Split frequencies and susceptances of the three-port junction circulator from an experimental determination of the complex gyrator circuit

Joseph Helszajn, John Sharp, Mark McKay

Research output: Contribution to journalArticle

Abstract

The adjustment of the classic three-port circulator involves an in-phase eigen-network and a pair of split counter-rotating ones. The purpose of this paper is to use some recent relationships to experimentally extract the split susceptances of the counter-rotating immittances and the susceptance slope parameter of the junction by having recourse to a one-port measurement of its complex gyrator circuit. This is done under the assumption that the in-phase eigen-network of the junction may be idealized by an electric wall. The split frequencies of the counter-rotating eigen-networks of the circulator may also be deduced from this characterization and are in good agreement, under the same assumption, with those derived from one-port measurements on a terminated circulator. The latter arrangement does not, however, allow the split susceptances of the counter-rotating eigen-networks to be deduced. © 2008 IEEE.

Original languageEnglish
Article number4623147
Pages (from-to)2213-2220
Number of pages8
JournalIEEE Transactions on Microwave Theory and Techniques
Volume56
Issue number10
DOIs
Publication statusPublished - Oct 2008

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gyrators
counters
electrical impedance
adjusting
slopes

Keywords

  • Characterization
  • Circulators
  • Complex gyrator
  • Eigenvalues
  • Nonreciprocal devices

Cite this

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abstract = "The adjustment of the classic three-port circulator involves an in-phase eigen-network and a pair of split counter-rotating ones. The purpose of this paper is to use some recent relationships to experimentally extract the split susceptances of the counter-rotating immittances and the susceptance slope parameter of the junction by having recourse to a one-port measurement of its complex gyrator circuit. This is done under the assumption that the in-phase eigen-network of the junction may be idealized by an electric wall. The split frequencies of the counter-rotating eigen-networks of the circulator may also be deduced from this characterization and are in good agreement, under the same assumption, with those derived from one-port measurements on a terminated circulator. The latter arrangement does not, however, allow the split susceptances of the counter-rotating eigen-networks to be deduced. {\circledC} 2008 IEEE.",
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Split frequencies and susceptances of the three-port junction circulator from an experimental determination of the complex gyrator circuit. / Helszajn, Joseph; Sharp, John; McKay, Mark.

In: IEEE Transactions on Microwave Theory and Techniques, Vol. 56, No. 10, 4623147, 10.2008, p. 2213-2220.

Research output: Contribution to journalArticle

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AB - The adjustment of the classic three-port circulator involves an in-phase eigen-network and a pair of split counter-rotating ones. The purpose of this paper is to use some recent relationships to experimentally extract the split susceptances of the counter-rotating immittances and the susceptance slope parameter of the junction by having recourse to a one-port measurement of its complex gyrator circuit. This is done under the assumption that the in-phase eigen-network of the junction may be idealized by an electric wall. The split frequencies of the counter-rotating eigen-networks of the circulator may also be deduced from this characterization and are in good agreement, under the same assumption, with those derived from one-port measurements on a terminated circulator. The latter arrangement does not, however, allow the split susceptances of the counter-rotating eigen-networks to be deduced. © 2008 IEEE.

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