Mathematical Modelling of Electrical-Optical Effects in Semiconductor Laser Operation

Abstract

A mathematical model describing the coupling of electrical and optical effects in semiconductor lasers is introduced. Through a multiple-scale asymptotic expansion, the governing equations in the active region are reduced to one parabolic and four first-order hyperbolic partial differential equations. By making further assumptions, partially and fully lumped models for the active region are deduced, which complement (and provide a more systematic derivation of) previous well-established lumped models.