A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions

TL;DR

This paper introduces a high-order integral equation method combined with a fast direct solver for efficient 2D scattering simulations from complex periodic structures with multiple materials, enabling rapid analysis at various incident angles.

Contribution

It presents a novel integral equation approach and a fast direct solver tailored for scattering problems involving multiple material interfaces in periodic structures.

Findings

High-order accuracy achieved in simulations

Efficient computation for multiple incident angles

Successful numerical demonstrations of the method

Abstract

We present a new integral equation method for the calculation of two-dimensional scattering from periodic structures involving triple-points (multiple materials meeting at a single point). The combination of a robust and high-order accurate integral representation and a fast direct solver permits the efficient simulation of scattering from fixed structures at multiple angles of incidence. We demonstrate the performance of the scheme with several numerical examples.