Ray optics, Fermat's principle, and applications to general relativity

This book is about the mathematical theory of light propagation in media on general-relativistic spacetimes. The first part discusses the transition from Maxwell's equations to ray optics. The second part establishes a general mathematical framework for treating ray optics as a theory in its ow...

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מידע ביבליוגרפי
מחבר ראשי: Perlick, Volker, 1956-
פורמט: Livre numérique
שפה:Anglais
יצא לאור: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
סדרה:Lecture notes in physics. M, Monographs 61
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הערה: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Ray optics, Fermat's principle, and applications to general relativity, Volker Perlick, Berlin, Springer, 2000, 1 vol. (X-220 p.), Lecture notes in physics, 3-540-66898-5
• Ray Optics, Fermat s Principle, and Applications to General Relativity, Texte imprimé, 9783642086168
• Ray Optics, Fermat s Principle, and Applications to General Relativity, Texte imprimé, 9783662142851
תיאור
סיכום:This book is about the mathematical theory of light propagation in media on general-relativistic spacetimes. The first part discusses the transition from Maxwell's equations to ray optics. The second part establishes a general mathematical framework for treating ray optics as a theory in its own right, making extensive use of the Hamiltonian formalism. This part also includes a detailed discussion of variational principles (i.e., various versions of Fermat's principle) for light rays in general-relativistic media. Some applications, e.g. to gravitational lensing, are worked out. The reader is assumed to have some basic knowledge of general relativity and some familiarity with differential geometry. Some of the results are published here for the first time, e.g. a general-relativistic version of Fermat's principle for light rays in a medium that has to satisfy some regularity condition only.
תאור פריט:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540466628 (PDF)
ISSN:1619-3407
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