Ray Optics, Fermat's Principle, and Applications to General Relativity |  | Author: Volker Perlick
Publisher: Springer
List Price: $79.95
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Sales Rank: 488472
Media: Hardcover
Edition: 1
Pages: 220
Number Of Items: 1
Shipping Weight (lbs): 0.9
Dimensions (in): 9.5 x 6.3 x 0.6
ISBN: 3540668985
Dewey Decimal Number: 523.0153
EAN: 9783540668985
ASIN: 3540668985
Publication Date: March 15, 2000
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Product Description
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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