Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background

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dc.creatorYan, Wei
dc.creatorYan, Min
dc.creatorQiu, Min
dc.date2008-06-19
dc.date.accessioned2026-07-07T09:45:37Z
dc.date.available2026-07-07T09:45:37Z
dc.descriptionIt has been known that, keeping the outer boundary coordinates intact before and after a coordinate transformation is a sufficient condition for obtaining a reflectionless transformation medium. Here we prove that it is also a necessary condition for reflectionless transformation media in an isotropic and homogenous background. Our analytical results show that the outer boundary coordinates of a reflectionless transformation medium must be the same as the original coordinates with a combination of rotation and displacement, which is equivalent to situation that the boundary coordinates are kept intact before and after transformation.
dc.description9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0806.3231
dc.identifierhttp://arxiv.org/abs/0806.3231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163255
dc.subjectOptics
dc.subjectClassical Physics
dc.titleNecessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background
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