Alexander G. Ramm

Creating Materials with a Desired Refraction Coefficient (Second Edition) (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Creating materials with a desired refraction coefficient is a dream of engineers in mechanics, electrodynamics, materials sciences, and other areas. As the only comprehensive book available presenting this method, this revised and expanded edition of Creating Materials with a Desired Refraction Coefficient includes three new chapters and provides a recipe for creating materials with a desired refraction coefficient and solves the many-body wave scattering problem for many small impedance bodies. The physical assumptions presented make the multiple scattering effects essential and based on this theory, a recipe for creating materials with a desired refraction coefficient is provided.

Technical problems are described which, when solved, make this theory practically applicable. It is emphasized that a practical method for producing small impedance particles with a prescribed boundary impedance is very important. This text provides physical and mathematical arguments for the possibility to produce such particles. Inverse scattering with non-over-determined scattering data is also discussed.

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Produktdetails

• Verlag: Institute of Physics Publishing
• Seitenzahl: 100
• Erscheinungstermin: 3. Juli 2020
• Englisch
• ISBN-13: 9780750333917
• Artikelnr.: 59800269

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.