Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background
نویسندگان
چکیده
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. PACS numbers: 41.20.Jb, 42.25.Fx Necessary and sufficient conditions for reflectionless transformation media 2
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