The chaotic character of ion relaxation oscillation in microwave tubes

IVESC 2004. The 5th International Vacuum Electron Sources Conference Proceedings (IEEE Cat. No.04EX839) Pub Date : 2004-09-06 DOI:10.1109/IVESC.2004.1414254

Y. Gong, H. Gong, Wenxiang Wang, Changjian Tang

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Abstract

The noise caused by ion relaxation oscillation becomes a research focus in the field of microwave tubes recently because of the improvement of radars and communications requirements. In this paper, electron beam is described by beam envelope equation, and ions generated from ionization of the background gas in microwave tubes are treated as discrete macro-particles. One dimensional particle-in-cell (PIC) simulation code was developed, and time series of ion relaxation oscillation are obtained by the presented method. The ion relaxation oscillation is treated as the response of a complex nonlinear dynamical system, and the time series is analyzed by power spectrum; restructure phase diagram and Lyapunov exponent. From the analysis results, we find that the ion relaxation oscillation has chaotic character at the first time. The reason of chaos was attributed to the dissipative structure of the system. This would be useful for depressing relaxation oscillation and processing signal with relaxation oscillation noise.

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微波管中离子弛豫振荡的混沌特性

由于雷达和通信要求的提高，离子弛豫振荡引起的噪声成为近年来微波管领域的研究热点。本文用束流包络方程来描述电子束，将微波管内背景气体电离产生的离子视为离散的宏观粒子。开发了一维细胞内粒子(PIC)仿真程序，并利用该方法得到了离子弛豫振荡的时间序列。将离子弛缓振荡视为复杂非线性动力系统的响应，利用功率谱分析时间序列;重构相图和李雅普诺夫指数。从分析结果来看，首次发现离子弛豫振荡具有混沌特征。混沌的原因被归结为系统的耗散结构。这将有助于抑制松弛振荡和用松弛振荡噪声处理信号。

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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IVESC 2004. The 5th International Vacuum Electron Sources Conference Proceedings (IEEE Cat. No.04EX839)

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