Numerical analysis of filamentation in laser diodes by sequential and iteration methods

In analyzing a waveguide of laser diode (LDs), fast and accurate convergence is difficult with the Runge-Kutta method in the case of a wider stripe, because much error accumulates at the LD´s stripe edges. In this study, we applied a relaxation method iteratively for such a LD analysis to avoid the difficulties of the Runge-Kutta method. It is shown that the relaxation method is superior to the Runge-Kutta method in terms of solvable stripe width of more than twice, and short calculation time of more than 10 times.