On plane wave scattering off a system of scatterers

Author

Iakovlev, A.S. ; Yakovlev, S.L.

Author_Institution

Dept. of Math., R. Inst. of Technol., Stockholm

fYear

2008

fDate

3-6 June 2008

Firstpage

196

Lastpage

199

Abstract

The scattering of a plain wave on a system of scatterers is considered. The scatterer is described as a bounded domain Omega with the velocity of the wave propagation in the interior of Omega be different from the velocity of wave propagation in the exterior of Omega. The T-matrix formalism has been developed for description of a scattering process. The multichannel approach of Faddeev equations is applied to the problem of calculation of the T-matrix in order to obtain the multiscattering series for the scattering amplitude. The onefold and twofold rescattering amplitudes which in certain cases give the leading contribution to the overall scattering amplitude have been calculated analytically as for nonregular placement of the scatterers as well as for the periodic two dimensional grid of scatterers.

Keywords

light propagation; light scattering; transfer function matrices; Faddeev equation; T-matrix formalism; bounded domain; multichannel approach; multiscattering series; nonregular placement; onefold rescattering amplitude; periodic two-dimensional grid; plane wave scattering process; scatterers; two-fold rescattering amplitude; wave propagation velocity; Diffraction; Fourier transforms; Mathematics; Partial differential equations; Physics computing; Scattering;

fLanguage

English

Publisher

ieee

Conference_Titel

Days on Diffraction, 2008. DD '08. Proceedings of the International Conference

Conference_Location

St. Petersburg

Print_ISBN

978-5-9651-0277-8

Type

conf

Filename

5072340