Analytical Scattering Solution of Huygens' Refracting Metasurfaces Reveals Unknown Functionalities

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.