Interface conditions for Maxwell’s equations by homogenization of thin inclusions: transmission, reflection or polarization

dc.contributor.authorSchweizer, Ben
dc.contributor.authorWiedemann, David
dc.date.accessioned2025-02-16T18:59:49Z
dc.date.available2025-02-16T18:59:49Z
dc.date.issued2025-01-29
dc.description.abstractWe consider the time-harmonic Maxwell equations in a complex geometry. We are interested in geometries that model polarization filters or Faraday cages. We study the situation that the underlying domain contains perfectly conducting inclusions, the inclusions are distributed in a periodic fashion along a surface. The periodicity is η > 0 and the typical scale of the inclusion is η, but we allow also the presence of even smaller scales, e.g. when thin wires are analyzed. We are interested in the limit η → 0 and in effective equations. Depending on geometric properties of the inclusions, the effective system can imply perfect transmission, perfect reflection or polarization.en
dc.identifier.urihttp://hdl.handle.net/2003/43471
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-25304
dc.language.isoen
dc.subjectMaxwell’s equationsen
dc.subjectHomogenizationen
dc.subjectInterface conditionsen
dc.subjectPolarizationen
dc.subject.ddc610
dc.titleInterface conditions for Maxwell’s equations by homogenization of thin inclusions: transmission, reflection or polarizationen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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