Light propagation in finite-sized photonic crystals: Multiple scattering using an electric field integral equation

TL;DR

This paper introduces a precise and efficient method for solving electromagnetic scattering in finite photonic crystals, enabling analysis of complex structures and light emission in photonic crystal waveguides.

Contribution

The paper presents a novel solution to the Lippmann-Schwinger equation applicable to arbitrary-shaped scatterers and non-homogeneous backgrounds in 2D photonic crystals.

Findings

Accurate calculation of light emission in finite photonic crystal waveguides

Method handles arbitrary scatterer shapes and backgrounds

Stable and efficient for multiple scattering problems

Abstract

We present an accurate, stable and efficient solution to the Lippmann-Schwinger equation for electromagnetic scattering in two dimensions. The method is well suited for multiple scattering problems and may be applied to problems with scatterers of arbitrary shape or non-homogenous background materials. We illustrate the method by calculating light emission from a line source in a finite sized photonic crystal waveguide.