Title :
Mathematical models of electromagnetic wave scattering by two-element strip grating with a perpendicularly magnetized gyrotropic medium
Author :
Gandel, Y.V. ; Khoroshun, V.V.
Author_Institution :
Kharkov Nat. Univ., Ukraine
Abstract :
Two mathematical models are proposed for analyzing a linearly polarized plane wave scattering by a strip grating placed on isotropic-gyrotropic media interface in the case of oblique incidence. The first mathematical model is based on reducing the original boundary value problem to the Riemann-Hilbert problem. The second model is based on reducing the same problem to a singular integral equation of the first kind with a Cauchy kernel and its numerical solution by the discrete singularities method.
Keywords :
boundary-value problems; diffraction gratings; electromagnetic wave scattering; integral equations; periodic structures; Cauchy kernel; Riemann-Hilbert problem; boundary value problem; discrete singularities method; dual series equations; electromagnetic wave scattering; isotropic-gyrotropic media interface; linearly polarized plane wave scattering; mathematical models; numerical solution; oblique incidence; periodic structure; perpendicularly magnetized gyrotropic medium; singular integral equation; two-element strip grating; Boundary value problems; Electromagnetic scattering; Electromagnetic wave polarization; Gratings; Gyrotropism; Integral equations; Kernel; Magnetic analysis; Mathematical model; Strips;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on
Conference_Location :
Kiev, Ukraine
Print_ISBN :
0-7803-7391-X
DOI :
10.1109/MMET.2002.1106949
