Ray Optics, Fermat's Principle, and Applications to General Relativity (Hardcover, 2000 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Physics Monographs, 61
Release date:	2001
First published:	2000
Authors:	Volker Perlick
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Hardcover
Pages:	222
Edition:	2000 ed.
ISBN-13:	978-3-540-66898-5
Categories:	Books > Science & Mathematics > Physics > Optics (light) Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Physics > Applied physics & special topics > Astrophysics
LSN:	3-540-66898-5
Barcode:	9783540668985

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