TELECOMMUNICATIONS AND RADIO ENGINEERING - 2009 Vol. 68,
No 16 		 

 

 

 

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

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
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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pages 1399-1410

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