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

摘要

In this paper we consider the wakefields induced in periodic disk-loaded cavities by charged particles of their velocities less than that of light. In frequency domain the particle velocity dependent wakefields can be calculated by generalizing the analytical formulae given in ref. 1. The physical picture of this effect can be drawn as that the frequencies of the excited modes in cavities felt by the particles are increased by a factor of 1/β (β is the normalized particle's 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.