Longitudinal Beam Dynamics in Circular Accelerators
Frank Tecker
TL;DR
This paper introduces the fundamental concepts and equations of longitudinal beam dynamics in circular accelerators, focusing on particle motion in synchrotrons and phase-space matching.
Contribution
It provides a comprehensive overview of longitudinal dynamics, including equations of motion and Hamiltonian formulation, for better understanding of beam behavior in synchrotrons.
Findings
Summarizes equations of motion for longitudinal beam dynamics
Discusses phase-space matching techniques
Introduces Hamiltonian approach to particle motion
Abstract
This paper gives an introduction of longitudinal beam dynamics for circular accelerators. After briefly discussing some types of circular accelerators, it focuses on particle motion in synchrotrons. It summarizes the equations of motion, discusses phase-space matching during beam transfer, and introduces the Hamiltonian of longitudinal motion.
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Taxonomy
TopicsParticle accelerators and beam dynamics · Particle Accelerators and Free-Electron Lasers · Gyrotron and Vacuum Electronics Research