Regularized Transformation-Optics Cloaking in Acoustic and Electromagnetic Scattering
Analysis of PDEs
2014-09-03 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1409.0631,
title = {Regularized Transformation-Optics Cloaking in Acoustic and Electromagnetic Scattering},
author = {Hongyu Liu and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1409.0631},
year = {2014}
}
Comments
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