Abstract
The problem of beam interaction with an irregular waveguide is of considerable interest for high-power microwave electronics. Since the waveguides used there have a diameter much greater than the operational wavelength, and the shape of the irregularities is close to a rectangular one, a planar model of a waveguide with a piecewise constant cross-section is quite reasonable. Due to the strong dependence of the output power and the operational frequency on the mode conversion effects caused by the irregularities, it is very desirable to have an accurate and flexible mathematical model for their analysis.
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