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

Proceedings of the 9th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2004. DIPED 2004. Pub Date : 2004-12-27 DOI:10.1109/DIPED.2004.242936

E. Belyavskiy, S. Khotiaintsev

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Abstract

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.

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周期性永磁聚焦作用下行波管寄生后向波振荡的非线性模型

本文建立了通用螺旋行波管在永久周期磁聚焦下的寄生后向波振荡的非线性数学模型。该模型考虑了存在于螺旋慢波电路上的电磁波与PPM聚焦场中电子束交变旋转的相互作用。得到了寄生后向波振荡的起振长度和实际起振皮尔斯相对速度参数随PPM聚焦场周期和幅值以及大信号区行波管电学参数的函数表达式。我们证明了电子束在PPM聚焦场中的交变旋转对行波管的稳定性有显著的影响，相对于非线性状态下的寄生后向波振荡，就像它在线性状态下一样。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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