Title :
Diffraction of electromagnetic waves by gratings with piecewise smooth boundaries
Author_Institution :
Kazan State Univ., Russia
Abstract :
We consider a boundary value problem for the Helmholtz equation that arises in the mathematical modeling of the scattering of a plane electromagnetic wave by infinite perfectly conducting gratings with an arbitrary piecewise-smooth profile of finite size. In the Hilbert space of the square-integrable functions we find the solution of this problem as a potential whose density represents a solution of a weakly singular integral equation
Keywords :
Helmholtz equations; Hilbert spaces; boundary-value problems; diffraction gratings; electromagnetic wave diffraction; electromagnetic wave scattering; integral equations; Helmholtz equation; Hilbert space; boundary value problem; electromagnetic wave diffraction; infinite perfectly conducting gratings; mathematical modeling; piecewise smooth boundaries; plane electromagnetic wave; potential density; square-integrable functions; weakly singular integral equation; Boundary value problems; Diffraction gratings; Electromagnetic diffraction; Electromagnetic radiation; Electromagnetic scattering; Geometry; Hilbert space; Integral equations; Mathematical model; Polarization;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 1998. MMET 98. 1998 International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-4360-3
DOI :
10.1109/MMET.1998.709713
