MATHEMATICAL-MODELING OF SEMICONDUCTOR-LASERS

In the modeling of semiconductor lasers, the electrostatic potential phi is taken to be a harmonic function both in the p-region OMEGA(p) and in the n-region OMEGA(n); however, across the photoactive layer GAMMA separating these regions, both phi and its normal derivative experience jumps that are determined implicitly by a system of differential and functional equations on GAMMA. It is proved that the mathematical formulation of the problem is well-posed; i.e., it has a unique solution for the range of parameters that occur in the physical problem.