Title: Creating materials with a desired refraction coefficient: numerical experiments

Authors: Sapto W. Indratno, Alexander G. Ramm

Addresses: Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USA. ' Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USA

Abstract: A recipe for creating materials with a desired refraction coefficient is implemented numerically. An error estimate is given for the approximate solution of the many-body scattering problem in the case of small scatterers. This result is used for the estimate of the minimal number of small particles to be embedded in a given domain D in order to get a material whose refraction coefficient approximates the desired one with the relative error not exceeding a desired small quantity.

Keywords: many-body wave scattering problem; metamaterials; refraction coefficient; materials creation.

DOI: 10.1504/IJCSM.2010.033928

International Journal of Computing Science and Mathematics, 2010 Vol.3 No.1/2, pp.76 - 101

Available online: 04 Jul 2010 *

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