Abstract. A new method of solving the waveguide problem for waveguide partially filled with semiconductor plasma is proposed. This method is valid for cases when the transverse wavenumber is zero and it is an addition to the well-known methods. Useful effects for the aims of powerful electronics are shown. The paper makes the conclusion that waveguide with semiconductor sleeve is significantly more perspective than the waveguide with semiconductor column for effective interaction between waveguide eigenmodes and relativistic electron beam.

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