# Mathematical Theory of Diffraction

Part of the Progress in Mathematical Physics book series (PMP, volume 35)

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Part of the Progress in Mathematical Physics book series (PMP, volume 35)

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 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. The body of Sommerfeld's work is devoted to the systematic development of a method for deriving solutions of the wave equation on Riemann surfaces, a fascinating but perhaps underappreciated topic in mathematical physics.

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. A detailed account of the previous diffraction analyses of Kirchhoff and Poincaré provides a context for the striking originality and power of Sommerfeld's ideas.

The availability of this translation is an enriching contribution to the community of mathematical and theoretical physicists.

History of Mathematics diffraction mathematical physics optical theory wave equation

- DOI https://doi.org/10.1007/978-0-8176-8196-8
- Copyright Information Birkhäuser Boston 2004
- Publisher Name Birkhäuser, Boston, MA
- eBook Packages Springer Book Archive
- Print ISBN 978-1-4612-6485-9
- Online ISBN 978-0-8176-8196-8
- Buy this book on publisher's site

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