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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)
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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.
Keywords
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

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Citation

Please use this url to cite or link to this publication:

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, Thomas, & 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.
@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},
}

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