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Alexander G. Ramm

Kansas State University, USA

Title: Creating materials with a desired refraction coefficient


Biography: Alexander G. Ramm


The theory of acoustic and electromagnetic (EM) wave scattering by one and many small impedance particles of arbitrary shapes is developed. The basic as- sumptions are: a << 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 coefficient. 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. Equation is derived for the EM eld in the medium in which many small impedance particles are embedded.
Similar results are obtained in [6] for heat transfer in the media in which many small particles are distributed.
The theory presented in this talk is developed in [1]-[9].
Practical realizations of this theory are discussed in [9].