Chapter 2. Beams Treated as Waves

  1. Prof. Richard Talman

Published Online: 16 FEB 2007

DOI: 10.1002/9783527610303.ch2

Accelerator X-Ray Sources

Accelerator X-Ray Sources

How to Cite

Talman, R. (2006) Beams Treated as Waves, in Accelerator X-Ray Sources, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610303.ch2

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 treated as waves;
  • scalar wave equation;
  • short wavelength;
  • geometric optics limit;
  • wave description of Gaussian beams;
  • synchrotron radiation;
  • X-ray holography;
  • phase contrast;
  • lens-free imaging


This chapter contains sections titled:

  • Preview

  • Scalar Wave Equation

  • The Short Wavelength, Geometric Optics Limit

    • Determination of Rays from Wavefronts

    • The Ray Equation in Geometric Optics

    • Obtaining Phase Information from Intensity Measurement

  • Wave Description of Gaussian Beams

    • Gaussian Beam in a Focusing Medium

    • Spatial Dependence of a Wave Near a Free Space Focus

    • The ABCD Law

    • Optics Using Mirrors

    • Wave Particle Duality for Electrons

  • Synchrotron Radiation: Waves or Particles?

  • X-ray Holography and Phase Contrast and Lens-free Imaging