Plural interactions of space charge wave harmonics during the development of two-stream instability  

作　　者：Victor Kulish Alexander Lysenko Michael Rombovsky Vitaliy Koval Iurii Volk 

机构地区：[1]National Aviation University,Department of Theoretical Physics [2]Sumy State University,Department of General and Theoretical Physics

出　　处：《Chinese Physics B》2015年第9期332-336,共5页中国物理B（英文版）

摘　　要：We construct a cubically nonlinear theory of plural interactions between harmonics of the growing space charge wave（SCW） during the development of the two-stream instability. It is shown that the SCW with a wide frequency spectrum is formed when the frequency of the first SCW harmonic is much lower than the critical frequency of the two-stream instability.Such SCW has part of the spectrum in which higher harmonics have higher amplitudes. We analyze the dynamics of the plural harmonic interactions of the growing SCW and define the saturation harmonic levels. We find the mechanisms of forming the multiharmonic SCW for the waves with frequencies lower than the critical frequency and for the waves with frequencies that exceed the critical frequency.We construct a cubically nonlinear theory of plural interactions between harmonics of the growing space charge wave（SCW） during the development of the two-stream instability. It is shown that the SCW with a wide frequency spectrum is formed when the frequency of the first SCW harmonic is much lower than the critical frequency of the two-stream instability.Such SCW has part of the spectrum in which higher harmonics have higher amplitudes. We analyze the dynamics of the plural harmonic interactions of the growing SCW and define the saturation harmonic levels. We find the mechanisms of forming the multiharmonic SCW for the waves with frequencies lower than the critical frequency and for the waves with frequencies that exceed the critical frequency.

关 键 词：two-stream instability three-wave parametric resonances space charge wave free-electron laser 

分 类 号：TN248[电子电信—物理电子学]