Abstract
The problem of electromagnetic scattering by a circular-grooved corrugated ground plane is treated in a cylindrical coordinate system (ρ, ϕ, z), where the solution assumes a 2π periodicity in direction. Thus, the solution can be expanded in a Fourier series in ϕ and can be decomposed into two orthogonal polarizations according to vector field theory. They are the fast polarization, Hϕ = 0 and the slow polarization, Eϕ = 0. Furthermore, these two polarizations can be uniquely determined by Eϕ and Hϕ, respectively, each represented in the form of an integral involving Bessel functions. For the nth mode in the Fourier series expansion, they are where rn(ξ) is the unknown function amenable to electromagnetic boundary conditions. It is found that rn(ξ) can be constructed by another series of Bessel functions through the techniques of Hankel transforms. The coefficients of the series can be determined by enforcing the continuity of tangential fields in the groove aperture. Simulation results will be presented to show that the boundary-value techniques are efficient and computationally stable.
© 1992 Optical Society of America
PDF ArticleMore Like This
Yon-Lin Kok
TuS5 OSA Annual Meeting (FIO) 1991
Yon-Lin Kok
TuB3 Difraction Optics: Design, Fabrication, and Applications (DO) 1992
Vera L. Brudny
SMA5 Surface Roughness and Scattering (SURS) 1992