On the EOS formulation for light scattering. Stability, Singularity and Parallelization

TL;DR

This paper examines mathematical and numerical challenges in using the EOS approach for light scattering, focusing on stability, singularity, and parallelization, especially for nonlinear and inhomogeneous optical responses.

Contribution

It provides an analysis of stability, singularity, and parallelization issues in the EOS formulation for light scattering, highlighting key considerations for complex optical responses.

Findings

Identifies stability issues in EOS calculations.

Discusses singularity handling in wave scattering.

Explores parallelization strategies for EOS computations.

Abstract

In this paper we discuss some of the mathematical and numerical issues that have to be addressed when calculating wave scattering using the EOS approach. The discussion is framed in context of light scattering by objects whose optical response can be of a nonlinear and/or inhomogeneous nature. The discussions address two issues that, more likely than not, will be part of any investigation of wave scattering using the EOS approach.