Active Exterior Cloaking

TL;DR

This paper introduces a novel active exterior cloaking method for 2D quasistatic and Helmholtz problems, demonstrating how a small number of devices can effectively shield objects with minimal scattering.

Contribution

It presents a new cloaking technique using active devices and polynomial approximation, applicable to 2D quasistatic and Helmholtz equations, with proven and numerical results.

Findings

Single device can cloak in quasistatics

Three devices achieve effective cloaking for Helmholtz

Constructed polynomial approximates desired field behavior

Abstract

A new method of cloaking is presented. For two-dimensional quasistatics it is proven how a single active exterior cloaking device can be used to shield an object from surrounding fields, yet produce very small scattered fields. The problem is reduced to finding a polynomial which is approximately one within one disk and zero within a second disk, and such a polynomial is constructed. For the two-dimensional Helmholtz equation, it is numerically shown that three active exterior devices placed around the object suffice to produce very good cloaking.