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Classical Mechanics and Electromagnetism in Accelerator Physics

  • Gennady Stupakov
  • Gregory Penn

Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages i-x
  2. Classical Mechanics

    1. Front Matter
      Pages 1-1
    2. Gennady Stupakov, Gregory Penn
      Pages 21-30
    3. Gennady Stupakov, Gregory Penn
      Pages 31-45
    4. Gennady Stupakov, Gregory Penn
      Pages 47-61
    5. Gennady Stupakov, Gregory Penn
      Pages 63-74
    6. Gennady Stupakov, Gregory Penn
      Pages 75-86
    7. Gennady Stupakov, Gregory Penn
      Pages 87-94
    8. Gennady Stupakov, Gregory Penn
      Pages 95-106
    9. Gennady Stupakov, Gregory Penn
      Pages 107-119
    10. Gennady Stupakov, Gregory Penn
      Pages 121-133
  3. Electricity and Magnetism

    1. Front Matter
      Pages 135-135
    2. Gennady Stupakov, Gregory Penn
      Pages 137-150
    3. Gennady Stupakov, Gregory Penn
      Pages 151-161
    4. Gennady Stupakov, Gregory Penn
      Pages 163-172
    5. Gennady Stupakov, Gregory Penn
      Pages 173-189
    6. Gennady Stupakov, Gregory Penn
      Pages 191-199
    7. Gennady Stupakov, Gregory Penn
      Pages 201-212
    8. Gennady Stupakov, Gregory Penn
      Pages 213-220
    9. Gennady Stupakov, Gregory Penn
      Pages 221-230
    10. Gennady Stupakov, Gregory Penn
      Pages 231-240
    11. Gennady Stupakov, Gregory Penn
      Pages 241-249
    12. Gennady Stupakov, Gregory Penn
      Pages 251-258
    13. Gennady Stupakov, Gregory Penn
      Pages 259-267
  4. Back Matter
    Pages 269-280

About this book

Introduction

This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators.

Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical transformations, action-angle variables, and then linear and nonlinear oscillators. The Hamiltonian for a circular accelerator is used to evaluate the equations of motion, the action, and betatron oscillations in an accelerator.  From this base, we explore the impact of field errors and nonlinear resonances.  This part ends with the concept of the distribution function and an introduction to the kinetic equation to describe large ensembles of charged particles and to supplement the previous single-particle analysis of beam dynamics.

Part II focuses on classical electromagnetism and begins with an analysis of the electromagnetic field from relativistic beams, both in vacuum and in a resistive pipe.  Plane electromagnetic waves and modes in waveguides and radio-frequency cavities are also discussed.  The focus then turns to radiation processes of relativistic beams in different conditions, including transition, diffraction, synchrotron, and undulator radiation. Fundamental concepts such as the retarded time for the observed field from a charged particle, coherent and incoherent radiation, and the formation length of radiation are introduced. We conclude with a discussion of laser-driven acceleration of charged particles and the radiation damping effect.

Appendices on electromagnetism and special relativity are included, and references are given in some chapters as a launching point for further reading.

This text is intended for graduate students who are beginning to explore the field of accelerator physics, but is also recommended for those who are familiar with particle accelerators but wish to delve further into the theory underlying some of the more pressing concerns in their design and operation.

Keywords

Accelerator physics textbook Free electron laser Radiofrequency cavities Scattering of electromagnetic waves Lienard- Wiechert potentials Lagrangian and Hamiltonian for a charged particle CPT symmetries in classical mechanics Particle accelerator physics Modern beam physics Charged particle beams

Authors and affiliations

  • Gennady Stupakov
    • 1
  • Gregory Penn
    • 2
  1. 1.SLAC National Accelerator LaboratoryStanford UniversityMenlo ParkUSA
  2. 2.Lawrence Berkeley National Laboratory BerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-90188-6
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-90187-9
  • Online ISBN 978-3-319-90188-6
  • Series Print ISSN 1868-4513
  • Series Online ISSN 1868-4521
  • Buy this book on publisher's site
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