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Telecommunications and Radio Engineering

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

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v70.i9.10
pages 749-758


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; L.N. Gumilyov Eurasian National University, 2, Satpayev St., Astana 010008, Republic of Kazakhstan


For the scalar problem of mode diffraction on the abrupt waveguide discontinuity the Fresnel formulae for the reflection and transmission matrix operators are derived using the mode-marching technique. This generalized form of the matrix model is an immediate corollary of the proposed new statement of the problem. Making use of the energy conservation law in operator form, the correctness of the obtained Fresnel formulae for the scattering operators is proved analytically. Thus, the developed approach makes it possible to substantiate completely the widely used mode-matching technique for the class of diffraction problems under consideration.


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