A method for calculating longitudinal phase space distribution when given the time profile of the bunch

Tan, Cheng-Yang

Fermi National Accelerator Laboratory

关键词: Phase Space;    43 Particle Accelerators;    Beam Bunching;    Beam Monitors;    Calculation Methods;   

DOI  :  10.2172/783681
RP-ID  :  FERMILAB-TM-2155
RP-ID  :  AC02-76CH03000
RP-ID  :  783681

美国|英语

来源: UNT Digital Library

【 摘 要 】

We will show in this paper a method for calculating the longitudinal phase space distribution when the time profile of the bunch as measured by a wall current monitor is given. The key to this method is the assumption that the bunch is matched to the bucket. With this assumption, we will show that the method boils down to solving a simple upper triangular matrix equation. We will also illustrate the method with two examples and show the method's shortcomings.