Fokker-Planck simulations of bunched beams: high-Q rf modes and response functions

Author

Towne, N.

Author_Institution

Nat. Synchrotron Light Source, Brookhaven Nat. Lab., Upton, NY, USA

Volume

4

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

3021

Abstract

A computer code was developed to extend the method of Warnock and Ellison (1999) for integrating the nonlinear Vlasov-Fokker-Planck equation for bunched beams (The 2nd ICFA Advanced Accelerator Workshop on the Physics of High Brightness Beams, 1999). The code handles arbitrary radio-frequency potentials and high-Q impedances and is used to study instabilities in stretched bunches. This paper describes how high-Q resonant rf modes are incorporated into the code. A method by which this time-domain code is used to calculate beam response functions, which are response functions that include the beam acting back on itself through the ring impedance, is also described and applied to stretched bunches

Keywords

Fokker-Planck equation; Vlasov equation; particle beam bunching; particle beam stability; Fokker-Planck simulation; bunched beams; high-Q; high-Q impedance; nonlinear Vlasov-Fokker-Planck equation; radio-frequency potentials; response functions; rf modes; stretched bunches; time-domain code; Computational modeling; Fourier transforms; Impedance; Light sources; Particle beams; Radio frequency; Resonance; Synchrotrons; Time domain analysis; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001

Print_ISBN

0-7803-7191-7

Type

conf

DOI

10.1109/PAC.2001.987991

Filename

987991