Ray Optics, Fermat’s Principle, and Applications to General Relativity
Author:   Volker Perlick
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2000 ed.
Volume:   61
ISBN:  

9783540668985


Pages:   222
Publication Date:   18 February 2000
Format:   Hardback
Availability:   In Print   Availability explained
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Ray Optics, Fermat’s Principle, and Applications to General Relativity


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Overview

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.

Full Product Details

Author:   Volker Perlick
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2000 ed.
Volume:   61
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.130kg
ISBN:  

9783540668985


ISBN 10:   3540668985
Pages:   222
Publication Date:   18 February 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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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