I. N. Danilov – Ph.D. (Eng.), Senior Research Scientist, Branch FSUE RFNC VNIIEF «Measuring System Research Institute n.a. Yu.Ye. Sedakov» (Nizhny Novgorod) E-mail: danilovn@yandex.ru

V. K. Maistrenko – Ph.D. (Eng.), Associate Professor of Department of Physics and Technology of Optical Communication,

Nizhny Novgorod State Technical University n.a. R.E. Alekseev

N. A. Novoselova – Ph.D. (Eng.), Associate Professor of Department of Physics and Technology of Optical Communication,

Nizhny Novgorod State Technical University n.a. R.E. Alekseev

S. B. Raevskij – Honored Scientist of RF, Dr.Sc. (Eng.), Professor of Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev

The method for solving internal diffraction problems of electromagnetic waves in irregular sections of shielded waveguides has been proposed. The method makes it possible to calculate the spectra of waveguide waves, the screening surface of which is described by the analytic function of the longitudinal coordinate. In essence, it (the method) is a method of integral equations obtained in purely physical formulations based on the integral notation of the Lorentz lemma. The advantage of the method is invariance of the algorithms obtained on its basis with respect to the location of the auxiliary sources, which makes it possible to simply algebraize the integral equations, in particular, to apply a procedure of the Galerkin type. Effectiveness of the method has been demonstrated on the problem of calculating the transmission characteristics of smooth transitions between two rectangular waveguides of different cross sections.

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