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The European Physical Journal B

Correlation functions for a laser with saturable absorber near threshold

S.T. Dembiński, Andrzej Kossakowski, L. Wolniewicz, L. A. Lugiato, Paul Mandel

Published Mar 1, 1978• 13 citations
Publisher
DOI
10.1007/bf01322194

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Lasers with two-photon saturable absorbers exhibit a phase instability similar to that of two-photon optical bistability. Beyond the phase instability threshold the output intensity breaks into spontaneous oscillations. Analytical perturbative solutions have been found and we have linearized the Fokker-Planck equation around these solutions. The drift and diffusion matrices have been perturbatively developed and we obtained a time-dependent Ornstein-Uhlenbeck stochastic process. We have calculated the amplitude correlations and squeezing spectrum near but above the threshold for a Hopf bifurcation in bad cavity conditions.