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Introduction to Longitudinal Beam Dynamics

Abstract

This chapter gives an overview of the longitudinal dynamics of the particles in an accelerator and, closely related to that, the issue of synchronization between the particles and the accelerating field. Beginning with the trivial case of electrostatic accelerators, the synchronization condition is explained for a number of driven accelerators like Alvarez linacs, cyclotrons and finally synchrotrons and storage rings, where it plays a crucial role. In the case of the latter, the principle of phase focusing is motivated qualitatively as well as on a mathematically more correct level and the problem of operation below and above the transition energy is discussed. Throughout, the main emphasis is more on physical understanding rather than on a mathematically rigorous treatment.
Authors:
Holzer, B J [1] 
  1. European Organization for Nuclear Research, Geneva (Switzerland)
Publication Date:
Jul 01, 2014
Product Type:
Conference
Report Number:
CERN-2014/005
Resource Relation:
Conference: CAS - CERN Accelerator School: Course on Superconductivity for Accelerators, Erice (Italy), 24 Apr - 4 May 2013; Other Information: Country of input: International Atomic Energy Agency (IAEA); DOI: 10.5170/CERN-2013-007.47; Copyright (c) 2014 CERN; This is an open access publication distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.; Related Information: In: Proceedings of CAS - CERN Accelerator School: Course on Superconductivity for Accelerators| by Bailey, R (ed.) [European Organization for Nuclear Research, Geneva (Switzerland)]| CERN - European Organization for Nuclear Research, Geneva (Switzerland)| 592 p.
Subject:
43 PARTICLE ACCELERATORS; BEAM DYNAMICS; ELECTROSTATIC ACCELERATORS; LINEAR ACCELERATORS; STORAGE RINGS; SYNCHRONIZATION
OSTI ID:
22548672
Research Organizations:
CERN - European Organization for Nuclear Research, Geneva (Switzerland)
Country of Origin:
CERN
Language:
English
Other Identifying Numbers:
Other: ISSN 0007-8328; ISBN 978-92-9083-405-2; TRN: XC16A0448119728
Availability:
Available on-line: http://cds.cern.ch/record/1693322/files/CERN-2014-005-p41.pdf?subformat=pdfa; Available on-line: http://cds.cern.ch/record/1507630/files/CERN-2014-005.pdf
Submitting Site:
INIS
Size:
page(s) 41-56
Announcement Date:
Dec 17, 2016

Citation Formats

Holzer, B J. Introduction to Longitudinal Beam Dynamics. CERN: N. p., 2014. Web.
Holzer, B J. Introduction to Longitudinal Beam Dynamics. CERN.
Holzer, B J. 2014. "Introduction to Longitudinal Beam Dynamics." CERN.
@misc{etde_22548672,
title = {Introduction to Longitudinal Beam Dynamics}
author = {Holzer, B J}
abstractNote = {This chapter gives an overview of the longitudinal dynamics of the particles in an accelerator and, closely related to that, the issue of synchronization between the particles and the accelerating field. Beginning with the trivial case of electrostatic accelerators, the synchronization condition is explained for a number of driven accelerators like Alvarez linacs, cyclotrons and finally synchrotrons and storage rings, where it plays a crucial role. In the case of the latter, the principle of phase focusing is motivated qualitatively as well as on a mathematically more correct level and the problem of operation below and above the transition energy is discussed. Throughout, the main emphasis is more on physical understanding rather than on a mathematically rigorous treatment.}
place = {CERN}
year = {2014}
month = {Jul}
}