Particle-beam approach to collective instabilities[emdash]application to space-charge dominated beams

Conference · Thu Apr 01 00:00:00 EST 1999 · AIP Conference Proceedings

OSTI ID:6162330

Ng, K Y ^[1]; Lee, S Y ^[2]

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1. Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
2. Physics Department, Indiana University, Bloomington, Indiana 47405 (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 [1]. 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. [copyright] [ital 1999 American Institute of Physics.]

• OSTI ID: 6162330
• Report Number(s): CONF-980984-; CODEN: APCPCS
• Journal Information: AIP Conference Proceedings, Vol. 468:1; Conference: 16. advanced ICFA beam dynamics workshop on nonlinear and collective phenomena in beam physics, Arcidosso (Italy), 1-5 Sep 1998; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
BOLTZMANN-VLASOV EQUATION
COLLECTIVE ACCELERATORS
HAMILTONIAN FUNCTION
INSTABILITY
NONLINEAR PROBLEMS
SPACE CHARGE
TUNING
ACCELERATORS
BOLTZMANN EQUATION
EQUATIONS
FUNCTIONS
INTEGRO-DIFFERENTIAL EQUATIONS
KINETIC EQUATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics