Title :
Analytical formulae for the wakefields produced by the nonrelativistic charged particles in periodic disk-loaded structures
Author_Institution :
Lab. de l´´Accel. Lineaire, Orsay, France
Abstract :
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/β (β 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
Keywords :
accelerator cavities; accelerator magnets; collective accelerators; particle beam bunching; particle beam dynamics; particle beam stability; superconducting magnets; wakefield accelerators; accelerating structures; analytical formulae; bunch length; cavity dimension; excited modes; frequency domain; high power linear accelerators; long range wakefields; loss factors; nonrelativistic charged particles; particle velocity dependent wakefields; periodic disk-loaded cavities; periodic disk-loaded structures; short range wakefields; superconducting linac; wakefield induced instabilities; wakefields; Acceleration; Cooling; Frequency domain analysis; Ionization; Linear accelerators; Linear particle accelerator; Muon colliders; Particle production; Periodic structures; Protons;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.987979
