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Solving a Spectral Problem for Large-Area Photonic Crystal Surface-Emitting Lasers

M. Radziunasa, E. Kuhna and H. Wenzelb

Published in:

Math. Modell. Anal., vol. 29, no. 3, pp. 575-599, doi:10.3846/mma.2024.20496 (2024).


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.

a Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Mohrenstrasse 39, 10117 Berlin, Germany
b Ferdinand-Braun-Institut (FBH), Gustav-Kirchhoff-Straße 4, 12489 Berlin, Germany


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

Copyright © 2024 The Author(s). Published by Vilnius Gediminas Technical University.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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