Plane-wave scattering by a perfectly conducting circular cylinder near a plane surface: cylindrical-wave approach

Abstract

A new method for the analysis of the diffraction of a plane wave impinging on a perfectly conducting circular cylinder in front of a generally reflecting surface is presented. The surface is characterized by its complex reflection coefficient, enabling us to treat a wide class of reflecting surfaces. The presence of the surface is taken into account by means of a suitable expansion of the reflected field in terms of cylindrical functions. The method gives the solution of the scattering problem in both the near and the far field regardless of the polarization state of the incident field. Numerical examples for dielectric interfaces are presented, and comparisons are made with results presented in the literature.

Electromagnetic Scattering from a Circular Target above or below Rough Surface

“…Reference [25] presents a rigorous analysis of the plane-wave scattering from a perfectly electrically conducting (PEC) circular cylinder in front of a reflecting surface by cylindrical-wave approach and imposing the electromagnetic boundary conditions on the surface of the conducting cylinder. The scattering of a Gaussian beam by a PEC cylinder placed onto a conducting plane is carried out by means of the extinction theorem [26].…”

Electromagnetic Scattering From a Perfect Electromagnetic Conductor Cylinder Buried in a Dielectric Half-Space

“…The scattered fields given in equations (9) to (12) may easily be written to account for the spectrum of incident plane waves by integration over k x . Integrating the eigenfunction solutions in (9) and (12), over k x and using the appropriate weighting from (6), the initial scattered co-polarized field, for half space geometry, becomes…”

“…The analysis of a buried object below flat surface has been done analytically by D'Yakonov [1], and subsequently has been explained by Howard [2] and Ogunade [3], where the solution was obtained by the eigenfunction expansion of the total fields. A number of other analytical studies involving the scattering from buried objects below a flat interface have also been done [4][5][6][7][8][9][10][11][12][13][14][15]. Problem of a buried conducting cylinder of arbitrary geometry below a flat surface using the method of moments (MoM) is treated in [16,17].…”

A Cwa-Based Detection Procedure of a Perfectly-Conducting Cylinder Buried in a Dielectric Half-Space

“…We developed a Cylindrical-Wave Approach (CWA), in which the field scattered by the cylinders is decomposed in cylindrical waves. The reflection and transmission properties of such waves in the presence of plane interfaces have been discussed in [14] and [15], by introducing suitable reflected and transmitted cylindrical functions and the relevant spectral integrals. Such integrals have been numerically solved employing suitable adaptive integration techniques of Gaussian type, together with convergence-acceleration algorithms [16,17].…”