SOLVING A SPECTRAL PROBLEM FOR LARGE-AREA PHOTONIC CRYSTAL SURFACE-EMITTING LASERS

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...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 29; no. 3; pp. 575 - 599
Main Authors Radziunas, Mindaugas, Kuhn, Eduard, Wenzel, Hans
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 01.09.2024
Subjects
Algorithms
Analysis
Crystal surfaces
Efficiency
exponential growth
Finite difference method
Green’s function
Lasers
modeling, finite difference
Photonic crystals
semiconductor laser
Semiconductors
simulations
Spectral emittance
spectral problem
Surface emitting lasers
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Summary: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.
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2024.20496