The Use of Symmetry to Simplify the Integral Equation Method with Application to 6-Sided Circulator Resonators

In this paper it is shown that for planar two-dimensional problems with symmetry, the dimensions of the matrices, which must be inverted to obtain a solution using the integral equation method, can be substantially reduced. For instance, for a three-fold symmetric hexagonal circulator junction with...

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Published in:IEEE transactions on microwave theory and techniques 1982-08, Vol.30 (8), p.1219-1223, Article 1219
Main Authors: Riblet, G.P., Hansson, E.R.B.
Format: Article
Language:English
Subjects:
Admittance
Backplanes
Circuits
Impedance
Integral equations
Magnetic analysis
Scattering parameters
Symmetric matrices
Transmission line matrix methods
Transmission line theory
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description In this paper it is shown that for planar two-dimensional problems with symmetry, the dimensions of the matrices, which must be inverted to obtain a solution using the integral equation method, can be substantially reduced. For instance, for a three-fold symmetric hexagonal circulator junction with N segments about the periphery, the dimension of matrices to be inverted is reduced to N/3 from the usual N. It is demonstrated that for six-sided resonators with three-fold symmetry, a very good approximation to the equivalent admittance can be obtained with only 12 segments around the periphery, meaning that only 4 X 4 matrices need be inverted.
doi_str_mv 10.1109/TMTT.1982.1131225
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source IEEE Electronic Library (IEL) Journals
subjects Admittance
Backplanes
Circuits
Impedance
Integral equations
Magnetic analysis
Scattering parameters
Symmetric matrices
Transmission line matrix methods
Transmission line theory
title The Use of Symmetry to Simplify the Integral Equation Method with Application to 6-Sided Circulator Resonators
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