Computation of the scattering from inhomogeneous objects with a discrete rotational symmetry and a nonsymmetric part

Abstract

Using a specific solver for circulant matrices can reduce the cost of computing the scattering from a discrete rotational symmetric object by up to several orders of magnitude. In this paper, a solver is developed for symmetric objects with a nonsymmetrical part (such as an antenna on a body of revolution). This solver has been implemented in a finite-element code based upon a hybrid formulation. The hybrid formulation combines integral equations and partial differential equations; it can handle inhomogeneous anisotropic objects of arbitrary shape. Results on inhomogeneous objects with defects are shown. The solver can also be used to perform a parametric study of the defects.Index Terms-Boundary integral equations, electromagnetic scattering, finite-element method.

Fast, Simple and Accurate Computation of the Currents on an Arbitrarily Large Circular Loop Antenna

“…The important implications of this property can be readily seen in scattering analysis of structures with circular symmetry [12]- [14]. In particular, [12] elaborates on the use of block-circulant matrices for the radiation analysis of circular arrays of dipoles, [13] utilizes similar concepts for the scattering analysis of discrete bodies of revolution, whereas [14] is a representative of a series of papers by the same research group on the optimization of the Method of Auxiliary Sources applied to circular cylinders of various materials. The geometry of the circular loop is clearly amenable to such an approach, provided that the basis and testing functions of the MoM formulation are suitably chosen.…”

Comparative study of miscellaneous methods applied to a benchmark, inlet scattering problem

“…3.2 PAME-ELSEM3D and PAME-FACTOPO: the hybrid, domain decomposition tools used by ONERA, France ONERA has used two different schemes in scattering analysis, namely PAME-ELSEM3D and PAME-FACTOPO [14][15][16][17][18]. ELSEM3D is a tool developed for antennas and RCS applications involving materials and very large and complex objects.…”

Implementation of spectral basis functions in BEM/FEM/GSM Domain Decomposition Methods devoted to scattering and radiation applications

“…Each subdomain may be divided again in order to reduce the computation time and to take advantage of local subdomain geometrical symmetries [21]. Note that, the subdomains associated with the external geometry are unbounded.…”