Stochastic Cooling of Particle Beams
By: by Dieter Möhl
Contributors: SpringerLink (Online service)
Series: Lecture Notes in Physics -- 866
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 139
ISBN-13: 9783642349799
Subjects: Beam Physics Particle Acceleration and Detection; Measurement Science and Instrumentation; Electrical engineering; Physics; Computer engineering; Particle acceleration
Description: <p>This lecture note describes the main analytical approaches to stochastic cooling. The first is the time-domain picture, in which the beam is rapidly sampled at a high rate and a statistical analysis is used to describe the cooling behaviour. The second is the frequency-domain picture, which is particularly useful since the observations made on the beam and the numerical cooling simulations are mainly in this domain. This second picture is developed in detail to assess key components of modern cooling theory like mixing and signal shielding and to illustrate some of the diagnostic methods. Finally the use of a distribution function and the Fokker-Plank equation, which offer the most complete description of the beam during the cooling, are discussed.</p>
Table of contents: title: <p>Foreword; title: Introduction; title: Simplified Theory, Time-domain Picture; title: Pickup and Kicker Impedance; title: Frequency-domain Picture; title: A More Detailed Derivation of Betatron and Filter Cooling (Frequency-Domain Picture); title: Feedback via the Beam and Signal Shielding; title: The Distribution Function and Fokker-Planck Equations; title: Some Special Applications; title: References; title: Glossary.</p>.