Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations
Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 3 : pp. 305–336
Abstract
We review time-domain formulations of radiation boundary conditions for Maxwell's equations, focusing on methods which can deliver arbitrary accuracy at acceptable computational cost. Examples include fast evaluations of nonlocal conditions on symmetric and general boundaries, methods based on identifying and evaluating equivalent sources, and local approximations such as the perfectly matched layer and sequences of local boundary conditions. Complexity estimates are derived to assess work and storage requirements as a function of wavelength and simulation time.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8694
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 3 : pp. 305–336
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Keywords: Maxwell's equations Radiation boundary conditions Fast algorithms Kirchoff formulas Perfectly matched layers.