Enhancement of near-cloaking for the full Maxwell equations

TL;DR

This paper develops advanced near cloaking structures for the full Maxwell equations, significantly improving electromagnetic scattering concealment at specific frequencies through layered designs that minimize scattering coefficients.

Contribution

It introduces new layered cloaking structures that enhance near-invisibility in electromagnetic scattering for the full Maxwell equations, extending previous quasi-static and Helmholtz results.

Findings

Effective cloaking structures with vanishing first scattering coefficients

Near-zero scattering cross section within a frequency band

Enhanced cloaking performance compared to previous methods

Abstract

In this paper, we consider near cloaking for the full Maxwell equations. We extend the recent results, where the quasi-static limit case and the Helmholtz equation are considered, to electromagnetic scattering problems. We construct very effective near cloaking structures for the electromagnetic scattering problem at a fixed frequency. These new structures are, before using the transformation optics, layered structures and are designed so that their first scattering coefficients vanish. Inside the cloaking region, any target has near-zero scattering cross section for a band of frequencies. We analytically show that our new construction significantly enhances the cloaking effect for the full Maxwell equations.