Regularized Transformation-Optics Cloaking in Acoustic and Electromagnetic Scattering

Abstract

We consider transformation-optics based cloaking in acoustic and electromagnetic scattering. The blueprints for an ideal cloak use singular acoustic and electromagnetic materials, posing server difficulties to both theoretical analysis and practical fabrication. In order to avoid the singular structures, various regularized approximate cloaking schemes have been developed. We survey these developments in this paper. We also propose some challenging issues for further investigation.

To appear in a book edited by Societe Mathematique de France, consisting of the lecture notes of the conference Inverse Problems and Imaging in Feb 2013