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Solving a spectral problem for large-area photonic crystal surface-emitting lasers

    Mindaugas Radziunas Affiliation
    ; Eduard Kuhn Affiliation
    ; Hans Wenzel Affiliation

Abstract

We present algorithms for constructing and resolving spectral problems for novel photonic crystal surface-emitting lasers with large emission areas, given by first-order PDEs with two spatial dimensions. These algorithms include methods to overcome computer-arithmetic-related challenges when dealing with huge and small numbers. We show that the finite difference schemes constructed using relatively coarse numerical meshes enable accurate estimation of several major optical modes, which are essential in practical applications.

Keyword : modeling, finite difference, spectral problem, Green’s function, exponential growth, simulations, semiconductor laser, photonic crystal

How to Cite
Radziunas, M., Kuhn, E., & Wenzel, H. (2024). Solving a spectral problem for large-area photonic crystal surface-emitting lasers. Mathematical Modelling and Analysis, 29(3), 575–599. https://doi.org/10.3846/mma.2024.20496
Published in Issue
Jun 27, 2024
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This work is licensed under a Creative Commons Attribution 4.0 International License.

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