Derivation of the three-layer model for surface second-harmonic generation

TL;DR

This paper develops explicit formulas for surface second-harmonic generation using a three-layer model, applicable to various surface symmetries, aiding in the analysis of nonlinear optical responses.

Contribution

It introduces a comprehensive three-layer model with explicit expressions for second-harmonic radiation yield, adaptable to different surface symmetries.

Findings

Derived explicit expressions for surface SHG yield

Applicable to systems with various symmetries

Simplified formulas for common surface orientations

Abstract

We develop explicit expressions for the surface second-harmonic radiation yield using the three layer model. We derive expressions that can be applied to systems without and symmetry considerations, and then reduce them for the (111), (110), and (100) surface symmetries.