Description 
x, 220 pages : illustrations ; 24 cm 
Series 
Lecture notes in physics. Monographs, 09407677 ; 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. RayOptical Structures on Arbitrary Manifolds. RayOptical 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 generalrelativistic 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 generalrelativistic 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 generalrelativistic 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 
SpringerVerlag.

LC no. 
99089303 
ISBN 
3540668985 (hbk. : alk. paper) 
