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Construction of the dirichlet to neumann boundary operator for triangles and applications in the analysis of polygonal conductors

Thomas Demeester UGent and Daniël De Zutter UGent (2010) IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES. 58(1). p.116-127
abstract
This paper introduces a fast and accurate method to investigate the broadband inductive and resistive behavior of conductors with a nonrectangular cross section. The presented iterative combined waveguide mode (ICWM) algorithm leads to an expansion of the longitudinal electric field inside a triangle using a combination of parallel-plate waveguide modes in three directions, each perpendicular to one of the triangle sides. This expansion is used to calculate the triangle's Dirichlet to Neumann boundary operator. Subsequently, any polygonal conductor can be modeled as a combination of triangles. The method is especially useful to investigate current crowding effects near sharp conductor corners. In a number of numerical examples, the accuracy of the ICWM algorithm is investigated, and the method is applied to some polygonal conductor configurations.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Dirichlet to Neumann (DtN) operator, iterative combined waveguide mode algorithm (ICWM), TRANSMISSION-LINE PARAMETERS, COMPOSITE CONDUCTORS, INTERNAL IMPEDANCE, CROSS-SECTION, LOSSY LINES, MODELS, triangle, skin effect, quasi-TM approximations, polygonal conductor
journal title
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
IEEE Trans. Microw. Theory Tech.
volume
58
issue
1
pages
116 - 127
Web of Science type
Article
Web of Science id
000273609400013
JCR category
ENGINEERING, ELECTRICAL & ELECTRONIC
JCR impact factor
2.015 (2010)
JCR rank
42/247 (2010)
JCR quartile
1 (2010)
ISSN
0018-9480
DOI
10.1109/TMTT.2009.2035881
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1161855
handle
http://hdl.handle.net/1854/LU-1161855
date created
2011-02-21 10:40:33
date last changed
2016-12-19 15:46:38
@article{1161855,
  abstract     = {This paper introduces a fast and accurate method to investigate the broadband inductive and resistive behavior of conductors with a nonrectangular cross section. The presented iterative combined waveguide mode (ICWM) algorithm leads to an expansion of the longitudinal electric field inside a triangle using a combination of parallel-plate waveguide modes in three directions, each perpendicular to one of the triangle sides. This expansion is used to calculate the triangle's Dirichlet to Neumann boundary operator. Subsequently, any polygonal conductor can be modeled as a combination of triangles. The method is especially useful to investigate current crowding effects near sharp conductor corners. In a number of numerical examples, the accuracy of the ICWM algorithm is investigated, and the method is applied to some polygonal conductor configurations.},
  author       = {Demeester, Thomas and De Zutter, Dani{\"e}l},
  issn         = {0018-9480},
  journal      = {IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES},
  keyword      = {Dirichlet to Neumann (DtN) operator,iterative combined waveguide mode algorithm (ICWM),TRANSMISSION-LINE PARAMETERS,COMPOSITE CONDUCTORS,INTERNAL IMPEDANCE,CROSS-SECTION,LOSSY LINES,MODELS,triangle,skin effect,quasi-TM approximations,polygonal conductor},
  language     = {eng},
  number       = {1},
  pages        = {116--127},
  title        = {Construction of the dirichlet to neumann boundary operator for triangles and applications in the analysis of polygonal conductors},
  url          = {http://dx.doi.org/10.1109/TMTT.2009.2035881},
  volume       = {58},
  year         = {2010},
}

Chicago
Demeester, Thomas, and Daniël De Zutter. 2010. “Construction of the Dirichlet to Neumann Boundary Operator for Triangles and Applications in the Analysis of Polygonal Conductors.” Ieee Transactions on Microwave Theory and Techniques 58 (1): 116–127.
APA
Demeester, T., & De Zutter, D. (2010). Construction of the dirichlet to neumann boundary operator for triangles and applications in the analysis of polygonal conductors. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 58(1), 116–127.
Vancouver
1.
Demeester T, De Zutter D. Construction of the dirichlet to neumann boundary operator for triangles and applications in the analysis of polygonal conductors. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES. 2010;58(1):116–27.
MLA
Demeester, Thomas, and Daniël De Zutter. “Construction of the Dirichlet to Neumann Boundary Operator for Triangles and Applications in the Analysis of Polygonal Conductors.” IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES 58.1 (2010): 116–127. Print.