I was reading this article: https://arxiv.org/ftp/arxiv/papers/1005/1005.5206.pdf , regarding the mathematical description of a diamond-shaped cloaking device, and am struggling to understand how the authors found the coordinate transformations in equations (1) and (5).(adsbygoogle = window.adsbygoogle || []).push({});

What is the process for determining this type of transformation?

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# I Determining Coordinate Transformations for Cloaking Device

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