Title :
Hamiltonian formalism for space charge dominated beams in a uniform focusing channel
Author :
Riabko, A. ; Ellison, M. ; Kang, X. ; Lee, S.Y. ; Liu, J.Y. ; Li, D. ; Pei, A. ; Wang, L.
Author_Institution :
Dept. of Phys., Indiana Univ., Bloomington, IN, USA
Abstract :
Halo formation for a test particle in a mismatched KV beam is studied. Parametric resonances of the particle Hamiltonian due to envelope modulation are studied with particular emphasis on period 2 resonance which plays dominant role in halo formation. It is shown that the onset of global chaos exhibits a sharp transition when the amplitude of modulation is larger than a critical value which is a function of a single parameter, κ, i.e., the ratio of the space charge perveance to the focusing strength
Keywords :
chaos; particle beam focusing; space charge; Hamiltonian formalism; critical value; envelope modulation; focusing strength; global chaos; halo formation; mismatched KV beam; parametric resonances; period 2 resonance; sharp transition; space charge dominated beams; space charge perveance; test particle; uniform focusing channel; Amplitude modulation; Brightness; Chaos; Equations; Ion sources; Particle beams; Physics; Resonance; Space charge; Testing;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505822
