Semi-Vectorial Optical Model of Quantum-Cascade Laser

Above threshold modelling of quantum cascade lasers is a complicated numerical problem due to gain spatial anisotropy and very strong thermal effects. We suggest semi-vectorial approach for 3D modelling of the quantum cascade laser, in which the wave field is considered as TM-like mode. Resonant antiguide array of lasers is modelled as an example. The heating is due to ohmic losses in the active regions. The single mode operation stability is studied by calculating the higher order modes when the gain and refractive index distribution are produced by the lasing mode.