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

Optics Express, Vol. 22, Issue 17, pp. 20481-20499 (2014)

http://dx.doi.org/10.1364/OE.22.020481

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### Abstract

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.

© 2014 Optical Society of America

**OCIS Codes**

(290.4210) Scattering : Multiple scattering

(290.5825) Scattering : Scattering theory

(160.2710) Materials : Inhomogeneous optical media

**ToC Category:**

Scattering

**History**

Original Manuscript: July 15, 2014

Revised Manuscript: August 3, 2014

Manuscript Accepted: August 4, 2014

Published: August 15, 2014

**Virtual Issues**

Vol. 9, Iss. 10 *Virtual Journal for Biomedical Optics*

**Citation**

Jun Lai, Motoki Kobayashi, and Leslie Greengard, "A fast solver for multi-particle scattering in a layered medium," Opt. Express **22**, 20481-20499 (2014)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-17-20481

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