Title :
Method of generalized eikonal and new 2-D scattering analytical solutions
Author :
Vesnik, Michael V.
Author_Institution :
Inst. of Radio Eng. & Electron., Russian Acad. of Sci., Moscow, Russia
Abstract :
A method for analytical solving of 2-D diffraction problems was introduced in previous studies. In this paper, the main features of the final version of the method are formulated. The purpose of the method is to solve 2-D Helmholtz equation boundary value problem for perfectly conducting scatterers of arbitrary shape. The key point of the method lies in the usage of integral representations received for special generalized "eikonal function" satisfying Laplace equation in one region (supplementary region) as a solution in another region (main region) of the boundary value problem for the Helmholtz equation with a variable wavenumber.
Keywords :
Helmholtz equations; Laplace equations; boundary-value problems; electromagnetic wave diffraction; electromagnetic wave scattering; 2D Helmholtz equation; 2D diffraction problems; 2D scattering analytical solutions; Laplace equation; boundary value problem; generalized eikonal; integral representations; main region; perfectly conducting scatterers; supplementary region; variable wavenumber; Boundary value problems; Diffraction; Integral equations; Laplace equations; Magnetic analysis; Scattering; Shape; Wave functions;
Conference_Titel :
Antenna Theory and Techniques, 2003. 4th International Conference on
Print_ISBN :
0-7803-7881-4
DOI :
10.1109/ICATT.2003.1239171