$Mathematical Theory of Diffraction - Arnold Sommerfeld$

Mathematical Theory of Diffraction

Arnold Sommerfeld (Autor)

Buch | Hardcover

157 Seiten

2003
Birkhauser Boston Inc (Verlag)
978-0-8176-3604-3 (ISBN)

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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.

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.

Reihe/Serie	Progress in Mathematical Physics ; 35
Übersetzer	Raymond J. Nagem, Mario Zampolli, Guido Sandri
Zusatzinfo	IX, 157 p.
Verlagsort	Secaucus
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Optik
ISBN-10	0-8176-3604-8 / 0817636048
ISBN-13	978-0-8176-3604-3 / 9780817636043
Zustand	Neuware