Geometrical interpretation of nonlinearities from a cylindrical pick-up
In many accelerators, cylindrical pick-ups are used to measure transverse beam positions. Theoretically, signals from these pick-ups are related to infinite power series of the beam position but, in practice, only finite number of terms are considered and the position measurements degrade when a beam is far from the center of a pick-up. This paper shows there is actually a simple geometrical relation between a beam position and induced signals. With help of the geometrical relation, the beam position can be written in a compact function of signals. The paper is concluded with numerical simulations and a test to show this geometry based expression can calculate a beam position better than the conventional methods.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 922015
- Report Number(s):
- FERMILAB-CONF-07-337-AD-APC
- Journal Information:
- Conf.Proc.C070625:3862,2007, Journal Name: Conf.Proc.C070625:3862,2007
- Country of Publication:
- United States
- Language:
- English
Similar Records
Geometrical interpretation of nonlinearities from a cylindrical pick-up
Solar energy pick-up