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

ISSN Imprimir: 0040-2508
ISSN En Línea: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v72.i5.10
pages 369-384

GENERALIZED MODE-MATCHING TECHNIQUE IN THE THEORY OF GUIDED WAVE DIFFRACTION. PART 1: FRESNEL FORMULAS FOR SCATTERING OPERATORS

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

SINOPSIS

A generalization of the conventional mode-matching technique corresponding to a new formulation of the problem of wave diffraction by waveguide discontinuities is presented. The matrix-operator formalism used in the study for the modal analysis is briefly described. Fresnel formulas are derived for the sought-for operators of mode reflection and transmission in the canonical problem of step discontinuity in the guide. The correctness of the found matrix-operator model is proved analytically. It is shown that the obtained results are valid for a wide class of scalar problems of wave diffraction by step-like discontinuities in the waveguide. The developed generalization of the mode-matching technique is intended for efficient and rigorous analysis of waveguide units and microwave devices.


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