Nystrom-Type Method in Three-Dimensional Electromagnetic Diffraction by a Finite PEC Rotationally Symmetric Surface

Abstract

Time-harmonic electromagnetic wave diffraction by a perfectly electrically conducting (PEC) finite rotationally symmetric surface located in free space is investigated. The problem is split to independent azimuth orders and reduced to the sets of coupled hypersingular and singular integral equations (IEs) for the surface current components. These IEs are discretized by the Nystrom-type method of discrete singularities using the interpolation type quadrature formulas. From the solutions of corresponding matrix equations the near-and the far-field patterns are obtained. The presented method has guaranteed convergence for arbitrary not axially symmetric primary field.Index Terms-Body of revolution (BOR), focusing, interpolation type quadrature formulas, radar cross-section, scattering, singular and hypersingular integral equations.

A New Analytically Regularizing Method for the Analysis of the Scattering by a Hollow Finite-Length Pec Circular Cylinder

“…It is simple to understand that expressions (25) and (26) can be immediately extended to the case for n = 0 by means of analytical continuation.…”

“…It is interesting to observe that the regularizing procedure is in general neither trivial nor unique, and that the computational cost of numerical algorithm is strictly related to the selected regularizing scheme. As a matter of fact, different solutions have been proposed in the literature, ranging from the explicit inversion of the most singular part of the integral operator [14,[22][23][24]29] to the adoption of a Nystrom-type discretization scheme [17,25,30].…”

The Approximate Method for Solving the Boundary Integral Equations of the Problem of Wave Scattering by Superconducting Lattice

“…The Nystrom-type methods are popular methods of numerical solution of boundary integral equations of mathematical diffraction theory [1,2,3,4]. In the countries of the former Soviet Union, some variants of Nystromtype methods are called methods of discrete vortices [5,6] or methods of discrete singularities [7].…”

“…In the countries of the former Soviet Union, some variants of Nystromtype methods are called methods of discrete vortices [5,6] or methods of discrete singularities [7]. In the articles [1,2,3,4] and many others (see. [8]) the solution of mathematical electrodynamics problems is carried out in two stages.…”

“…In the articles [1,2,16] the integral equations have the same properties as the boundary equations of the problem of wave scattering by superconducting tapes.…”