Modulation of output power in the spatio-temporal analysis of a semi conductor laser

Abstract This paper examines the spatio temporal patterns of a set of a (2 + 1) dimensional partial differential equations (PDE) describing the dynamics of semiconductor external cavity THz lasers. The study is conducted in two phases: (a) first we show that the behaviour of the single mode system may be periodic or chaotic; (b) the output power may be optimized by proper choices of parameters, such as cavity length and injected current, which lead to high dimensional spatio-temporal chaotic regimes. This conclusion applies to systems with one and with two external cavities, and is robust with respect to variations of parameter values and initial-boundary conditions.