Evaluation of singular potential integrals in the method of moments using linearly phased RWG basis functions

2007 ◽  
Author(s):  
M.G. Araujo ◽  
J.M. Taboada ◽  
F. Obelleiro ◽  
J.L. Rodriguez ◽  
I. Garcia-Tunon
Keyword(s):  
Method Of Moments ◽  
Singular Potential ◽  
Basis Functions

scholarly journals Closed-Form Expressions for Numerical Evaluation of Self-Impedance Terms Involved on Wire Antenna Analysis by the Method of Moments

Electronics ◽  
2021 ◽  
Vol 10 (11) ◽  
pp. 1316
Author(s):  
Carlos-Ivan Paez-Rueda ◽  
Arturo Fajardo ◽  
Manuel Pérez ◽  
Gabriel Perilla
Keyword(s):  
Numerical Integration ◽  
Method Of Moments ◽  
Computing Time ◽  
Basis Functions ◽  
Wire Antenna ◽  
Complex Geometries ◽  
Point Matching ◽  
Piecewise Constant ◽  
Matching Procedure ◽  
Time Required

This paper proposes new closed expressions of self-impedance using the Method of Moments with the Point Matching Procedure and piecewise constant and linear basis functions in different configurations, which allow saving computing time for the solution of wire antennas with complex geometries. The new expressions have complexity O(1) with well-defined theoretical bound errors. They were compared with an adaptive numerical integration. We obtain an accuracy between 7 and 16 digits depending on the chosen basis function and segmentation used. Besides, the computing time involved in the calculation of the self-impedance terms was evaluated and compared with the time required by the adaptative quadrature integration solution of the same problem. Expressions have a run-time bounded between 50 and 200 times faster than an adaptive numerical integration assuming full computation of all constant of the expressions.

scholarly journals Method of Moments Simulation of Modulated Metasurface Antennas With a Set of Orthogonal Entire-Domain Basis Functions

2019 ◽  
Vol 67 (2) ◽  
pp. 1119-1130 ◽  
Author(s):  
Modeste Bodehou ◽  
David Gonzalez-Ovejero ◽  
Christophe Craeye ◽  
Isabelle Huynen
Keyword(s):  
Method Of Moments ◽  
Basis Functions ◽  
Entire Domain

scholarly journals Review of singular potential integrals for method of moments solutions of surface integral equations

2005 ◽  
Vol 2 ◽  
pp. 93-99 ◽  
Author(s):  
A. Tzoulis ◽  
T. F. Eibert
Keyword(s):  
Integral Equations ◽  
Method Of Moments ◽  
Singular Potential ◽  
Logarithmic Singularity ◽  
Boundary Integral ◽  
Surface Integral ◽  
Hybrid Finite Element ◽  
Convergence Results ◽  
Surface Integral Equations ◽  
Element Boundary

Abstract. Accurate evaluation of singular potential integrals is essential for successful method of moments (MoM) solutions of surface integral equations. In mixed potential formulations for metallic and dielectric scatterers, kernels with 1/R and r1/R singularities must be considered. Several techniques for the treatment of these singularities will be reviewed. The most common approach solves the MoM source integrals analytically for specific observation points, thus regularizing the integral. However, in the case of r1/R a logarithmic singularity remains for which numerical evaluation of the testing integral is still difficult. A recently by Yl¨a-Oijala and Taskinen proposed remedy to this issue is discussed and evaluated within a hybrid finite element – boundary integral technique. Convergence results for the MoM coupling integrals are presented where also higher-order singularity extraction is considered.

Comparison of Computational Electromagnetics for Electrostatic Analysis

2014 ◽  
Vol 3 (3) ◽  
pp. 86-100 ◽  
Author(s):  
M. Dhamodaran ◽  
R. Dhanasekaran
Keyword(s):  
Method Of Moments ◽  
Unit Length ◽  
Simulation Method ◽  
Electrostatic Charge ◽  
Basis Functions ◽  
Charge Simulation Method ◽  
Geometrical Shapes ◽  
Technique Apply ◽  
Charge Analysis ◽  
Element Method

This paper presents comparative studies on different numerical methods like method of moments (MOM), Boundary Element Method (BEM), Finite element method (FEM), Finite difference method (FDM), Charge Simulation method (CSM) and Surface charge method. The evaluation of the capacitance of various structures having different geometrical shapes is importance to study the behavior of electrostatic charge analysis. The MOM is based upon the transformation of an integral equation, into a matrix equation by employing expansion of the unknown in terms of known basis functions with unknown coefficients such as charge distribution and hence the capacitance is to be determined. To illustrate the usefulness of this technique, apply these methods to the computation of capacitance of different conducting shapes. This paper reviews the results of computing the capacitance-per-unit length with the other methods. The capacitance of charged conducting plates is reviewed by different methods.

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