Mathematical Theory of Diffraction by Arnold Sommerfeld.

Arnold Sommerfeld's Mathematical Theory of Diffraction marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analy...

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Bibliographic Details
Main Author: Sommerfeld, Arnold. (Author,
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2004.
Edition:1st ed. 2004.
Series:Progress in Mathematical Physics, 35
Springer eBook Collection.
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Mathematical Theory of Diffraction
  • 1. General problem formulation
  • 2. Expansions in Bessel functions
  • 3. Transition from ?u = 0 to ?u + k2u = 0
  • 4. Bessel functions as the simplest examples
  • 5. Everywhere finite solutions
  • 6. Solutions with a singularity
  • 7. Graphical treatment of the simplest multivalued solution
  • 8. Application to diffraction
  • Tafel
  • Translators’ Notes
  • References
  • Appendix I: The History and Present State of Discoveries relating to Vision, Light and Colours
  • Appendix II: On the Mathematical Theory of Diffraction Phenomena.