Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background
Optics
2008-06-20 v1 Classical Physics
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.
Keywords
Cite
@article{arxiv.0806.3231,
title = {Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background},
author = {Wei Yan and Min Yan and Min Qiu},
journal= {arXiv preprint arXiv:0806.3231},
year = {2008}
}
Comments
9 pages, 4 figures