A technique to measure chromaticity based on the harmonic analysis of a longitudinally kicked beam

Author

Rumolo, G. ; Tom??s, R.

Author_Institution

Gesellschaft fur Schwerionenforschung mbH, Darmstadt, Germany

Volume

4

fYear

2003

Firstpage

2234

Abstract

Recently a method to measure chromaticity has been proposed by applying a transverse and a longitudinal kick to the beam. Assuming a Gaussian bunch in the 6-dimensional phase space, analytical expressions were derived, which relate the synchrotron sidebands to the machine chromaticity. To assess limitations and extensions of this technique, a more realistic accelerator model is considered including dispersion, transverse nonlinearities and second order chromaticity, which modify the Fourier spectrum. Tracking and analytical studies are performed to describe these effects.

Keywords

Fourier analysis; beam handling techniques; harmonic analysis; particle beam bunching; particle beam diagnostics; synchrotrons; 6-dimensional phase space; Fourier spectrum; Gaussian bunch; accelerator model; dispersion nonlinearity; harmonic analysis; longitudinally kicked beam; machine chromaticity; second order chromaticity; synchrotron sidebands; tracking study; transverse kick; transverse nonlinearities; Equations; Extraterrestrial measurements; Feeds; Frequency measurement; Frequency modulation; Harmonic analysis; Phase measurement; Phase modulation; Radio frequency; Synchrotrons;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 2003. PAC 2003. Proceedings of the

ISSN

1063-3928

Print_ISBN

0-7803-7738-9

Type

conf

DOI

10.1109/PAC.2003.1289076

Filename

1289076