Conformal carpet and grating cloaks

TL;DR

This paper presents a new class of conformal cloaks with exact refractive-index profiles for various shapes, improving performance especially for gratings with zero average value.

Contribution

It introduces conformal versions of carpet cloaks with exact mathematical profiles, enhancing design flexibility and performance analysis.

Findings

Exact refractive-index profiles for various cloak shapes.

Improved cloaking performance for gratings with zero average value.

Asymptotic analysis of finite-size cloak behavior.

Abstract

We introduce a class of conformal versions of the previously introduced quasi-conformal carpet cloak, and show how to construct such conformal cloaks for different cloak shapes. Our method provides exact refractive-index profiles in closed mathematical form for the usual carpet cloak as well as for other shapes. By analyzing their asymptotic behavior, we find that the performance of finite-size cloaks becomes much better for metal shapes with zero average value, e.g., for gratings.