S. M. Garanin - Post-graduate Student of Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev E-mail: physics@nntu.nnov.ru 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 - Dr.Sc. (Eng.), Professor of Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev; Honored Scientist of RF

The method for estimating the characteristics of waves propagating in irregular shielded waveguides has been proposed. At the same time the irregularity can be as a single (discrete) one and a distributed along the entire length of the waveguide one. The method is universal: it is suitable for calculating the transmission characteristics of any irregular areas of the tract. It is important only that this area was described by an analytical function of the longitudinal coordinate. The method is formulated in the approximation of ideal conductivity of the walls of the irregular area of the tract. The generalization of its results to the case of finite conductivity is based on the perturbation method. Waveguides with irregular shielding surface have very varied practical application. They are used when creating the matching con-nections, transducers of wave types, selectors, slow-wave structures for electronic devices and linear accelerators, elementary particle separators, etc. One of the exceptionally common types of irregular waveguides is corrugated waveguides: circular, elliptical, rectangular, etc. Flexibility of corrugated waveguides allows them to be used in aircraft where there\'s a tight limit on the dimensions of the systems in different mobile devices, in the measurement of microwave circuits. Corrugated waveguides can be wound on reels that gives the opportunity to create long wafer paths. The study of peculiarities of propagation of electromagnetic oscillations in irregular waveguides leads to the solution of boundary value problem for Maxwell\'s equations with complicated boundary conditions. In most cases, such a problem does not have an analytical solution, therefore there is the problem of constructing approximate solutions, which are realized, as a rule, numerically. Mathematical methods for studying irregular waveguides depend on the type of irregularity. In the cases when the irregular waveguide is a little different from the regular one, and one manages to highlight any small parameter, it is possible to use asymptotic methods. When the irregular waveguide cannot be considered as a perturbed regular one, you have to find methods to account for the fundamen-tal features of the system.

 

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