Application of Barycentric Subdivision Method for Singularity Integration in Method of Moments

Authors

  • Chunwang Xiang Department of Electronic Engineering Tsinghua University, Beijing 100084, China State Key Laboratory on Microwave and Digital Communications Beijing National Research Center for Information Science and Technology (BNRist)
  • Xunwang Dang Science and Technology on Electromagnetic
  • Maokun Li Department of Electronic Engineering Tsinghua University, Beijing 100084, China State Key Laboratory on Microwave and Digital Communications Beijing National Research Center for Information Science and Technology (BNRist)
  • Fan Yang Department of Electronic Engineering Tsinghua University, Beijing 100084, China State Key Laboratory on Microwave and Digital Communications Beijing National Research Center for Information Science and Technology (BNRist)
  • Shenheng Xu Department of Electronic Engineering Tsinghua University, Beijing 100084, China State Key Laboratory on Microwave and Digital Communications Beijing National Research Center for Information Science and Technology (BNRist)

Keywords:

Barycentric subdivision method, method of moments (MoM), Rao-Wilton-Glisson (RWG) basis, singular integration, singularity extraction method

Abstract

Method of moments (MoM) is an essential tool to model electromagnetic wave interactions with three-dimensional targets. Numerical integration is a key technique in MoM. Due to the singular nature of Green's function, MoM requires special treatment in the calculation of singular integration, which is usually timeconsuming. In this study, the barycentric subdivision method is investigated to compute numerical integration in three-dimensional surface integral equations. This method allows a uniform treatment for both singular and non-singular integrals. Numerical examples show that this method could reach the same level of accuracy as the singularity extraction method for RWG basis functions, and the computational time of setting up the matrix can be reduced by half.

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Published

2019-11-01

How to Cite

[1]
Chunwang Xiang, Xunwang Dang, Maokun Li, Fan Yang, and Shenheng Xu, “Application of Barycentric Subdivision Method for Singularity Integration in Method of Moments”, ACES Journal, vol. 34, no. 11, pp. 1629–1636, Nov. 2019.

Issue

2019: Vol 34 Iss 11

Section

General Submission