Chapter 12. Compton Scattered Beams and “Laser Wire” Diagnostics

  1. Prof. Richard Talman

Published Online: 16 FEB 2007

DOI: 10.1002/9783527610303.ch12

Accelerator X-Ray Sources

Accelerator X-Ray Sources

How to Cite

Talman, R. (2007) Compton Scattered Beams and “Laser Wire” Diagnostics, in Accelerator X-Ray Sources, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610303.ch12

Author Information

  1. Cornell University, Laboratory of Elementary Physics, Ithaca, NY, USA

Publication History

  1. Published Online: 16 FEB 2007
  2. Published Print: 22 MAY 2006

ISBN Information

Print ISBN: 9783527405909

Online ISBN: 9783527610303

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Keywords:

  • Compton scattered beams;
  • “laser wire” diagnostics;
  • Compton scattering kinematics;
  • total Compton cross section;
  • photon beam treated as an electromagnetic wave;
  • undulator fields in electron rest frame;
  • classical derivation of Thomson scattering;
  • transformation of photon distributions to the laboratory;
  • rate estimates for a laser wire diagnostic apparatus

Summary

This chapter contains sections titled:

  • Preview

  • Compton Scattering Kinematics

  • Some Specialized Laser, Electron Beam Configurations

    • Back-scattered Photons

    • Orthogonal Photon Incidence in the Laboratory

    • Orthogonal Electron Frame Incidence

  • Total Compton Cross Section

  • The Photon Beam Treated as an Electromagnetic Wave

    • Determination of the Electron's Velocity Modulation

    • Undulator Parametrization of Electron Motion in a Wave

  • Undulator Fields in Electron Rest Frame

    • Some Formulas from Special Relativity [7]

    • Treatment of an Undulator Magnet as an Electromagnetic Wave

  • Classical Derivation of Thomson Scattering

    • Introduction

    • Free Electron Oscillating in Electromagnetic Wave [5]

    • Electric Dipole Radiation [6]

    • Scattering Rate Expressed as a Total Cross Section

  • Transformation of Photon Distributions to the Laboratory

    • Solid Angle Transformation

    • Photon Energy Distribution in the Laboratory

    • A Theorem Applicable to Isotropic Distributions

    • Energy Distribution of Undulator Radiation

  • Rate Estimates for a Laser Wire Diagnostic Apparatus

    • The Nonrelativistic Limit

    • Laser Wire Treated as Undulator

    • Laser Wire Treated via Electron Rest Frame

    • Invariant Cross Section Applied to Laser Wire

    • Bunched Beam Rates