奥比管的简化理论-《深圳大学学报理工版》

文章信息/Info

Author(s):: Ouyang Zhengbiao; Department of Applied Physics, Shenzhen University

Keywords:: Obitron; Resonance Interaction; Single Particle Theory; Linear Growth Rate

摘要:: 本文给出了关于奥比管的简化单粒子理论,得到了奥比管中电子与腔场发生谐振互作用时的高频腔场的线性增长率公式.研究发现,该增长率与电子的径向振荡运动量的傅里叶展开式中的相应的谐振项的系数成正比,而与展开式中的其它非谐振项无关.另外发现,在腔中的电子总数不变的情况下,当电子数沿轴向呈周期性分布时,该增长率的取值较大.本文的理论解释了利用物理模型难以直接解释的一类实验现象.

Abstract:: A simple single particle theory of obitrons is presented in this paper, Linear growth rate of the cavity fields is obtained for resonance interactions between the cavity fields and the n-th harmonic of the radial oscillation of electrons. It is found out that the linear growth rate is proportianal to the n-th Fourier expanding coefficients of the radial motion parameters of the oscillating electrons. It is also found out that，for a certain total number of electrons in the system，the linear growth rate for the case of axial periodic distribution of electrons is larger than that for other cases, The theory gives a simple explanation of a kind of experimental obitron phenomena which is difficult to be explained directly from physical models。