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Contents
Contents
Introduction to the Physics of High Current Ion Beams in Accelerators and Storage Rings
Oliver Boine-Frankenheim
Gesellschaft für Schwerionenforschung GmbH, Darmstadt
SS/2001
Contents
Introduction
Frontiers in Accelerator Physics
Charged Particle Dynamics
Self Fields
Ion Sources, Current Limits and Beam Emittance
Linear Beam Dynamics without Space Charge Fields
Beam particle coordinates
Beam focusing
Periodic Focusing Channel
Liouville's Theorem
The FODO Quadrupole Channel
`Smooth Focusing Approximation'
Momentum Compaction in Circular Machines
`Smooth Focusing' in rf Fields
Resonances in Circular Accelerators
Linear Beam Dynamics with Space Charge Fields
Transverse Space Charge Fields
Transverse Envelope Equations
Beam Envelope Oscillations
Current Limits in Circular Accelerators
Longitudinal Space Charge Fields
Longitudinal Envelope Equation
Self-Consistent Beam Dynamics
Vlasov Equation
Stationary Distributions in a Uniform Focusing Channel
RMS and Effective Emittance
Stationary Longitudinal Distributions
Impedance Concept in Accelerators
Longitudinal Coupling Impedance in Ring Machines
Components of the Total Ring Impedance
Emittance Growth (Advanced Topics)
Sources of Emittance Growth
Longitudinal Waves, Landau Damping and the Resistive Wall Instability
Landau Damping
Vlasov Simulation Technique
Emittance Growth and Beam Halo in Mismatched Beams
About this document ...
Oliver Boine-Frankenheim 2001-07-09
