Analytical Scattering Solution of Huygens' Refracting Metasurfaces Reveals Unknown Functionalities

TL;DR

This paper presents an analytical solution for the scattering of Huygens' metasurfaces, revealing new functionalities like reflectionless refraction and oblique absorption, advancing the understanding of their electromagnetic behavior.

Contribution

It provides the first closed-form analytical solution for TE plane-wave scattering on Huygens' metasurfaces, uncovering previously unknown functionalities.

Findings

Revealed reflectionless refraction

Discovered oblique absorption

Provided a comprehensive analytical framework

Abstract

Scattering of refracting Huygens' metasurfaces is revisited. A new analytical closed-form solution is obtained for the two-dimensional problem under transverse electric (TE) plane-wave incidence -- a solution which gives the scattering for any (in-plane) angle of incidence and frequency. In the process of obtaining the solution, interesting mathematical concepts are considered -- such as solving and enforcing uniqueness upon an infinite system of equations. The obtained solution uncovers two previously unknown functionalities of refracting Huygens' metasurfaces -- namely reflectionless refraction and oblique absorption.