Nonlinear and higher-order beam dynamics

Bibliographic Information

Nonlinear and higher-order beam dynamics

Helmut Wiedemann

(Particle accelerator physics, 2)

Springer-Verlag, c1999

2nd ed

  • : pbk.

Available at  / 12 libraries

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Note

Includes bibliographical references and indexes

Description and Table of Contents

Volume

: pbk. ISBN 9783540006725

Description

This two-volume book serves as a thorough introduction to the field of high-energy particle accelerator physics and beam dynamics. Volume 1 provides a general understanding of the field and a firm basis for the study of the more elaborate topic, mainly nonlinear and higher-order beam dynamics, which is the subject of Volume 2.

Table of Contents

Introduction.- Linear Accelerators.- Circular Accelerators.- Charged Particles in Electromagnetic Fields.- Linear Beam Dynamics.- Period Focusing Systems.- Perturbations in Beam Dynamics.- Charged Particle Acceleration.- Synchroton Radiation.- Particle Beam Parameters.- Beam Life Time.- Collective Phenomena.- Beam Emittance and Lattice Design.- Hamiltonian Formulation of Beam Dynamics.- General Electromagnetic Fields.- Dynamics of Coupled Motion.- Higher--Order Perturbations.- Hamiltonian Nonlinear Beam Dynamics.- Charged Particle Acceleration.- Synchrotron Radiation.- Hamiltonian Many-Particle Systems.- Particle Beam Parameters.- Collective Phenomena.- Insertion Device Radiation.
Volume

ISBN 9783540645047

Description

This text continues the discussion of particle accelerator physics beyond the introductory "Particle Accelerator Physics I". It is aimed at students and scientists who plan to work or are working in the field of accelerator physics. Basic principles of beam dynamics already discussed in Vol I are expanded into the nonlinear regime in order to tackle fundamental problems encountered in present-day accelerator design and development. Non-linear dynamics is discussed both for the transverse phase space to determine chromatic and geometric aberrations which limit the dynamic aperture as well as for the longitude phase space in connection with phase focusing at very small values of the momentum compaction. Effects derived theoretically are compared with observations made at existing accelerators.

Table of Contents

  • Hamiltonian formulation of beam dynamics
  • general electromagnetic fields
  • dynamics of coupled motion
  • higher order perturbations
  • Hamiltonian non-linear beam dynamics
  • charged particle acceleration
  • synchrotron radiation
  • Hamiltonian many particle systems
  • particle beam parameters
  • collective phenomena
  • insertion device radiation.

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