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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Imprimer: 0040-2508
ISSN En ligne: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v68.i16.10
pages 1399-1410

Generalization of the Power Conservation Law for Scalar Mode-Diffraction Problems

I. V. Petrusenko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine; University of Customs Affair and Finances, 8, Rogaleva St., Dnepropetrovsk 49000, Ukraine
Yurii Konstantinovich Sirenko
O.Ya. Usikov Institute for Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkiv 61085, Ukraine; V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv 61022, Ukraine; L.N. Gumilyov Eurasian National University, 2, Satpayev St., Astana 010008, Republic of Kazakhstan

RÉSUMÉ

A complete form of the generalized power conservation law for the problem of mode diffraction in the lossless multi-port H - ( E -) plane waveguide transformer has been obtained. The generalization has been accomplished by the use of the second Lorentz lemma in addition to the theorem of complex power. Some new equivalent forms of this law have been used to establish the fundamental properties of the scattering matrices. Operator matrix forms of the energy-conservation statement in the case of abrupt discontinuity are presented. The obtained results are intended for application in the analytic-numerical methods based on the modal analysis.


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