Scattering from quasi-planar and moderate rough surfaces : Efficient method to fill the EFIE-Galerkin MoM impedance matrix and to solve the linear system Article - Septembre 2021

Christophe Bourlier

Christophe Bourlier, « Scattering from quasi-planar and moderate rough surfaces : Efficient method to fill the EFIE-Galerkin MoM impedance matrix and to solve the linear system  », IEEE Transactions on Antennas and Propagation, septembre 2021, pp. 5761 - 5770. ISSN 0018-926X

Abstract

First, an acceleration to compute the impedance matrix obtained from the EFIE (electric field integral equation) discretized by the Galerkin MoM (method of moments) with Rao-Wilton-Glisson basis functions, is addressed. It is based on a far-field approximation and makes it possible to avoid to loop on the source and observation triangles. Next, the impedance matrix is split into strong and weak interactions ; the latter is compressed by expressing it from Toeplitz sub-matrices. Then, the linear system is efficiently solved by a bi-iterative scheme. For a given order, the LSQR (least squares QR) algorithm is applied to solve the sparse linear system related to the strong interactions, while the matrix-vector products, related to the weak interactions, are accelerated by using FFTs. Numerical results of the field scattered by perfectly-conducting paraboloid-shape object and Gaussian rough surface are shown.

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