Self-consistent model of a nanoscale semiconductor laser using Green and Wigner functions in two bases

摘要

We report on the development of a self-consistent nanoscale semiconductor laser model. Wigner functions are used for modeling the carrier dynamics and the effect of the boundary conditions. The Green functions are used for interband polarizations, which we use to derive the optical susceptibility. We begin with a generalized approach applicable to different nanosystems with a flexible band-structure-type information and finish with an example of a quantum well laser using a combination of parabolic and Luettinger-Koehn band structure approximations. The novelty of this model is its ability to self-consistently incorporate spectral and dynamical charac-eristics for a semiconductor laser. In particular, an example will be presented where a nonequilibrium correction term for the standard susceptibility equation is derived.