# Electromagnetic wave scattering by many small bodies and creating materials with a desired refraction coefficient.

## K-REx Repository

 dc.contributor.author Ramm, Alexander G. dc.date.accessioned 2011-06-06T15:36:46Z dc.date.available 2011-06-06T15:36:46Z dc.date.issued 2011-06-06 dc.identifier.uri http://hdl.handle.net/2097/9222 dc.description.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. en_US 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 desired absorption properties. dc.relation.uri http://www.jpier.org/PIERM/pier.php?paper=10072307 en_US dc.rights Permission to archive granted by The Electromagnetics Academy, May 12,2011. en_US dc.subject Electromagnetic waves en_US dc.subject Scattering theory en_US dc.subject Many-body scattering problems en_US dc.subject Singular integral equations en_US dc.title Electromagnetic wave scattering by many small bodies and creating materials with a desired refraction coefficient. en_US dc.type Article (author version) en_US dc.date.published 2010 en_US dc.citation.doi doi:10.2528/PIERM10072307 en_US dc.citation.epage 215 en_US dc.citation.jtitle Progress In Electromagnetics Research M en_US dc.citation.spage 203 en_US dc.citation.volume 13 en_US dc.contributor.authoreid ramm en_US
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