Ray optics, Fermat's principle, and applications to general relativity / Volker Perlick
- 作者： Perlick, Volker.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： New York : Springer c2000
- 叢書名： Lecture notes in physics. Monographs ,m61
- 主題： Light--Transmission--Mathematical models. , Maxwell equations. , General relativity (Physics)
- ISBN： 9783540668985 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005167732 | 機讀編目格式
館藏資訊
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.