A study of the augmented EFIE with a Calderón preconditioner

Su Yan, Jianming Jin, Zaiping Nie

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

Abstract

The electric-field integral equation (EFIE) is widely used for analyzing electromagnetic scattering and radiation problems because of its excellent accuracy. However, the poor spectrum property of the EFIE operator results in a very slow convergence rate in an iterative solution. In [1], a Calderón preconditioner is used to improve the spectrum property of the EFIE operator, leading to a fast convergent equation which can converge independently with respect to the mesh density of the discretization. Unfortunately, the application of the Calderón preconditioned EFIE to electrically large problems is seriously limited due to the internal resonance problem that the EFIE suffers. In order to avoid the internal resonance corruption, the magnetic-field integral equation (MFIE) is added to the Calderón preconditioned EFIE to obtain a Calderón preconditioned combined-field integral equation (CFIE) [2]. Although the internal resonance can be avoided, the accuracy of the solution is compromised because of the introduction of the MFIE. In this paper, the augmented EFIE (AEFIE) [3] is adopted to remove the internal resonance corruption while preserving the pure electric-field characteristics and hence the accuracy, and then preconditioned with the Calderón preconditioner to improve its convergence. Several numerical examples show that the Calderón preconditioned AEFIE can indeed eliminate the internal resonance effectively and converge fast.

Original languageEnglish (US)
Title of host publication2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
DOIs
StatePublished - Nov 22 2010
Event2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010 - Toronto, ON, Canada
Duration: Jul 11 2010Jul 17 2010

Publication series

Name2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010

Other

Other2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
Country/TerritoryCanada
CityToronto, ON
Period7/11/107/17/10

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture

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