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Symmetry synthesis of the multiport scattering matrix as a first step in the design of electromagnetic components anddevices

Published online by Cambridge University Press:  15 August 2000

V. Dmitriev*
Affiliation:
University Federal of Para, PO Box 8619, Agencia UFPA, CEP 66075-900, Belem-PA, Brazil
J. C. W. A. Costa
Affiliation:
University Federal of Para, PO Box 8619, Agencia UFPA, CEP 66075-900, Belem-PA, Brazil
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Abstract

In this paper, we discuss a general method for symmetry synthesis of electromagnetic multiports. Two approaches are possible in this problem: (1) solution for all the possible symmetry groups describing the multiports, and (2) determination of the symmetry group of a given ideal scattering matrix and calculation of the real matrix. A three-way nonreciprocal divider synthesis illustrates the second approach. Also, for four-ports defined is the group tree allowing one to calculate all the possible scattering matrices.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2000

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References

C. Baum, H. Kritikos, Electromagnetic symmetry (Taylor and Francis, N.Y., 1995).
Dmitriyev, V., IEEE Trans. Microwave Theory Tech. 43, 2668 (1995). CrossRef
M. Hamermesh, Group Theory (Reading, M.A., Addison-Wesley, 1962).
J.A. Kirsanov et al., Izvestija VUZOV-Radioelectronica, 34, 99 (1991) (in Russian).