On period doubling bifurcations in semiconductor lasers

Abstract
In semiconductor lasers, spectral hole burning, asymmetrical, longitudinal-mode competition, and population fluctuations in the carrier density are modelled by a nonlinear gain term in the rate equations. For physical, realistic values of the nonlinear gain parameter (10−24 m3), period doubling bifurcations and chaotic behaviour resulting from periodic forcing are suppressed in agreement with experimental findings. In the paper we predict the bifurcations as a result of instabilities in the fully nonlinear solutions to the rate equations with nonlinear gain. The predictions are shown to agree with our direct numerical solutions of the rate equations.

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