Stability of steady-state high-power semiconductor laser models

Fox-Li iteration-based algorithms form the core of steady-state design tools for high-power semiconductor lasers. The theoretical formalism is developed for Fox-Li iteration-based algorithms as applied to high-power lasers. This allows us to study their numerical properties, explain their behavior, and show the nature of the calculated approximate cavity modes. Lower-dimensional models are used to identify and explain the source of numerical instabilities and to find ways of improving the convergence rate of Fox-Li iteration algorithms. Finally, the results of the lower-dimensional analysis are verified by performing simulations of high-power tapered laser diodes in two dimensions using the finite-difference beam-propagation method.