Minimizing dispersion in flexible-momentum-compaction lattices

Journal Article · Fri Oct 01 04:00:00 EDT 1993 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.48.3040· OSTI ID:6091621

Lee, S Y; Ng, K Y; Trbojevic, D ^[1]

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1. Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)

Medium-energy accelerators are often confronted with problems during transition energy crossing, such as longitudinal microwave instability and nonlinear synchrotron motion. These problems can be avoided by an accelerator having a negative momentum-compaction factor. A modular method for designing a lattice with adjustable momentum-compaction factor is presented. The dispersion excursion of the basic flexible momentum compaction module can be minimized to less than the maximum dispersion of the focusing-defocusing (FODO) lattice containing the same FODO cells. The phase advance of the module can be adjusted to be an odd multiple of quarter betatron waves. We found that a lattice composed of such modules possesses excellent chromatic properties with excellent tunability, smaller systematic stop-band widths, and smaller sextupole distortion functions.

• OSTI ID: 6091621
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 48:4; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
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ACCELERATORS
BEAM DYNAMICS
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BETATRON OSCILLATIONS
CYCLIC ACCELERATORS
DAMPING
DISPERSION RELATIONS
FOURIER ANALYSIS
INSTABILITY
LANDAU DAMPING
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SYNCHROTRONS
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