A Loop-Star Decomposition for the B-Spline Based Discretization of the Electric Field Integral Equation

Mohammad Mirmohammadsadeghi, Bernd Hofmann, Thomas F. Eibert, Francesco P. Andriulli, Simon B. Adrian

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The electric field integral equation (EFIE) is widely employed to determine the field that is scattered from perfectly electrically conducting (PEC) structures. However, it is known to suffer from a low-frequency breakdown. In order to overcome this breakdown for a B-spline based (isogeometric) discretization of arbitrary polynomial order of the EFIE employing the method of moments, we propose a loop-star decomposition of the discretized surface current density resulting in a preconditioner involving solely sparse matrices. The proposed decomposition is applicable to open and closed simply-connected surfaces described by a single or by multiple patches. To verify the correctness of the proposed method, numerical examples are provided.

Original languageEnglish
Title of host publication18th European Conference on Antennas and Propagation, EuCAP 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9788831299091
DOIs
StatePublished - 2024
Event18th European Conference on Antennas and Propagation, EuCAP 2024 - Glasgow, United Kingdom
Duration: 17 Mar 202422 Mar 2024

Publication series

Name18th European Conference on Antennas and Propagation, EuCAP 2024

Conference

Conference18th European Conference on Antennas and Propagation, EuCAP 2024
Country/TerritoryUnited Kingdom
CityGlasgow
Period17/03/2422/03/24

Keywords

  • Broadband
  • electric field integral equation
  • low frequency

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