Title: Scattering by many small particles and creating materials with a desired refraction coefficient

Authors: M.I. Andriychuk, A.G. Ramm

Addresses: Institute of Applied Problems of Mechanics and Mathematics, NASU, 3 'B' Naukova St., 79060, Lviv, Ukraine. ' Mathematics Department, Kansas State University, Manhattan, KS 66506-2602, USA

Abstract: Combining an asymptotic method and computational modelling the authors propose a method for creating materials with the desired electrodynamical characteristics, in particular, with a desired refraction coefficient. The problem of wave scattering by many small particles is solved asymptotically under the assumptions ka << 1, d >> a, where a is the size of the particles and d is the distance between the neighbouring particles. On the wavelength one may have many small particles. Impedance boundary conditions are assumed on the boundaries of small particles. The results of numerical simulation show good agreement with the theory. Constructive conclusions are given for creating materials with a desired refraction coefficient on the basis of the obtained numerical results. Engineering realisation of the theory is of practical interest.

Keywords: many-body wave scattering problem; desired refraction coefficient; computational modelling; materials creation; electrodynamics.

DOI: 10.1504/IJCSM.2010.033929

International Journal of Computing Science and Mathematics, 2010 Vol.3 No.1/2, pp.102 - 121

Published online: 04 Jul 2010 *

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