电子束在周期场中的稳定性

本文讨论了强流电子束通过周期性静电场和静磁场的稳定性。说明了圆柱形电子束通过简谐电磁场和周期性非简谐场例如锯齿形,矩形,等腰梯形等静电场的稳定和不稳定区域。将各种场的主要不稳定区进行比较,表明锯齿形场的主要不稳定区宽度最小。指出当空间电荷效应不可略去时,电子束在稳定区内并不是无条件稳定而是有条件稳定的。这与空间电荷电流大小以及电子束的振幅有关。

THE STABILITY OF ELECTRON BEAM VIA THE PERIODIC FIELDS

The stability of intense electron beam via the periodic static electric and magnetic fields is discussed. The stability and instability regions of cylindrical electron beam through periodic harmonic electromagnetic field and periodic anharmonic fields in sawtooth, square, and trapezoid forms are given. Compared with the major instability regions of the various fields, the instability region of the saw-tooth form is smaller than others.When space charge effect is appreciable, the electron beam in the stable region is conditionally rather than unconditionally stable. It is dependent on the intensity of the space-charge current and the amplitude of the eletron beam.