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The open source package FastHenry is a magnetoquasistatic analysis program which can be used for inductance calculations of arbitrary three-dimensional superconductor circuit layouts. It employs the Partial Element Equivalent Circuit (PEEC) method, with multi-level, fast multipole method (MLFMM) acceleration of the linear solver. The adaptive cross approximation (ACA) algorithm is an alternative approach...
This paper is concerned with the method of moments (MoM) for electric field integral equation (EFIE) based numerical electromagnetic analysis of conducting surface structures. Inner (source) and outer (testing) integrals are encountered, when evaluating matrix entries. The well-known Radial-Angular-R1-Sqrt (RA-R1-Sqrt) weak near singularity cancellation transformation quadrature scheme for the inner...
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...
Apart from accelerated method of moments (MoM) algorithms, such as the multi-level, fast multipole method (MLFMM) there are asymptotic methods to deal with electromagnetic scattering analysis of electrically large, conducting structures. This paper is concerned with the mesh-based, multiple-reflection physical optics (MRPO) method. The conventional MRPO has been considered prohibitively expensive...
A generalization of the Characteristic Basis Function Method (CBFM) for antenna array analysis is proposed, where overlapping subdomains are defined over multiple antenna elements as opposed to the conventional single antenna element approach. Generalized primary and secondary order CBFs are constructed in the context of a two-dimensional (2D), Method of Moments (MoM) solver. Numerical results for...
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...
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...
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.
Smoothing of derivative values which correspond, for example, to the gradient of a finite element method (FEM) solution of a scalar field, is a well-known approach for obtaining an estimate of a higher-order derivative. The difference may be used to estimate the error in the derivative or recovery may simply be used as a post-processing tool. Recovery is not a well-explored topic for electromagnetic...
The physical optics (PO) approximation is commonly used for scattering analysis of objects represented by a mesh of triangle elements. For PO-based analysis the shadowing information of each triangle with respect to the illumination is required (point source or plane wave). This task can be efficiently performed by splitting up the field of view into buffer boxes to localize shadowing checking. This...
Curvilinear, higher-order, triangular elements are often used in the Method of Moments (MoM). In such cases quadrature schemes based on near-singularity cancellation transformations have shown great promise. This paper focuses on the field evaluation integral involving the scalar Green function gradient kernel grad(1/R). Schemes based on splitting into three sub-triangles, followed by near-singularity...
This paper gives an overview of an efficient shadowing judgment algorithm for use in physical optics (PO) based electromagnetic scattering analysis. The geometry of the scatterer is represented by a mesh of triangle elements (N) and the currents by RWG basis functions. A direct approach to shadowing judgment will yield O(N^2) time scaling, which will be very time consuming. The proposed algorithm...
In the method of moments (MoM) a routine requirement is the integration of near-singular kernels over triangle domains. Increasingly, higherorder basis functions and curvilinear mesh elements are used. Near-singularity cancellation quadrature is an attractive approach for evaluating such integrals. This paper investigates the effect of curvi-linearity upon the accuracy of these quadrature schemes...
In the Method of Moments for electromagnetic field simulation it is often required to integrate near-singular kernels over triangle elements. Near-singularity cancellation quadrature schemes based on near-singularity cancellation transformations have become a popular choice for evaluating such integrals. Such transformations are typically constructed to cancel out the static kernel, however, in practice...
This paper shows how Characteristic Mode Analysis can be used to gain insight into the underlying radiation mechanisms of antennas. Characteristic Mode Analysis is based on the Method of Moments, which is an integral equation-based, electromagnetic field simulation technique. A weighted eigenvalue problem yields the modes.
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