Chapter 1. Beams of Electrons or Photons

  1. Prof. Richard Talman

Published Online: 16 FEB 2007

DOI: 10.1002/9783527610303.ch1

Accelerator X-Ray Sources

Accelerator X-Ray Sources

How to Cite

Talman, R. (2006) Beams of Electrons or Photons, in Accelerator X-Ray Sources, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610303.ch1

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



  • beams of electrons;
  • beams of photons;
  • coordinate definitions;
  • one-dimensional transverse propagation equations;
  • transfer matrices for simple elements;
  • elliptical (in phase space) beams;
  • beam envelope E(s);
  • Gaussian beams;
  • pseudoharmonic trajectory description;
  • transfer matrix parametrization;
  • reconciliation of beam and lattice parameters


This chapter contains sections titled:

  • Preview

  • Coordinate Definitions

  • One-dimensional Transverse Propagation Equations

  • Transfer Matrices for Simple Elements

    • Drift Space

    • Thin Lens

    • Thick Lens

    • Erect Quadrupole Lens

  • Elliptical (in Phase Space) Beams

  • Beam Envelope E(s)

  • Gaussian Beams: their Variances and Covariances

  • Pseudoharmonic Trajectory Description

  • Transfer Matrix Parametrization

  • Reconciliation of Beam and Lattice Parameters

    • Beam Evolution Through a Drift Section

    • Beam Evolution Through a Thin Lens