Creating Materials with a Desired Refraction Coefficient - Ramm, Alexander G.
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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…mehr

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Produktbeschreibung
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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Autorenporträt
Alexander G Ramm, is a professor of mathematics, the author of 699 research papers and 17 research monographs, and he has edited three books. He was a Fulbright research professor in Israel and a Mercator Professor in Ukraine. He also won the Khwarizmi international award. Ramm solved inverse scattering problems with non-over-determined data, the many-body wave scattering problem when the scatterers are small particles of an arbitrary shape, and he has used this theory to give a recipe for creating materials with a desired refraction coefficient. He proved symmetry results for PDE, including a solution to the Pompeiu problem and a proof of the Schiffer's conjecture.