New Implementation of the Conjugate Gradient Based on the Impedance Operator to Analyse Electromagnetic Scattering

Abstract

Abstract-An original iterative method based on the conjugate gradient algorithm is developed in this paper to study electromagnetic scattering. The Generalized Equivalent Circuit (GEC) method is used to model the problem and then deduce an electromagnetic equation based on the impedance operator. For validation purposes, the developed method has been applied to various iris structures. Results computed using the new implementation of the conjugate gradient are similar to theoretical values. The field and current distribution are identical to the ones obtained with the moment method. Moreover, the memory resources required for storage are significantly reduced.

Finite Step Conjugate Gradients Methods for the Solution of an Impedance Operator Equation Arising in Electromagnetics

“…Let consider the Cantor iris located in the cross section of a parallel-plates waveguide [8]. The aim is to compute the current density of the considered structure when illuminated by its fundamental mode: the TEM mode.…”

“…In this paper, some comparison data are given to show convergence properties of 4 versions of the conjugate gradients methods comparing to the moment method (MoM) [7] and to show the rate of convergence of each algorithm. Each version of the CGM used here has been developed using the new implementation of the CG algorithm presented in previous work [8]. This paper is organized as follows: Section 2 presents the problem formulation; it briefly reminds the methodology to extract the equivalent circuit and deduce the equation to solve.…”

A New Hybrid Mom-Gec Asymptotic Method for Electromagnetic Scattering Computation in Waveguides

“…They are depicted in Figure 1. The first one consists of one microstrip in a cross section of a rectangular Each EMEM waveguide is associated to a modal basis f m [22][23][24]. The studied structures are invariant in y direction, and the waveguides excitations are assured by their fundamental TEM modes.…”

“…In this context, numerous researches have been interested in accelerating the resolution of these kinds of problems and alleviating the electromagnetic study of these structures. They are based generally on different methods such as the multi-scale approaches [28][29][30][31][32] and the conjugate gradient [24]. Some others are based on the hybridization between MoM and asymptotic methods, especially PO method (MoM-PO), to achieve various electromagnetic studies such as the study of radiation problems of antenna mounted on a large platform [33] and the analysis of slot arrays enclosed in an electrically large Radome [34].…”