Effectiveness and improvement of cylindrical cloaking with the SHS lining

TL;DR

This paper analyzes the effectiveness of cylindrical electromagnetic cloaking and demonstrates that the use of a soft-and-hard surface lining significantly improves cloaking performance by reducing scattered waves and preventing field blow-up.

Contribution

It provides analytical and numerical evidence that SHS lining enhances cloaking effectiveness and mitigates field blow-up near the cloaking surface.

Findings

SHS lining improves cloaking performance

Cloaking reduces far-field scattering

Field blow-up is prevented with SHS lining

Abstract

We analyze, both analytically and numerically, the effectiveness of cloaking an infinite cylinder from observations by electromagnetic waves in three dimensions. We show that, as truncated approximations of the ideal permittivity and permeability tensors tend towards the singular ideal cloaking fields, so that the anisotropy ratio tends to infinity, the $D$ and $B$ fields blow up near the cloaking surface. We also consider cloaking with and without the SHS (soft-and-hard surface) lining. We demonstrate numerically that cloaking is significantly improved by the SHS lining, with both the far field of the scattered wave significantly reduced and the blow up of $D$ and $B$ prevented.