%0 Journal Article
%T The chaotic character of ion relaxation oscillation in microwave tubes<br>微波管中离子张弛振荡的混沌现象
%A Gong Hua-Rong
%A Gong Yu-Bin
%A Tang Chang-Jian
%A Wang Wen-Xiang
%A Wei Yan-Yu
%A Huang Min-Zhi
%A <br>巩华荣
%A 宫玉彬
%A 唐昌建
%A 王文祥
%A 魏彦玉
%A 黄民智
%J 物理学报
%D 2005
%I 
%X 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 using 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 the power spectrum; the phase diagram and Lyapunov exponent are restructured. From the analysis results we find that the ion relaxation oscillation has a chaotic character. The reason of chaos was attributed to the dissipative Structure of the system. This would be useful for depressing relaxation oscillation and processing signals with relaxation oscillation noise.
%K relaxation oscillation
%K particle-in-cell
%K microwave tube
%K chaos<br>张弛振荡，
%K 粒子模拟，
%K 微波管，
%K 混沌
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=A104EAA6543CC425&yid=2DD7160C83D0ACED&vid=318E4CC20AED4940&iid=CA4FD0336C81A37A&sid=BA79719BCA7341D5&eid=D5C9DC4EF2F78008&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=9