Title :
Diffraction by two ideal strips
Author :
Shanin, Andrey V. ; Chernyshev, Sergey V.
Author_Institution :
Moscow Univ., Russia
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;
Conference_Titel :
Day on Diffraction 2001. Proceedings. International Seminar
Conference_Location :
St.Petersburg
Print_ISBN :
5-7997-0366-9
DOI :
10.1109/DD.2001.988481
