
10.1103/physreva.33.1091

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We derive, solve, and analyze the linearized master equation and evaluate the spectrum for absorptive optical bistability in the high-QQQ cavity when the incident laser has jitter or frequency fluctuation. The fluctuations are treated as a time-dependent Gaussian process whose properties are determined by the individual laser's characteristics. With our results we can explain the qualitative results of machine simulations and provide criteria for the magnitude of fluctuations in optical bistability in terms of laser and cavity parameters.
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We solve numerically the simplest Fokker-Planck equation which describes the effects of amplitude noise in absorbitive optical bistability. When the semiclassical solution exhibits critical slowing down, the probability distribution becomes two-peaked in a sizable time interval during the approach to the one-peaked steady-state distribution. The switching time undergoes considerable fluctuations, and on the average it is shorter than predicted by semiclassical theory. These noise effects seem accessible to experimental observation.