Nearly Cloaking the Full Maxwell Equations: Cloaking Active Contents with General Conducting Layers

TL;DR

This paper develops a generalized near-cloak for electromagnetic waves using transformation optics, capable of cloaking both passive and active contents with practical conducting layers, supported by rigorous scattering estimates.

Contribution

It introduces a near-cloak design with a flexible conducting layer and active content cloaking, extending previous methods and providing sharp scattering estimates.

Findings

Effective near-cloak construction for general conducting layers.

Cloaking performance independent of cloaked content's activity.

Rigorous estimates for scattering amplitude derived.

Abstract

The regularized near-cloak via the transformation optics approach in the time-harmonic electromagnetic scattering is considered. This work extends the existing studies mainly in two aspects. First, it presents a near-cloak construction by incorporating a much more general conducting layer between the cloaked and cloaking regions. This might be of significant practical importance when production fluctuations occur. Second, it allows the cloaked contents to be both passive and active with an applied current inside. In assessing the near-cloaking performance, comprehensive and sharp estimates are derived for the scattering amplitude in terms of the asymptotic regularization parameter and the material tensors of the conducting layer. The scattering estimates are independent of the passive/active contents being cloaked, which implies that one could nearly cloak arbitrary contents by using the proposed near-cloak construction.