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Page 37
allied
academies
August 23-24, 2018 | Paris, France
Laser, Optics and Photonics
International Conference on
Journal of Materials Science and Nanotechnology | Volume: 2
Wave scattering by many small impedance particles and creating materials with a desired refraction
coefficient
Alexander G Ramm
Kansas State University, USA
T
he theory of acoustic and electromagnetic (EM) wave
scattering by one and many small impedance particles
of arbitrary shapes is developed. The basic assumptions are:
a << d << λ, where a is the characteristic size of particles, d is
the smallest distance between the neighbouring particles,
λ 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 field in
the medium in which many small impedance particles are
embedded. Similar results are obtained for heat transfer
in the media in which many small particles are distributed.
e:
ramm@math.ksu.edu