Note on interpolational basis functions in the method of moments (EM scattering)

1990 ◽  
Vol 38 (1) ◽  
pp. 134-137 ◽  
Author(s):  
G.F. Herrmann
Keyword(s):  
Method Of Moments ◽  
Basis Functions ◽  
Em Scattering

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

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.

Sign in / Sign up

Export Citation Format

Share Document