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

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

2008-06-19

arxiv.org/abs/0806.3231v1

Physics

Optics

9 pages, 4 figures

Scientific paper

It 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.

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