Synchrotron beam-loading stability with a higher RF harmonic

Author

Wang, Tai-Sen F.

Author_Institution

Los Alamos Nat. Lab., NM, USA

fYear

1993

fDate

17-20 May 1993

Firstpage

3500

Abstract

This work extends Robinson´s stability studies (1956) to include a higher RF harmonic. Using an equivalent circuit model, the stability of the “0-mode” coherent dipole oscillation of bunched beams is studied for synchrotrons or storage rings with RF systems operated at the fundamental and a higher harmonic, i.e., a second or third harmonic. Analytical expressions of the stability criteria are derived from the linearized circuit equations. Numerical solutions of the fully nonlinear equations are provided to compare with the analytical results. A simple feedback model for stabilization is discussed

Keywords

nonlinear equations; particle beam diagnostics; storage rings; synchrotrons; bunched beams; coherent dipole oscillation; equivalent circuit model; feedback model; fully nonlinear equations; higher RF harmonic; second harmonic; stability criteria; stabilization; storage rings; synchrotron beam-loading stability; synchrotrons; third harmonic; Circuit stability; Equivalent circuits; Laboratories; Nonlinear equations; Power system modeling; Radio frequency; Steady-state; Storage rings; Synchrotrons; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1993., Proceedings of the 1993

Conference_Location

Washington, DC

Print_ISBN

0-7803-1203-1

Type

conf

DOI

10.1109/PAC.1993.309697

Filename

309697