Conference Paper: The symplectiness of Maxwell's equations

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TitleThe symplectiness of Maxwell's equations
AuthorsSha, W1
Wu, X1
Huang, Z1
Chen, M1
Issue Date2008
Citation2008 International Conference On Microwave And Millimeter Wave Technology Proceedings, Icmmt, 2008, v. 1, p. 190-193 [How to Cite?]
DOI: http://dx.doi.org/10.1109/ICMMT.2008.4540337
AbstractThe connections between Maxwell's equations and symplectic matrix are studied. First, we analyze the continuous-time Maxwell's differential equations in free space and verify its time evolution matrix (TEMA) is symplectic-unitary matrix for complex space or symplectic-orthogonal matrix for real space. Second, the spatial differential operators are discretized by pseudo-spectral (PS) approach with collocated grid and by finite-difference (FD) method with staggered grid. For the PS approach, the TEMA conserves symplectic-unitary property. For the FD method, the TEMA conserves symplectic-orthogonal property. Finally, symplectic integration scheme is used in the time direction. In particular, we find the symplectiness of the TEMA also can be conserved. The mathematical proofs presented are helpful for deep researching the symplectic PSTD approach and the symplectic FDTD method. ©2008 IEEE.
DOIhttp://dx.doi.org/10.1109/ICMMT.2008.4540337
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorSha, W
dc.contributor.authorWu, X
dc.contributor.authorHuang, Z
dc.contributor.authorChen, M
dc.date.accessioned2012-06-20T06:17:24Z
dc.date.available2012-06-20T06:17:24Z
dc.date.issued2008
dc.description.abstractThe connections between Maxwell's equations and symplectic matrix are studied. First, we analyze the continuous-time Maxwell's differential equations in free space and verify its time evolution matrix (TEMA) is symplectic-unitary matrix for complex space or symplectic-orthogonal matrix for real space. Second, the spatial differential operators are discretized by pseudo-spectral (PS) approach with collocated grid and by finite-difference (FD) method with staggered grid. For the PS approach, the TEMA conserves symplectic-unitary property. For the FD method, the TEMA conserves symplectic-orthogonal property. Finally, symplectic integration scheme is used in the time direction. In particular, we find the symplectiness of the TEMA also can be conserved. The mathematical proofs presented are helpful for deep researching the symplectic PSTD approach and the symplectic FDTD method. ©2008 IEEE.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citation2008 International Conference On Microwave And Millimeter Wave Technology Proceedings, Icmmt, 2008, v. 1, p. 190-193 [How to Cite?]
DOI: http://dx.doi.org/10.1109/ICMMT.2008.4540337
dc.identifier.doihttp://dx.doi.org/10.1109/ICMMT.2008.4540337
dc.identifier.epage193
dc.identifier.scopuseid_2-s2.0-51149085900
dc.identifier.spage190
dc.identifier.urihttp://hdl.handle.net/10722/148973
dc.identifier.volume1
dc.languageeng
dc.relation.ispartof2008 International Conference on Microwave and Millimeter Wave Technology Proceedings, ICMMT
dc.relation.referencesReferences in Scopus
dc.titleThe symplectiness of Maxwell's equations
dc.typeConference_Paper
Author Affiliations
  1. Anhui University