Perturbation analysis of bistability and period doubling bifurcations in directly-modulated laser diodes

Resonance frequency shift, bistability, and period doubling bifurcations in directly modulated semiconductor lasers are accounted for by applying multiple scale expansions to the rate equations that take into account spontaneous emission and gain saturation. Explicit algebraic expressions of parameter ranges for resonance frequency shift, bistability, and period 2 and period 4 oscillations are derived, and they are compared with results of numerical calculations. Physical mechanisms of resonance frequency shift and period doubling bifurcations are also explained.>