Single-beam coherent instabilities in circular accelerators and storage rings
Single-beam coherent instabilities in circular accelerators and storage rings
The theory of the stability of high intensity particle beams in circular accelerators and storage rings is developed. A simple one dimensional oscillator system is used to introduce the discussion of the stability problem and of the effect of a frequency distribution. These results are then extended to the case of a system of particles executing synchrotron and betatron oscillations in a circular accelerator. In the absence of a general solution of the stability problems, it is convenient to introduce a classification of the instabilities, using the characteristic times and lengths of the particle system. This allows us to identify a set of parameters of the particle beam for which one can establish the stability conditions.
- University of North Texas United States
43 Particle Accelerators, Cyclic Accelerators, 430400 -- Particle Accelerators-- Storage Rings, Oscillations, Equations, Beam Dynamics, Boltzmann-Vlasov Equation, Partial Differential Equations, Instability, Impedance, Eigenvalues, Plasma Microinstabilities 430200* -- Particle Accelerators-- Beam Dynamics, Classification, Field Calculations, Differential Equations, Negative Mass Instability, Storage Rings, Synchrotron Oscillations, Plasma Instability, Betatron Oscillations, & Ion Optics, Equations Of Motion, Accelerators
43 Particle Accelerators, Cyclic Accelerators, 430400 -- Particle Accelerators-- Storage Rings, Oscillations, Equations, Beam Dynamics, Boltzmann-Vlasov Equation, Partial Differential Equations, Instability, Impedance, Eigenvalues, Plasma Microinstabilities 430200* -- Particle Accelerators-- Beam Dynamics, Classification, Field Calculations, Differential Equations, Negative Mass Instability, Storage Rings, Synchrotron Oscillations, Plasma Instability, Betatron Oscillations, & Ion Optics, Equations Of Motion, Accelerators
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