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Analytical formulae for the wakefields produced by the nonrelativistic charged particles in periodic disk-loaded structures

机译:周期性圆盘加载结构中非相对论性带电粒子产生的尾流场的解析公式

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In this paper we consider the wakefields induced in periodic disk-loaded cavities by charged particles. In the frequency domain the particle velocity dependent wakefields can be calculated by generalizing the analytical formulae. The physical picture of this effect can be drawn such that the frequencies of the excited modes in the cavities felt by the particles are increased by a factor of 1//spl beta/ (/spl beta/ is the normalized particle velocity). Some examples are given to demonstrate the utility of these formulae in obtaining the quantities, such as loss factors, short range and long range wakefields as functions of cavity dimension, bunch length, and particle velocity.
机译:在本文中,我们考虑带电粒子在周期性磁盘加载腔中诱发的尾波场。在频域中,可以通过推广解析公式来计算与粒子速度有关的尾流场。可以绘制这种效果的物理图,以使粒子感觉到的腔中激发模态的频率增加1 // spl beta /(/ spl beta /是归一化的粒子速度)。给出了一些例子来证明这些公式在获得数量方面的效用,例如损耗因子,短程和长程尾流场与腔尺寸,束长度和粒子速度的函数。

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