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Author Perlick, Volker, 1956-

Title Ray optics, Fermat's principle, and applications to general relativity / Volker Perlick
Published Berlin ; London : Springer, [2000]


Location Call no. Vol. Availability
 MELB  523.0153 Per/Rof  AVAILABLE
Description x, 220 pages : illustrations ; 24 cm
Series Lecture notes in physics. Monographs, 0940-7677 ; v. m61
Lecture notes in physics. New series m, Monographs ; m61
Contents Machine derived contents note: I. From Maxwell's Equations to Ray Optics: Introduction. Light Propagation in Linear Dielectric and Permeable Media.- Light Propagation in Other Kinds of Media.- II. A Mathematical Framework for Ray Optics: Introduction. Ray-Optical Structures on Arbitrary Manifolds. Ray-Optical Structures on Lorentzian Manifolds. Variational Principles for Rays.- Applications.- References.- Index
Summary 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
Bibliography Includes bibliographical references (pages [211]-216) and index
Notes Print version record
Subject General relativity (Physics)
Light -- Transmission -- Mathematical models.
Maxwell equations.
Author Springer-Verlag.
LC no. 99089303
ISBN 3540668985 (hbk. : alk. paper)
Other Titles SpringerLINK Lecture Notes in Physics Contemporary (1997-present)