Article: Survey on symplectic finite-difference time-domain schemes for Maxwell's equations

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TitleSurvey on symplectic finite-difference time-domain schemes for Maxwell's equations
AuthorsSha, W1
Huang, Z1
Chen, M1
Wu, X1
KeywordsIndex Terms - High-order differences
Maxwell's equations
Numerical stability and dispersion
Symplectic integrators
Issue Date2008
CitationIeee Transactions On Antennas And Propagation, 2008, v. 56 n. 2, p. 493-500 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAP.2007.915444
AbstractTo discretize Maxwell's equations, a variety of high-order symplectic finite-difference time-domain (p, q) schemes, which use th-order symplectic integration time stepping and th-order staggered space differencing, are surveyed. First, the order conditions for the symplectic integrators are derived. Second, the comparisons of numerical stability, dispersion, and energy-conservation are provided between the high-order symplectic schemes and other high-order time approaches. Finally, these symplectic schemes are studied by using different space and time strategies. According to our survey, high-order time schemes for matching high-order space schemes are required for optimum electromagnetic simulation. Numerical experiments have been conducted on radiation of electric dipole and wideband S-parameter extraction of dielectric-filled waveguide. The results demonstrate that the high-order symplectic scheme can obtain satisfying numerical solutions under high Courant-Friedrichs-Levy number and coarse grid conditions. © 2008 IEEE.
ISSN0018-926X
2011 Impact Factor: 2.151
2011 SCImago Journal Rankings: 0.291
DOIhttp://dx.doi.org/10.1109/TAP.2007.915444
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorSha, W
dc.contributor.authorHuang, Z
dc.contributor.authorChen, M
dc.contributor.authorWu, X
dc.date.accessioned2012-06-20T06:16:07Z
dc.date.available2012-06-20T06:16:07Z
dc.date.issued2008
dc.description.abstractTo discretize Maxwell's equations, a variety of high-order symplectic finite-difference time-domain (p, q) schemes, which use th-order symplectic integration time stepping and th-order staggered space differencing, are surveyed. First, the order conditions for the symplectic integrators are derived. Second, the comparisons of numerical stability, dispersion, and energy-conservation are provided between the high-order symplectic schemes and other high-order time approaches. Finally, these symplectic schemes are studied by using different space and time strategies. According to our survey, high-order time schemes for matching high-order space schemes are required for optimum electromagnetic simulation. Numerical experiments have been conducted on radiation of electric dipole and wideband S-parameter extraction of dielectric-filled waveguide. The results demonstrate that the high-order symplectic scheme can obtain satisfying numerical solutions under high Courant-Friedrichs-Levy number and coarse grid conditions. © 2008 IEEE.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationIeee Transactions On Antennas And Propagation, 2008, v. 56 n. 2, p. 493-500 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAP.2007.915444
dc.identifier.doihttp://dx.doi.org/10.1109/TAP.2007.915444
dc.identifier.epage500
dc.identifier.isiWOS:000253086900023
dc.identifier.issn0018-926X
2011 Impact Factor: 2.151
2011 SCImago Journal Rankings: 0.291
dc.identifier.issue2
dc.identifier.scopuseid_2-s2.0-40549128373
dc.identifier.spage493
dc.identifier.urihttp://hdl.handle.net/10722/148886
dc.identifier.volume56
dc.languageeng
dc.publisher.placeUnited States
dc.relation.ispartofIEEE Transactions on Antennas and Propagation
dc.relation.referencesReferences in Scopus
dc.subjectIndex Terms - High-order differences
dc.subjectMaxwell's equations
dc.subjectNumerical stability and dispersion
dc.subjectSymplectic integrators
dc.titleSurvey on symplectic finite-difference time-domain schemes for Maxwell's equations
dc.typeArticle
Author Affiliations
  1. Anhui University