The Lost “Second Lorentz Theorem” in the Phasor Domain
I.V. Petrusenko and Yu.K. Sirenko
A. Usikov Institute of Radio Physics and Electronics,
National Academy of Sciences of Ukraine
12, Academician Proskura St., Kharkiv 61085, Ukraine
Abstract
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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