Analytical study of envelope modes for a fully depressed beam in solenoidal and quadrupole periodic transport channels

Author

Bukh, Boris ; Lund, Steven M.

Author_Institution

Lawrence Berkeley Nat. Lab., CA, USA

Volume

4

fYear

2003

fDate

12-16 May 2003

Firstpage

2631

Abstract

We present an analysis of envelope perturbations evolving in the limit of a fully space-charge depressed (zero emittance) beam in periodic, thin-lens focusing channels. Both periodic solenoidal and FODO quadrupole focusing channels are analyzed. The phase advance and growth rate of normal mode perturbations are analytically calculated as a function of the undepressed particle phase advance to characterize the evolution of envelope perturbations.

Keywords

accelerator magnets; ion accelerators; particle beam diagnostics; particle beam dynamics; particle beam focusing; perturbation theory; space charge; FODO quadrupole focusing channels; envelope modes; envelope perturbations; normal mode perturbations; quadrupole periodic transport channels; solenoidal periodic transport channels; space-charge depressed beam; thin-lens focusing channels; undepressed particle phase advance; zero emittance beam; Difference equations; Jacobian matrices; Laboratories; Lattices; Lenses; Linear particle accelerator; Particle beams; Solenoids;

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.2003.1289212

Filename

1289212