Ray optics, Fermat's principle, and applications to general relativity
Series: Lecture notes in physics ; 61Publication details: Springer, 2000. Berlin;Description: x,220p.; pb.; 24 cmISBN:- 9783642086168
- 523.0153 PER
Item type | Current library | Collection | Call number | Status | Date due | Barcode |
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IIT Gandhinagar | General | 523.0153 PER (Browse shelf(Opens below)) | Available | 029246 |
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523.01 TYS Astrophysics for young people in a hurry | 523.01 WEI Lectures on astrophysics | 523.01092 OLU Quantum life: my unlikely journey from the street to the stars | 523.0153 PER Ray optics, Fermat's principle, and applications to general relativity | 523.019 COL Physics of relativistic objects in compact binaries from birth to coalescence | 523.1 BAU Cosmology | 523.1 CLE Ten patterns that explain the universe |
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.
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