Mathematical theory of diffraction

Author(s)

Bibliographic Information

Mathematical theory of diffraction

Arnold Sommerfeld ; Raymond J. Nagem, Mario Zampolli, Guido Sandri, translators

(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 35)

Birkhäuser, c2004

Other Title

Mathematische Theorie der Diffraction

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Note

Includes bibliographical references(p.135-139) and index

"Based on the original German edition ... appearing in Mathematische Annalen 47 (1986), 317-374, Springer-Verlag" - T.p. verso

Description and Table of Contents

Description

A. Sommerfeld's "Mathematische Theorie der 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 analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader.

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.

by "Nielsen BookData"

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Details

  • NCID
    BA66314058
  • ISBN
    • 0817636048
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    ger
  • Place of Publication
    Boston
  • Pages/Volumes
    vii, 157 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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