Space charge dominated beams in synchrotrons and linac

Journal Article · Sun Nov 01 04:00:00 EST 1998 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.56762· OSTI ID:321929

Lee, S Y ^[1]

---

1. Department of Physics, Indiana University, Bloomington, Indiana 47405 (United States)

We employ the Kapchinskij-Vladimirskij envelope Hamiltonian to describe the envelope evolution, and the particle Hamiltonian to describe particle motion in a space charge dominated beam. In a uniform focusing channel, particle motion can encounter parametric resonances arising from the envelope oscillations of a mismatched beam. Large amplitude envelope oscillation can cause global chaos near the vicinity of the beam core, and lead to enhanced halo formation. In a periodic focusing channel, enhancement of halo formation may also arise from structure resonances, i.e. envelope-lattice and particle-lattice resonances. The onset of global chaos exhibits a first order phase transition like behavior when the amplitude of envelope oscillations for a mismatched beam is larger than a critical value. The equations of motion for space charge dominated beams in synchrotron are derived. We find that the space charge force generates an identical defocusing function to the betatron motion and dispersion function. The self-consistent envelope equation obeys the Kapchinskij-Vladimirskij type equation similar to that of the linear transport system. We employ these results to analyze the stability of crystalline beams, and discuss the implication on the high intensity proton driver for the neutron spallation sources. Possible experiments are suggested. {copyright} {ital 1998 American Institute of Physics.}

• Sponsoring Organization: USDOE
• DOE Contract Number: FG02-92ER40747
• OSTI ID: 321929
• Report Number(s): CONF-980567--
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 448; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
EQUATIONS OF MOTION
HAMILTONIAN FUNCTION
LINEAR ACCELERATORS
SPACE CHARGE
STABILITY
SYNCHROTRONS