You need JavaScript to view this

Introduction to Transverse Beam Dynamics

Abstract

In this chapter we give an introduction to the transverse dynamics of the particles in a synchrotron or storage ring. The emphasis is more on qualitative understanding rather than on mathematical correctness, and a number of simulations are used to demonstrate the physical behaviour of the particles. Starting from the basic principles of how to design the geometry of the ring, we review the transverse motion of the particles, motivate the equation of motion, and show the solutions for typical storage ring elements. Following the usual treatment in the literature, we present a second way to describe the particle beam, using the concept of the emittance of the particle ensemble and the beta function, which reflects the overall focusing properties of the ring. The adiabatic shrinking due to Liouville's theorem is discussed as well as dispersive effects in the most simple case.
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-2013-007.27; 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; CERN; DESIGN; EQUATIONS OF MOTION; PARTICLE BEAMS; STORAGE RINGS; SYNCHROTRONS
OSTI ID:
22548671
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: XC16A0447119727
Availability:
Available on-line: http://cds.cern.ch/record/1693320/files/CERN-2014-005-p21.pdf?subformat=pdfa; Available on-line: http://cds.cern.ch/record/1507630/files/CERN-2014-005.pdf
Submitting Site:
INIS
Size:
page(s) 21-40
Announcement Date:
Dec 17, 2016

Citation Formats

Holzer, B J. Introduction to Transverse Beam Dynamics. CERN: N. p., 2014. Web.
Holzer, B J. Introduction to Transverse Beam Dynamics. CERN.
Holzer, B J. 2014. "Introduction to Transverse Beam Dynamics." CERN.
@misc{etde_22548671,
title = {Introduction to Transverse Beam Dynamics}
author = {Holzer, B J}
abstractNote = {In this chapter we give an introduction to the transverse dynamics of the particles in a synchrotron or storage ring. The emphasis is more on qualitative understanding rather than on mathematical correctness, and a number of simulations are used to demonstrate the physical behaviour of the particles. Starting from the basic principles of how to design the geometry of the ring, we review the transverse motion of the particles, motivate the equation of motion, and show the solutions for typical storage ring elements. Following the usual treatment in the literature, we present a second way to describe the particle beam, using the concept of the emittance of the particle ensemble and the beta function, which reflects the overall focusing properties of the ring. The adiabatic shrinking due to Liouville's theorem is discussed as well as dispersive effects in the most simple case.}
place = {CERN}
year = {2014}
month = {Jul}
}