Title :
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
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;
Conference_Titel :
Particle Accelerator Conference, 2003. PAC 2003. Proceedings of the
Print_ISBN :
0-7803-7738-9
DOI :
10.1109/PAC.2003.1289212
