Correction of the Numerical Reflection Coefficient of the Finite-Difference Time-Domain Method for Efficient Simulation of Vertical-Cavity Surface-Emitting Lasers

Andreas Christ, Matthias Streiff, Andreas Witzig, Niels Kuster, and Wolfgang Fichtner, Journal of the Optical Society of America B, 2003, Volume 20, Issue 7, pp. 1401–1408, July 2003

Traditionally, one can calculate the update coefficients of the finite-difference time-domain algorithm at material interfaces by averaging the material properties of both sides, which leads to numerical inaccuracies of the reflection depending on the grid resolution. We propose a novel method to calculate the update coefficients such that the algorithm exactly fulfills the boundary conditions at a frequency of optimization, which allows a significant increase in grid spacing while limiting the numerical error. Using the proposed method, we reduced the computational expenses for the full-wave simulation of vertical-cavity surface-emitting lasers such that large structures can be treated without the need to exploit rotational symmetry. The method is demonstrated with the help of several examples.

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