Two-Dimensional TE-Plane Wave Scattering by a Dielectric-Loaded Semicircular Trough in a Ground Plane

Abstract

The Rayleigh method is applied to solving the boundary value problem (BVP) for an E-polarized plane wave scattering by a dielectric-loaded semicircular trough in a perfectly electrically conducting (PEC) plane. A Fredholm second kind matrix equation is obtained for the Fourier coefficients upon using an additional equation in contrast to the traditional method. The Fredholm equation obtained yields a numerical solution with guaranteed convergence to the mentioned BVP. Proposed method is applied to study the radar cross section (RCS) reduction problem and to a model investigation of backscattering from an iceberg compared to rough estimated low-angle sea-clutter.

A Unique Solution to the 2-D H-Scattering Problem for a Semicircular Trough in a Pec Ground Plane

“…Coupled with analogous work for E-case [13], this paper finishes the long-time efforts to overcome this problem. Primarily, the considered BVP problem can be used for testing methods that are more general.…”

“…A rigorous solution to this BVP for the TE case (transverse electric to the plane of incidence) was obtained by the author in [12]. In this work, as in [8,9], the Rayleigh's method coupled with partial orthogonality of trigonometric functions was used.…”

“…In this paper, see also [13], the analogous method is applied for solving the TM scattering problem. A Fredholm 2nd kind matrix equation for Fourier coefficients is also obtained, which yields a unique solution to the mentioned BVP for any grazing angle and scatterer size.…”

T-Matrix Analysis of Multiple Scattering From Parallel Semi-Circular Channels Filled With Chiral Media in a Conducting Plane

“…Many authors have utilized the dual-series solution for the radar cross section (RCS) analysis of a single channel or the one loaded by dielectric cylinders [1][2][3][4][5][6][7]. In dual-series solution, the fields are expanded in terms of cylindrical harmonics and boundary conditions are enforced to obtain the expansion coefficients.…”

Electromagnetic plane-wave scattering from a sectorial groove in a perfectly conducting plane

“…[12]). In a few canonical cases, such as a semicircular trough [13][14][15][16][17], a shallow circular gap [18,19] and a semi-elliptic channel [20], the series approach based on the boundary value solution has been the commonly adopted technique. However, in most cases, even with simple geometry, the explicit analytical solutions are precluded.…”