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2010-08-16

Electromagnetic Wave Scattering by Many Small Bodies and Creating Materials with a Desired Refraction Coefficient

By Alexander G. Ramm
Progress In Electromagnetics Research M, Vol. 13, 203-215, 2010
doi:10.2528/PIERM10072307

Abstract

Electromagnetic wave scattering by many small particles is studied. An integral equation is derived for the self-consistent field E in a medium, obtained by embedding many small particles into a given region D. The derivation of this integral equation uses a lemma about convergence of certain sums. These sums are similar to Riemannian sums for the integral equation for E. Convergence of these sums is essentially equivalent to convergence of a collocation method for solving this integral equation. By choosing the distribution law for embedding the small particles and their physical properties one can create a medium with a desired refraction coefficient. This coefficient can be a tensor. It may have a desired absorption properties.

Citation


Alexander G. Ramm, "Electromagnetic Wave Scattering by Many Small Bodies and Creating Materials with a Desired Refraction Coefficient," Progress In Electromagnetics Research M, Vol. 13, 203-215, 2010.
doi:10.2528/PIERM10072307
http://www.jpier.org/PIERM/pier.php?paper=10072307

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