Energy-based parameterization of accelerating-mode dynamics

TL;DR

This paper introduces an energy-based parameterization method for accelerating-mode dynamics in cavities, simplifying analysis and avoiding confusion associated with traditional equivalent-circuit models.

Contribution

It presents a novel energy-focused parameterization and normalization approach, improving clarity and understanding of accelerating-mode cavity dynamics.

Findings

Provides a clearer, energy-based framework for cavity dynamics

Simplifies analysis with normalization and phasor diagrams

Avoids confusion from equivalent-circuit parameterization

Abstract

We propose a parameterization of the accelerating-mode dynamics of accelerating cavities in terms of energy, power, and current. This parameterization avoids many confusing features of the popular equivalent-circuit-based parameterization where a fictitious generator current is introduced. To further simplify analysis and understanding of the accelerating-mode dynamics we also propose a convenient normalization and use phasor diagrams for illustrations.