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Nonlinear model of the parasitic backward-wave oscillation in the traveling wave tube under periodic permanent magnetic focusing

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2 Author(s)
Belyavskiy, E.D. ; Fac. of Electron., Nat. Tech. Univ. of Ukraine, Kiev, Ukraine ; Khotiaintsev, S.N.

We present a mathematical nonlinear model of the parasitic backward-wave oscillation in the generic helix TWT under permanent periodic magnetic (PPM) focusing. The model accounts for the interaction of the electromagnetic wave existing on the helix slow-wave circuit and the electron beam alternating rotation in the PPM focusing field. We obtain an equation system, which permits us to find the start-oscillation length of the parasitic backward-wave oscillation and real starting Pierce's relative velocity parameter as functions of the PPM focusing field period and amplitude, and the electrical parameters of the TWT in the large-signal regime. We show that the electron beam alternating rotation in the PPM focusing field has a significant effect on the TWT stability with respect to the parasitic backward-wave oscillation in the nonlinear regime, as it has in the linear one.

Published in:

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2004. DIPED 2004. Proceedings of the 9th International Seminar/Workshop on

Date of Conference:

11-14 Oct. 2004