Direct Sum Representation of E-Plane Symmetrical Tees
Summary :
Upon the close examination of some typical papers treating E-Plane Symmetrical T-junctions, we derive peculiar equivalent circuits of the T-junctions in terms of the direct sum representation of the three-port. We show that the circuit elements can be determined by use of the Weissfloch nodal-shift method and that the circuits give an unified description and some new physical meanings of Lewin's equivalent circuit. Allanson-Cooper-Cowling's one, and others. Then we also give an analytical derivation of the direct sum in terms of a system of integral equations rearranged in a hybrid matrix whose determinant is nearly equal to zero for a tee. This property of the hybrid matrix allows the number of independent parameters to be reduced by one in a good approximation. Further the stationary values of the variational equations equivalent to the integral equations straightforwardly give the circuits elements.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E72-E No.7 pp.834-842
- Publication Date
- 1989/07/25
- Publicized
- Online ISSN
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- Type of Manuscript
- PAPER
- Category
- Microwave and Millimeter Wave Technology
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Tsunehiro OBATA, Jiro CHIBA, "Direct Sum Representation of E-Plane Symmetrical Tees" in IEICE TRANSACTIONS on transactions,
vol. E72-E, no. 7, pp. 834-842, July 1989, doi: .
Abstract: Upon the close examination of some typical papers treating E-Plane Symmetrical T-junctions, we derive peculiar equivalent circuits of the T-junctions in terms of the direct sum representation of the three-port. We show that the circuit elements can be determined by use of the Weissfloch nodal-shift method and that the circuits give an unified description and some new physical meanings of Lewin's equivalent circuit. Allanson-Cooper-Cowling's one, and others. Then we also give an analytical derivation of the direct sum in terms of a system of integral equations rearranged in a hybrid matrix whose determinant is nearly equal to zero for a tee. This property of the hybrid matrix allows the number of independent parameters to be reduced by one in a good approximation. Further the stationary values of the variational equations equivalent to the integral equations straightforwardly give the circuits elements.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e72-e_7_834/_p
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@ARTICLE{e72-e_7_834,
author={Tsunehiro OBATA, Jiro CHIBA, },
journal={IEICE TRANSACTIONS on transactions},
title={Direct Sum Representation of E-Plane Symmetrical Tees},
year={1989},
volume={E72-E},
number={7},
pages={834-842},
abstract={Upon the close examination of some typical papers treating E-Plane Symmetrical T-junctions, we derive peculiar equivalent circuits of the T-junctions in terms of the direct sum representation of the three-port. We show that the circuit elements can be determined by use of the Weissfloch nodal-shift method and that the circuits give an unified description and some new physical meanings of Lewin's equivalent circuit. Allanson-Cooper-Cowling's one, and others. Then we also give an analytical derivation of the direct sum in terms of a system of integral equations rearranged in a hybrid matrix whose determinant is nearly equal to zero for a tee. This property of the hybrid matrix allows the number of independent parameters to be reduced by one in a good approximation. Further the stationary values of the variational equations equivalent to the integral equations straightforwardly give the circuits elements.},
keywords={},
doi={},
ISSN={},
month={July},}
Copy
TY - JOUR
TI - Direct Sum Representation of E-Plane Symmetrical Tees
T2 - IEICE TRANSACTIONS on transactions
SP - 834
EP - 842
AU - Tsunehiro OBATA
AU - Jiro CHIBA
PY - 1989
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E72-E
IS - 7
JA - IEICE TRANSACTIONS on transactions
Y1 - July 1989
AB - Upon the close examination of some typical papers treating E-Plane Symmetrical T-junctions, we derive peculiar equivalent circuits of the T-junctions in terms of the direct sum representation of the three-port. We show that the circuit elements can be determined by use of the Weissfloch nodal-shift method and that the circuits give an unified description and some new physical meanings of Lewin's equivalent circuit. Allanson-Cooper-Cowling's one, and others. Then we also give an analytical derivation of the direct sum in terms of a system of integral equations rearranged in a hybrid matrix whose determinant is nearly equal to zero for a tee. This property of the hybrid matrix allows the number of independent parameters to be reduced by one in a good approximation. Further the stationary values of the variational equations equivalent to the integral equations straightforwardly give the circuits elements.
ER -
English
