Progress in Mathematical Physics

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

Arnold 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. 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.

Details

Published by: Birkhäuser

Publication Date: 2003-12-16

Format: Hardcover

ISBN-13: 9780817636043

DOI: 10.1007/978-0-8176-8196-8

Dimensions: 235cm x155cm

Pages: 157