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Creating Materials with a Desired Refraction Coefficient provides a recipe for creating materials with a desired refraction coefficient, and the many-body wave scattering problem for many small impedance bodies is solved. The physical assumptions make the multiple scattering effects essential. On the basis of this theory, a recipe for creating materials with a desired refraction coefficient is given. Technological problems are formulated which, when solved, make the theory practically applicable. The Importance of a problem of producing a small particle with a desired boundary impedance is emphasized, and inverse scattering with non-over-determined scattering data is considered.

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9781643278742

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Alexander G. Ramm, is Professor of Mathematics; is the author of 680 research papers, 14 monographs, and edited three books. He was Fulbright Research Professor in Israel and in Ukraine and won the Khwarizmi international award. Recently he solved inverse scattering problems with non-over-determined data and the many-body wave scattering problem when the scatterers are small particles of an arbitrary shape, and used this theory to give a recipe for creating materials with a desired refraction coefficient and gave a solution to the Pompeiu problem.

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