Homogenization and Scattering Analysis of Second-Harmonic Generation in Nonlinear Metasurfaces

TL;DR

This paper analyzes the homogenization and scattering properties of second-harmonic generation in nonlinear metasurfaces using GSTCs, providing conditions for reflectionless, transmissionless, and nonreciprocal behaviors in different regimes.

Contribution

It introduces a comprehensive modeling framework for nonlinear metasurfaces using GSTCs, including frequency and time domain analyses, and derives novel scattering conditions.

Findings

Derived conditions for reflectionless and transmissionless second-harmonic scattering.

Analyzed nonreciprocal scattering phenomena in nonlinear metasurfaces.

Provided modeling approaches for undepleted and depleted pump regimes.

Abstract

We propose an extensive discussion on the homogenization and scattering analysis of second-order nonlinear metasurfaces. Our developments are based on the generalized sheet transition conditions (GSTCs) which are used to model the electromagnetic responses of nonlinear metasurfaces. The GSTCs are solved both in the frequency domain, assuming an undepleted pump regime, and in the time-domain, assuming dispersionless material properties but a possible depleted pump regime. Based on these two modeling approaches, we derive the general second-harmonic reflectionless and transmissionless conditions as well as the conditions of asymmetric reflection and transmission. We also discuss and clarify the concept of nonreciprocal scattering pertaining to nonlinear metasurfaces.