A periodic FMM for Maxwell's equations in 3D and its applications to problems related to photonic crystals

DOI10.1016/j.jcp.2008.01.029zbMath1206.78084OpenAlexW2077590721MaRDI QIDQ924467

Naoshi Nishimura, Yoshihiro Otani

Publication date: 16 May 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.01.029

zbMATH Keywords

boundary integral equationMaxwell's equationsperiodic problemsfast multipole methodphotonic crystals

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Method of moments applied to problems in optics and electromagnetic theory (78M05)

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Cites Work

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• Rapid solution of integral equations of scattering theory in two dimensions
• A wideband fast multipole method for the Helmholtz equation in three dimensions
• Sums of spherical waves for lattices, layers, and lines
• An FMM for periodic boundary value problems for cracks for Helmholtz' equation in 2D
• A fast algorithm for particle simulations
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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