Optimization of relativistic TWT and BWO on a basis of the two-dimensional theory

Presented in the paper is two-dimensional theory of relativistic TWT-BWO taking into account cut-off modes. Numerical realization of the theory is based on application of a special method of block matrix prorace for decision of a point-to-point boundary problem for ODE of amplitudes of the connected waves. Optimum variants of the relativistic generator are found and investigated. Attention is paid to absence of conditions of periodicity of the second type (Flocke conditions) in a field of the matched section of periodic irregular waveguide.