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Article: On Causality and dynamic stability of perfectly matched layers for FDTD simulations

TitleOn Causality and dynamic stability of perfectly matched layers for FDTD simulations
Authors
KeywordsAbsorbing Boundary Conditions
Anisotropic Media
Dispersive Media
Fdtd Methods
Perfectly Matched Layer
Issue Date1999
Citation
Ieee Transactions On Microwave Theory And Techniques, 1999, v. 47 n. 63 PART 1, p. 775-785 How to Cite?
AbstractWe investigate the spectral properties of the Cartesian, cylindrical, and spherical perfect matched layer (PML) absorbing boundary conditions. In the case of the anisotropicniediuni PML formulation, we analyze the analytical properties of the constitutive PML tensors on the complex cj-plane. In the case of the complex-space PML formulation (complex coordinate stretching formulation), we analyze the analytical properties of field solutions directly. We determine the conditions under which the PML's satisfy (or do not satisfy) causality requirements in the sense of the real-axis Fourier inversion contour. In the case of the noncausal PML, we point out the implications on the dynamic stability of time-domain equations and finite-difference time-domain (FDTD) simulations. The conclusions have impact both on the design of PML's for practical FDTD simulations and on the use of PML's as a physical basis for engineered artificial absorbers on nonplanar (concave or convex) surfaces. Numerical results illustrate the discussion. ©1999 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/182621
ISSN
2015 Impact Factor: 2.284
2015 SCImago Journal Rankings: 1.346
References

 

DC FieldValueLanguage
dc.contributor.authorTeixeira, FLen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:09Z-
dc.date.available2013-05-02T05:16:09Z-
dc.date.issued1999en_US
dc.identifier.citationIeee Transactions On Microwave Theory And Techniques, 1999, v. 47 n. 63 PART 1, p. 775-785en_US
dc.identifier.issn0018-9480en_US
dc.identifier.urihttp://hdl.handle.net/10722/182621-
dc.description.abstractWe investigate the spectral properties of the Cartesian, cylindrical, and spherical perfect matched layer (PML) absorbing boundary conditions. In the case of the anisotropicniediuni PML formulation, we analyze the analytical properties of the constitutive PML tensors on the complex cj-plane. In the case of the complex-space PML formulation (complex coordinate stretching formulation), we analyze the analytical properties of field solutions directly. We determine the conditions under which the PML's satisfy (or do not satisfy) causality requirements in the sense of the real-axis Fourier inversion contour. In the case of the noncausal PML, we point out the implications on the dynamic stability of time-domain equations and finite-difference time-domain (FDTD) simulations. The conclusions have impact both on the design of PML's for practical FDTD simulations and on the use of PML's as a physical basis for engineered artificial absorbers on nonplanar (concave or convex) surfaces. Numerical results illustrate the discussion. ©1999 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Microwave Theory and Techniquesen_US
dc.subjectAbsorbing Boundary Conditionsen_US
dc.subjectAnisotropic Mediaen_US
dc.subjectDispersive Mediaen_US
dc.subjectFdtd Methodsen_US
dc.subjectPerfectly Matched Layeren_US
dc.titleOn Causality and dynamic stability of perfectly matched layers for FDTD simulationsen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0033363163en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033363163&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume47en_US
dc.identifier.issue63 PART 1en_US
dc.identifier.spage775en_US
dc.identifier.epage785en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridTeixeira, FL=7102746700en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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