A group theory rule for predicting eigenvalue crossings in characteristic mode analyses

Research output: Contribution to journalArticle

Abstract

The von Neumann-Wigner theorem is used to demonstrate the general result that objects without inherent geometric symmetry will have entirely noncrossing characteristic mode eigenvalues. This suggests that objects of this kind can be analyzed without the need of advanced eigenvalue tracking routines, save for special treatment of modes that numerically appear and disappear from the spectrum. Asymmetry introduced by meshing is examined, along with the convergence and lack of convergence of certain parameters related to symmetry with mesh refinement.

Original languageEnglish (US)
Article number7582479
Pages (from-to)944-947
Number of pages4
JournalIEEE Antennas and Wireless Propagation Letters
Volume16
DOIs
StatePublished - Jan 1 2017

Keywords

  • Antenna theory
  • coupled-mode analysis
  • group theory
  • method of moments
  • modal analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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