TL;DR
This paper analyzes the interaction between beam and cavity in RF systems, deriving impedance expressions and discussing methods for beam-loading compensation, including digital control and phase damping techniques.
Contribution
It introduces a comprehensive framework for understanding and compensating beam loading in RF cavities, including novel digital control approaches for superconducting cavities.
Findings
Derived cavity impedance expressions considering beam loading and detuning
Described effective beam-loading compensation methods
Presented digital RF control techniques for superconducting cavities
Abstract
We begin by giving a description of the rf 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, rf feedback, and feed-forward are described. Examples of digital rf 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