On the Ewald Oseen scattering formulation for light scattering: stability, singularity and parallelization

• Published in: Physica scripta Vol. 95; no. 1; pp. 15201 - 15211
• Main Authors: Lin, Aihua, Jakobsen, Per Kristen
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01-01-2020
• Subjects: 3D Maxwell's equations; EOS formulations; Matematikk og Naturvitenskap: 400; Mathematics and natural science: 400; parallelization; singularity; stability; VDP
• ISSN: 0031-8949; 1402-4896; 1402-4896
• DOI: 10.1088/1402-4896/ab3d0d

In this paper we discuss some of the mathematical and numerical issues that have to be addressed when calculating wave scattering using the Ewald Oseen scattering (EOS) formulation which is newly developed for solving linear and nonlinear scattering problems. 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.