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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 FieldValue
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
 
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Author Affiliations
  1. Anhui University