Ray Optics, Fermat’s Principle, and Applications to General Relativity (Lecture Notes in Physics Monographs, 61, Band 61) - Hardcover

Perlick, Volker

 
9783540668985: Ray Optics, Fermat’s Principle, and Applications to General Relativity (Lecture Notes in Physics Monographs, 61, Band 61)
Hardcover
ISBN 10: 3540668985 ISBN 13: 9783540668985
Verlag: Springer, 2000

Inhaltsangabe

From Maxwell's equations to ray optics.- to Part I.- Light propagation in linear dielectric and permeable media.- Light propagation in other kinds of media.- A mathematical framework for ray optics.- to Part II.- Ray-optical structures on arbitrary manifolds.- Ray-optical structures on Lorentzian manifolds.- Variational principles for rays.- Applications.

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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.

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Verlag
Springer
Erscheinungsdatum
2000
Sprache
Englisch
ISBN 10 
3540668985
ISBN 13 
9783540668985
Einband
Gebundene Ausgabe
Anzahl der Seiten
232
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9783642086168: Ray Optics, Fermat’s Principle, and Applications to General Relativity (Lecture Notes in Physics Monographs, Band 61)

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ISBN 10:  3642086160 ISBN 13:  9783642086168
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Softcover