Ray Optics, Fermat’s Principle, and Applications to General Relativity 2000th Edition by Volker Perlick (PDF)

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.

User’s Reviews

Editorial Reviews: From the Back Cover 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.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is an excellent book if you need to study the gravitational lensing subject. I hears the author give an excellent talk at a confernece and was very motivated to buy the book since I am interested in the subject. Strongly recommended for the readers who would like to know more about the subejct of gravitations lensing.

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Ray Optics, Fermat’s Principle, and Applications to General Relativity 2000th Edition 2000 PDF Free Download
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