Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak

TL;DR

This paper presents a comprehensive theory for regularized approximate invisibility cloaking for wave scattering described by the Helmholtz equation, applicable in any spatial dimension using transformation optics techniques.

Contribution

It introduces a general framework for regularized cloaking that extends from partial to full cloaks, advancing the theoretical understanding of wave invisibility.

Findings

Develops a unified theory for regularized cloaking in wave scattering

Applies transformation optics to achieve approximate invisibility in any dimension

Bridges the gap from partial to full cloaking solutions

Abstract

We develop a very general theory on the regularized approximate invisibility cloaking for the wave scattering governed by the Helmholtz equation in any space dimensions via the approach of transformation optics.