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Volume 25, Issue 3
Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations

Thomas Hagstrom & Stephen Lau

J. Comp. Math., 25 (2007), pp. 305-336.

Published online: 2007-06

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  • 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.

  • Keywords

Maxwell's equations, Radiation boundary conditions, Fast algorithms, Kirchoff formulas, Perfectly matched layers.

  • AMS Subject Headings

65M99, 78M99.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-25-305, author = {Thomas Hagstrom and Stephen Lau}, title = {Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8694.html} }
TY - JOUR T1 - Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations AU - Thomas Hagstrom & Stephen Lau JO - Journal of Computational Mathematics VL - 3 SP - 305 EP - 336 PY - 2007 DA - 2007/06 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8694.html KW - Maxwell's equations, Radiation boundary conditions, Fast algorithms, Kirchoff formulas, Perfectly matched layers. AB -

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.

Thomas Hagstrom and Stephen Lau. (2007). Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations. Journal of Computational Mathematics. 25 (3). 305-336. doi:
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