A generalized perturbative approach for the computation of nonlinear scattering problems

TL;DR

This paper introduces a perturbative method to efficiently model nonlinear light scattering, avoiding iterative solutions and demonstrating accuracy and speed improvements over previous models.

Contribution

A novel perturbative approach that simplifies nonlinear scattering calculations, reducing computational complexity without sacrificing accuracy.

Findings

The method accurately models nonlinear scattering in anisotropic slabs.

It significantly reduces computational time compared to rigorous models.

Effective for various nonlinear materials and illumination conditions.

Abstract

We present a perturbative technique for modeling the scattering of light by a nonlinear material. This approach eliminates the need for an iterative algorithm to solve the fully coupled nonlinear problem. We demonstrate its effectiveness in the cases of a nonlinear anisotropic slab and a nonlinear periodic crystal, both illuminated by a plane wave under conical incidence and arbitrary polarization. Quantitative comparisons of the accuracy and computational time with our previously published rigorous model are provided.