ALEXANDER G RAMM

Kansas State University, USA

Title: Wave scattering by many small particles, creating materials with a desired refraction coecient and other applications

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Biography

Alexander G. Ramm was born in Russia, emigrated to USA in 1979 and is a US citizen. He is Professor Emeritus of Mathematics with broad interests in analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis and applied mathematics. He is an author of 716 research papers, 20 research monographs and an editor of 3 books. He has lectured in many Universities throughout the world, gave more than 150 invited and plenary talks at various Conferences and had supervised 11 Ph.D students. He was Fulbright Research Professor in Israel and Ukraine; distinguished visiting professor in Mexico and Egypt; Mercator Professor in Germany; Research Professorin France; invited plenary speaker at the 7-th PACOM; he won Khwarizmi international award in 2004 and received other honors.

Research Interest

The theory of wave scattering by many small impedance particles of arbitrary shapes is developed. The basic assumptions are: a is smaller than d, where a is the characteristic size of particles, d is the smallest distance between the neighboring particles, is the wavelength. This theory allows one to give a recipe for creating materials with a desired refraction coeffcient. One can create material with negative refraction: the group velocity in this material is directed opposite to the phase velocity. One can create a material with a desired wave focusing property. Quantum-mechanical scattering by many potentials with small supports is considered.