Diffraction by two ideal strips

Author

Shanin, Andrey V. ; Chernyshev, Sergey V.

Author_Institution

Moscow Univ., Russia

fYear

2001

fDate

2001

Firstpage

237

Lastpage

249

Abstract

The problem of scattering of a plane wave by two ideal strips lying in one plane is studied. The Wiener-Hopf functional equation is formulated and studied. The following results are obtained. (1) The embedding formula is derived. This formula enables one to express the far-field diagram, depending on two variables (the angle of incidence and the angle of scattering) as the combination of 4 functions depending on one variable. (2) The ordinary differential equation with respect to the spectral variable is derived for the components of the far-field diagram. (3) The evolution equation describing the dependence of the far-field diagram on the parameters of the problem (such as the coordinates of the edges of the scatterer) are derived

Keywords

differential equations; electromagnetic fields; electromagnetic wave diffraction; electromagnetic wave scattering; functional equations; integral equations; spectral analysis; 2D Helmholtz equation; EM wave diffraction; Wiener-Hopf functional equation; embedding formula; evolution equation; far-field diagram; ideal strips; incidence angle; ordinary differential equation; plane wave scattering; scattering angle; spectral variable; Boundary conditions; Differential equations; Diffraction; Geometry; Gold; H infinity control; Image segmentation; Integral equations; Scattering parameters; Strips;

fLanguage

English

Publisher

ieee

Conference_Titel

Day on Diffraction 2001. Proceedings. International Seminar

Conference_Location

St.Petersburg

Print_ISBN

5-7997-0366-9

Type

conf

DOI

10.1109/DD.2001.988481

Filename

988481