A fast solver for multi-particle scattering in a layered medium

Jun Lai, Motoki Kobayashi, Leslie Greengard

Research output: Contribution to journalArticlepeer-review


In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embedded in the middle layer. Such geometries are typical of microstructured composite materials, and the evaluation of the scattered field requires a suitable fast solver for either a single configuration or for a sequence of configurations as part of a design or optimization process. We have developed an algorithm for problems of this type by combining the Sommerfeld integral representation, high order integral equation discretization, the fast multipole method and classical multiple scattering theory. The efficiency of the solver is illustrated with several numerical experiments.

Original languageEnglish (US)
Pages (from-to)20481-20499
Number of pages19
JournalOptics Express
Issue number17
StatePublished - Aug 25 2014

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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