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Article: Perfectly matched layers in the discretized space: An analysis and optimization

TitlePerfectly matched layers in the discretized space: An analysis and optimization
Authors
Issue Date1996
PublisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/02726343.asp
Citation
Electromagnetics, 1996, v. 16 n. 4, p. 325-340 How to Cite?
AbstractThe perfectly matched layer (PML) has recently been introduced by Berenger as a material absorbing boundary condition (ABC) for electromagnetic waves. Recently, it has been pointed out that this absorbing boundary condition is the same as coordinate stretching in the complex space. In this paper, the corresponding coordinate stretching is analyzed in the discretized space of Maxwell's equations as described by the Yee algorithm. The corresponding dispersion relationship is derived for a PML medium and then the problem of reflection from a single interface is solved. A perfectly matched interface is shown not to exist in the discretized space, even though it exists in the continuum space. Numerical simulations both using finite difference method and finite element method confirm that such discretization error exists. A numerical scheme using the finite element method is then developed to optimize the PML with respect to its parameters. Examples are given to demonstrate the performance of the optimized PML and its application to the finite element solution of scattering problems.
Persistent Identifierhttp://hdl.handle.net/10722/182568
ISSN
2015 Impact Factor: 0.333
2015 SCImago Journal Rankings: 0.253
References

 

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.contributor.authorJin, JMen_US
dc.date.accessioned2013-05-02T05:15:54Z-
dc.date.available2013-05-02T05:15:54Z-
dc.date.issued1996en_US
dc.identifier.citationElectromagnetics, 1996, v. 16 n. 4, p. 325-340en_US
dc.identifier.issn0272-6343en_US
dc.identifier.urihttp://hdl.handle.net/10722/182568-
dc.description.abstractThe perfectly matched layer (PML) has recently been introduced by Berenger as a material absorbing boundary condition (ABC) for electromagnetic waves. Recently, it has been pointed out that this absorbing boundary condition is the same as coordinate stretching in the complex space. In this paper, the corresponding coordinate stretching is analyzed in the discretized space of Maxwell's equations as described by the Yee algorithm. The corresponding dispersion relationship is derived for a PML medium and then the problem of reflection from a single interface is solved. A perfectly matched interface is shown not to exist in the discretized space, even though it exists in the continuum space. Numerical simulations both using finite difference method and finite element method confirm that such discretization error exists. A numerical scheme using the finite element method is then developed to optimize the PML with respect to its parameters. Examples are given to demonstrate the performance of the optimized PML and its application to the finite element solution of scattering problems.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/02726343.aspen_US
dc.relation.ispartofElectromagneticsen_US
dc.titlePerfectly matched layers in the discretized space: An analysis and optimizationen_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-s2.0-0030191020en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0030191020&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume16en_US
dc.identifier.issue4en_US
dc.identifier.spage325en_US
dc.identifier.epage340en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridJin, JM=7403588231en_US

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