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Mathematical Modeling of Electromagnetic Fields in Irregular Waveguide

The problem of matching waveguides of various cross sections with the help of a sectoral horn in quasi-optical waveguide paths is considered. A mathematical model of the system that can be used to minimize energy losses in the path is proposed. The mathematical model is obtained on the basis of the reduction of the Maxwell's equations system with the corresponding boundary conditions to the system of ordinary differential equations by replacing the reference system in which the irregular part of the waveguide system is served regularly, which simplifies the description of the boundary conditions.