The linear and nonlinear analysis of backward wave oscillator (BWO) and multiwave Cerenkov generator (MCG) high power microwave (HPM) sources require accurate calculation of quantities that can be derived from the fields of the empty slow-wave structure modes. An efficient accurate method is presented to calculate the TM$-0n$/ modes and fields in a corrugated cylindrical waveguide. From the derived field presentation the group velocity, beam-mode coupling coefficient, and scattering matrix for the slow-wave structure termination are calculated and compared with experimental values where possible.
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