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The Characteristic Basis Function Method (CBFM)-enhanced Jacobi method has been introduced as an improvement to the standard iterative Jacobi method for finite array analysis. This technique is a domain decomposition approach based on the Method of Moments (MoM) formulation. In some cases, e.g. array environments with a low degree of mutual coupling, the runtime benefit of the CBFM-enhanced Jacobi...
The analysis of sparse, disjoint finite antenna array structures is considered in this work. The Method-of-Moments (MoM) based CBFM-enhanced Jacobi technique is presented, and offers an improvement over the standard iterative Jacobi method in terms of convergence and accuracy. By applying the Characteristic Basis Function Method (CBFM) during each iteration the effect of mutual coupling between the...
This paper considers the characteristic mode analysis (CMA) of finite antenna arrays, specifically for the design of the array element. The approach incorporates the Domain Greens Function Method (DGFM), i.e. a method-of-moments (MoM) based approach, to extract an active impedance matrix for each array element. The impedance matrices model the array environment for each antenna element and serve as...
The purpose of this work is to compare two iterative techniques that may be used for the analysis of large, disjoint finite antenna arrays, viz. the iterative Jacobi method and the iterative Domain Green's Function Method. These methods are conceptually similar, in that they offer alternative ways to improve non-local current distributions during the iterative process. The error convergence of each...
This work considers a combined structural-electromagnetic analysis of large dish reflector antennas typically used in radio astronomy. The effect of gravitational deformation on the radio telescope is quantified by a structural analysis conducted with a finite element solver. The deformed geometry is then analysed using a computational electromagnetic package from which the performance degradation...
The purpose of this work Is to Introduce the Iterative Domain Green's Function Method (DGFM) that may be used for the analysis of large, disjoint finite antenna arrays. The iterative DGFM presents an improvement over the conventional DGFM in terms of accuracy. The convergence rate of the technique will be illustrated at the hand of an example.
The purpose of this work is to present a quantitative comparison between three Method-of-Moments based domain decomposition techniques that are used for the analysis of large, disjoint finite antenna arrays. The methods considered are the Characteristic Basis Function Method, the Domain Green's Function Method, and a newly proposed improved version of the DGFM, i.e., the i-DGFM. The computational...
This paper considers the efficient numerical analysis of large, finite antenna arrays comprising of disjoint subarrays by using the Domain Green's Function Method (DGFM) [1] in conjunction with the Characteristic Basis Function Method (CBFM) [2]. In the CBFM-enhanced DGFM we consider large arrays consisting of multiple disjoint subarrays and impose the infinite array type assumption, i.e. that the...
This paper considers the efficient numerical analysis of large and complex electromagnetic structures by using domain decomposition techniques such as the Numerical Green's Function (NGF) [1] and the Domain Green's Function Method (DGFM) [2] in connection with hierarchical higher order basis functions [3, 4]. Both the NGF and DGFM methods are applicable to problems that can be subdivided into distinct...
This paper considers the efficient numerical analysis of arbitrary finite antenna array structures using the Domain Green's Function Method (DGFM). The DGFM is implemented in the comprehensive 3D electromagnetic field solver, FEKO [1], and uses the Method-of-Moments (MoM) formulation. The technique is based on that initially presented in [2] and is a perturbation approach where mutual coupling between...
This paper considers the characteristic mode analysis (CMA) of arbitrary electromagnetic structures using the comprehensive 3D electromagnetic field solver, FEKO [1]. The theory of characteristic modes, as presented in [2], is used to derive the real orthogonal current modes. These modes are obtained by solving a generalised symmetric eigenvalue problem defined by the real and imaginary parts of the...
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