TL;DR
This paper analyzes the coupled RF system in particle accelerators, deriving impedance expressions and discussing compensation methods like detuning and feedback, with examples for superconducting cavities and damping oscillations.
Contribution
It provides a comprehensive description of beam loading effects, impedance calculations, and control techniques including digital RF control and phase loops.
Findings
Derived impedance expressions considering beam loading and detuning
Described RF feedback and feedforward compensation methods
Presented digital control examples for superconducting cavities
Abstract
We begin by giving a description of the radio-frequency generator-cavity-beam coupled system in terms of basic quantities. Taking beam loading and cavity detuning into account, expressions for the cavity impedance as seen by the generator and as seen by the beam are derived. Subsequently methods of beam-loading compensation by cavity detuning, radio-frequency feedback and feedforward are described. Examples of digital radio-frequency phase and amplitude control for the special case of superconducting cavities are also given. Finally, a dedicated phase loop for damping synchrotron oscillations is discussed.
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Taxonomy
TopicsParticle accelerators and beam dynamics · Particle Accelerators and Free-Electron Lasers · Magnetic confinement fusion research