%0 Journal Article %A Petrusenko, I. V. %A Sirenko, Yuriy %D 2013 %I Begell House %K mode-matching technique, Cayley transformation, Fresnel formulas, scattering operator %N 5 %P 369-384 %R 10.1615/TelecomRadEng.v72.i5.10 %T GENERALIZED MODE-MATCHING TECHNIQUE IN THE THEORY OF GUIDED WAVE DIFFRACTION. PART 1: FRESNEL FORMULAS FOR SCATTERING OPERATORS %U https://www.dl.begellhouse.com/journals/0632a9d54950b268,53b44722014ca134,433cc9cd18548b88.html %V 72 %X 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. %8 2013-04-10