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dc.contributor.authorDohnal, Tomáš-
dc.contributor.authorSchweizer, Ben-
dc.date.accessioned2017-10-11T13:22:54Z-
dc.date.available2017-10-11T13:22:54Z-
dc.date.issued2017-08-01-
dc.identifier.urihttp://hdl.handle.net/2003/36118-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-18134-
dc.description.abstractWe present a new numerical scheme to solve the Helmholtz equation in a wave-guide. We consider a medium that is bounded in the x2-direction, unbounded in the x1-direction and ε-periodic for large |x1|, allowing different media on the left and on the right. We suggest a new numerical method that is based on a truncation of the domain and the use of Bloch wave ansatz functions in radiation boxes. We prove the existence and a stability estimate for the infinite dimensional version of the proposed problem. The scheme is tested on several interfaces of homogeneous and periodic media and it is used to investigate the effect of negative refraction at the interface of a photonic crystal with a positive effective refractive index.en
dc.language.isoen-
dc.subjectHelmholtz equationen
dc.subjectradiation conditionen
dc.subjectlocally periodic mediaen
dc.subjectBloch wavesen
dc.subjectnegative refractionen
dc.subject.ddc610-
dc.titleA Bloch wave numerical scheme for scattering problems in periodic wave-guidesen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access-
eldorado.secondarypublicationfalse-
Appears in Collections:Preprints der Fakultät für Mathematik
Schweizer, Ben Prof. Dr.

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