Particle-beam approach to collective instabilities--application to space-charge dominated beams
- Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
Nonlinear dynamics deals with parametric resonances and diffusion. The phenomena are usually beam-intensity independent and rely on a particle Hamiltonian. Collective instabilities deal with beam coherent motion, where the Vlasov equation is frequently used in conjunction with a beam-intensity dependent Hamiltonian. We address the questions: Are the two descriptions the same? Are collective instabilities the results of encountering parametric resonances whose driving force is intensity dependent? We study here the example of a space-charge dominated beam governed by the Kapchinskij-Vladimirskij (K-V) envelope equation. The stability and instability regions as functions of tune depression and envelope mismatch are compared in the two approaches. The study has been restricted to the simple example of a uniformly focusing channel.
- OSTI ID:
- 21205337
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 468; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Particle-beam approach to collective instabilities[emdash]application to space-charge dominated beams
Collective instabilities and halo formation of space-charge dominated beams in a particle beam nonlinear-dynamics approach