English

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

Numerical Analysis 2015-06-16 v1

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.

Keywords

Cite

@article{arxiv.1307.7496,
  title  = {A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions},
  author = {Leslie Greengard and Kenneth L. Ho and June-Yub Lee},
  journal= {arXiv preprint arXiv:1307.7496},
  year   = {2015}
}

Comments

19 Pages. 8 Figures

R2 v1 2026-06-22T00:59:24.306Z