Nonlinear theory of relativistic TWT with a slowing system in the form of arbitrary irregular waveguide

On the basis of general excitation equations for the longitudinally-irregular circular waveguide, the electrodynamic theory of the relativistic TWT with a longitudinally-irregular corrugated waveguide for the one-harmonic regime, have been formulated. This mathematical model allows the solution of the problem of optimization of the profile of the waveguide for reaching maximum efficiency of the E ₀₁-mode TWT in the one-harmonic regime. However, because the nonlinearity of processes of interaction in the TWT and the formation of higher harmonies of the input signal (mω)) in electron beam, E₀₁, and E_0j-modes may excite at mω. This factor must be take into account in a more complete mathematical model of nonlinear processes of interaction in the TWT with an irregular slowing system. On the basis this model, the amplitude and phase-frequency performances of optimal variants of the relativistic TWT with regular or irregular electrodynamic system may be investigation