10 / 37
Page 91
Nano Research & Applications
ISSN 2471-9838
E u r o S c i C o n C o n f e r e n c e o n
Nanotechnology &
Smart Materials
O c t o b e r 0 4 - 0 6 , 2 0 1 8
Am s t e r d a m , N e t h e r l a n d s
Nanotechnology & Smart Materials 2018
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, where ‘a’ is the characteristic size of particles and ‘d’ is the smallest
distance between the neighbouring 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
field in the medium in which many small impedance particles are embedded. Similar results are obtained in for heat transfer in
the media in which many small particles are distributed. The theory presented in this talk is developed from our previous papers
published.
ramm@math.ksu.eduNano Res Appl Volume:4
DOI: 10.21767/2471-9838-C6-025