A study of the numerical accuracy between the matrix elements for a Marching-on-in-degree time domain and a frequency domain MoM

Zicong Mei, Tapan K. Sarkar, Yu Zhang, Xunwang Zhao, Magdalena Salazar-Palma

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In a Marching-on-in-degree time domain solver based on a Galerkin implementation of the Method of Moments (MoM), it is observed that the matrix elements for the matrix to be inverted contain integrals that are similar to the ones encountered in a frequency domain MoM solver using the piecewise triangular patch basis functions. It is also observed that the error in the evaluation of the matrix elements involving these integrals are larger in the time domain than those involved in the frequency domain MoM solvers. The objective of this paper is to explain this dichotomy and how to improve upon them when using the triangular patch basis functions (RWG) for both the time and the frequency domain techniques. When the distance between the two triangular patches involved in the evaluation of the matrix elements, are close to each other or when the degree of the Laguerre polynomial in a MOD method is high, the integral accuracy will be compromised and the number of sampling points to evaluate the integrals need to be increased. Numerical results are presented to illustrate this point.

Original languageEnglish (US)
Title of host publication2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings
Pages29-30
Number of pages2
DOIs
StatePublished - Dec 1 2013
Event2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Orlando, FL, United States
Duration: Jul 7 2013Jul 13 2013

Publication series

NameIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)1522-3965

Other

Other2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013
CountryUnited States
CityOrlando, FL
Period7/7/137/13/13

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Mei, Z., Sarkar, T. K., Zhang, Y., Zhao, X., & Salazar-Palma, M. (2013). A study of the numerical accuracy between the matrix elements for a Marching-on-in-degree time domain and a frequency domain MoM. In 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings (pp. 29-30). [6710675] (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). https://doi.org/10.1109/APS.2013.6710675