Alexander G. Ramm
Kansas State University, USA
Title: Wave scattering by many small particles and creating materials with desired refraction coecients
Biography
Biography: Alexander G. Ramm
Abstract
Many-body wave scattering problems are solved asymptotically, as the size a of the particles tends to zero and the number of the particles tends to in nity. Acoustic, quantum-mechanical, and electromagnetic wave scattering by many smallparticles is studied.This theory allows one to give a recipe for creating materials with a desiredrefraction coecient. One can create material with negative refraction, that is, the group velocity in this material is directed opposite to the phase velocity. One can create material with some desired wave-focusing properties. For ex-ample, one can create a new material which scatters plane wave mostly in a fi xed given solid angle.