EM wave scattering by one and many small impedance particles of arbitrary shape and applications

International Conference and Exhibition on Mesoscopic & Condensed Matter Physics

June 22-24, 2015 Boston, USA

Alexander G Ramm

Kansas State University, USA

Posters-Accepted Abstracts: J Material Sci Eng

Abstract :

Many-body Electromagnetic (EM) wave scattering problems are solved asymptotically, as the size of particles tends to zero and the number of these particles tends to infinity. Electromagnetic wave scattering by many small impedance particles of an arbitrary shape is studied. This theory allows one to give a recipe for creating materials with a desired refraction coefficient. 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 a material with a desired permeability. The theory presented in this talk is developed in the monograph. Numerical results are available in the papers. Papers deal with wave scattering by many small particles. Monograph deals with inverse problems. In particular, the problem of finding the location of small subsurface in homogeneities from the scattering data measured on the surface is studied. In monograph analytical formulas for the polarization tensor for bodies of arbitrary shapes are derived.

Biography :

Email: ramm@math.ksu.edu