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

ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v68.i7.10
pages 555-560

The Lost “Second Lorentz Theorem” in the Phasor Domain

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

ABSTRAKT

The fundamental relationship of complex conjugate phasors is analyzed for two independent sources of a time harmonic field in comparison with the well-known reciprocity theorem, the Lorentz lemma and the reaction theorem. It has been shown that this relationship in the case of isotropic lossless medium yields a complementary reciprocity theorem, whereas in the specific case of a bianisotropic medium it determines the "pseudo-reciprocity" property. This universal law seems to be useful in the theory of guided waves, antenna theory, etc.


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