Regularized Transformation-Optics Cloaking in Acoustic and Electromagnetic Scattering
arXiv:1409.0631
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
References in corpus (8)
- Achieving transparency with plasmonic coatings
- Hiding Under the Carpet: a New Strategy for Cloaking
- Full-wave invisibility of active devices at all frequencies
- Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem
- Enhancement of near-cloaking. Part II: the Helmholtz equation
- Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak
- Singular perturbation of reduced wave equation and scattering from an embedded obstacle
- Nearly Cloaking the Full Maxwell Equations
Cited by in corpus (8)
- Full and Partial Cloaking in Electromagnetic Scattering
- On an electromagnetic problem in a corner and its applications
- On a local geometric property of the generalized elastic transmission eigenfunctions and application
- Scattering by curvatures, radiationless sources, transmission eigenfunctions and inverse scattering problems
- Approximate Isotropic Cloak for the Maxwell equations
- On local and global structures of transmission eigenfunctions and beyond
- Cloaking for a quasi-linear elliptic partial differential equation
- Transformation Optics for the Modelling of Waves in a Universe with Nontrivial Topology