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18 April 2006 Plane-wave and cylindrical-wave admittance method for simulation of classical and photonic-crystal-based VCSELs
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Abstract
In this paper we present the application of a novel fully vectorial and three-dimensional computational method for planar devices to simulation of electromagnetic modes in classical and photonic-crystal-based VCSELs. We show the mathematical basis of the method and present results of computations of a resonant wavelength, optical losses, and a threshold gain of a classical arsenide VCSEL with oxide confinement and also of a purely photonic-crystal confined one. Furthermore we analyze the analytical reduction of computational domain to two dimensions in axisymmetric geometries with cylindrical-wave expansion, discuss the mathematical problems which occurs in such coordinates and suggest a method to overcome them.
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Maciej Dems, Tomasz Czyszanowski, and Krassimir Panajotov "Plane-wave and cylindrical-wave admittance method for simulation of classical and photonic-crystal-based VCSELs", Proc. SPIE 6182, Photonic Crystal Materials and Devices III (i.e. V), 618219 (18 April 2006); https://doi.org/10.1117/12.662869
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