Transformation of rate equations and approximate transient solutions for semiconductor lasers

Effects of the gain saturation, spontaneous emission, Auger recombination, and fast saturable absorption on the dynamics of laser diodes are studied approximately in a unified manner by transforming the rate equation to generalized coordinates. By applying the multiple-scales expansion method to the transformed nonlinear rate equations, the transient solutions of relaxation oscillation in laser diodes are derived. Analytic expressions for the photon density and the electron density agree well with numerical calculations.<
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