Systematic construction of two-dimensional higher-order vector finite element and its application to waveguide analysis

Authors
Citation
M. Hano et A. Koyama, Systematic construction of two-dimensional higher-order vector finite element and its application to waveguide analysis, ELEC C JP 2, 83(6), 2000, pp. 15-22
Citations number
14
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART II-ELECTRONICS
ISSN journal
8756663X → ACNP
Volume
83
Issue
6
Year of publication
2000
Pages
15 - 22
Database
ISI
SICI code
8756-663X(2000)83:6<15:SCOTHV>2.0.ZU;2-W
Abstract
In electromagnetic field analysis, a systematic method of construction is p resented for higher-order vector elements without respect to order. From th e Helmholtz theorem, the vector basis functions are chosen. From the simila rity with the scalar elements, the shape functions are determined by assign ing the constraints of vector elements. The meaning of the position and dir ection of the vector indicated in the element is clarified. Further, the pr esent method is applied to the analysis of the cutoff frequency of a hollow metallic waveguide. It is found that the more accurate solution even in th e higher-order elements can be obtained with an identical number of unknown s. (C) 2000 Scripta Technica.