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arXiv · 0806.3231

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

Wei Yan·Min Yan·Min Qiu
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Abstract

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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Wei Yan, Min Yan, Min Qiu. 2008-06-19. Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background. https://arxiv.org/abs/0806.3231

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