Plane-wave scattering by a dielectric circular cylinder parallel to a general reflecting flat surface

Abstract

We present a generalization of a method developed for treating the plane-wave scattering by a perfectly conducting circular cylinder in front of a plane surface to the case of a generic dielectric circular cylinder. Thanks to this formulation, the problem can be treated in a very efficient way for both the near and the far field, and an accurate determination of the field inside the cylinder is possible. Numerical results and comparisons with other methods are presented. (C) 1997 Optical Society of America

General Theory of Wave Scattering by Two Separated Particles

“…The solution obtained can be applied to some simple problems which were already solvedapproximately [17][18][19][20][21][22][23][24][25], to provide more detailed and accurate solutions. Although the theory we have developed here deals with the problem of scattering by two particles, it can be extended to the situation of more particles [26][27][28][29][30].…”

“…For problems of multiple particle scattering, analytic solutions are rare, except for very simple shapes: two parallel infinite planes (corresponding to the FabryPerot interferometer) is another textbook example, as are coaxial cylinders [13], concentric spheres [14], two parallel cylinders [15,16], and two spheres [17]. However, even the apparently simple problem of a plane wave scattered by a sphere or cylinder situated near a planar substrate has not yet been completely solved to give rigorous analytic solutions, and thus various approximation methods have been proposed [18][19][20][21][22][23][24][25].…”

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

“…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].…”

Scattering experiments with a diving cylinder

“…To investigate such geometries many analytical and numerical approaches were developed. They include, for example, image methods [2][3][4], applications of the extinction theorem [5,6], expansions of cylindrical waves [7,8] or integral-equation methods [9][10][11][12][13]. Most of these methods only consider a background medium consisting of two half spaces [2][3][4][5][6][7][8][9][10][11] or restrict the choice of the material or geometry parameters [2][3][4][5]7].…”