A fem analysis of open boundary structures using edge elements and a cylindrical harmonics expansion

P. Allilomes, G. A. Kyriacou, E. Vafiadis, J. N. Sahalos

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

A finite element formulation for the solution of two-dimensional open field problems is proposed. The structure to be analyzed is enclosed in a circular contour C, and a vector electric field formulation based on hybrid node–edge elements is employed inside C, while the field outside C is expanded into an infinite sum of circular harmonics. The weighting factors of the expansion are evaluated by enforcing the field continuity conditions on the contour C. A generalized eigenvalue problem is finally formulated for the propagation constant along the axial direction (β-formulation), which is solved employing the QZ decomposition algorithm. The validity of the proposed method is established through comparisons with numerical and experimental results available in the published literature.

Original languageEnglish
Pages (from-to)69-79
Number of pages11
JournalElectromagnetics
Volume24
Issue number1-2
DOIs
Publication statusPublished - 1 Jan 2004

Keywords

  • Cylindrical harmonics
  • Edge elements
  • Eigenvalues
  • Finite element
  • Hybrid FEM
  • Leaky waves
  • Open field problems

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