Nonlinear dynamics of microwave instability in accelerators

Journal Article · Thu May 01 04:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.5976· OSTI ID:503671

Stupakov, G V ^[1]; Breizman, B N; Pekker, M S ^[2]

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1. Stanford Linear Accelerator Center, Stanford University, P.O. Box 4349, Stanford, California 94309 (United States)
2. Institute for Fusion Studies, The University of Texas, Austin, Texas 78712 (United States)

We develop a nonlinear theory of the weak single bunch instability in electron and positron circular accelerators and damping rings. A nonlinear equation is derived that governs the evolution of the amplitude of unstable oscillations with account of quantum diffusion effects due to the synchrotron radiation. Numerical solutions to this equation show a large variety of nonlinear regimes depending on the growth rate of the instability and the diffusion coefficient. Comparison with the observation in the Stanford Linear Collider Damping Ring at the Stanford Linear Accelerator Center shows qualitative agreement with the patterns observed in the experiment. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Stanford Linear Accelerator Center
• DOE Contract Number: AC03-76SF00515; FG03-96ER54346
• OSTI ID: 503671
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 55; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
BOLTZMANN-VLASOV EQUATION
CYCLIC ACCELERATORS
CYCLOTRON INSTABILITY
DAMPING
ELECTRON BEAMS
INSTABILITY GROWTH RATES
NONLINEAR PROBLEMS
POSITRON BEAMS
SYNCHROTRON RADIATION