000 | 03706nam a22005895i 4500 | ||
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001 | 978-3-540-46662-8 | ||
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_a9783540466628 _9978-3-540-46662-8 |
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_a10.1007/3-540-46662-2 _2doi |
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_a535.2 _223 |
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100 | 1 |
_aPerlick, Volker. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aRay Optics, Fermat’s Principle, and Applications to General Relatively _h[electronic resource] / _cby Volker Perlick. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2000. |
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300 |
_aX, 222 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v61 |
|
505 | 0 | _aFrom 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. | |
520 | _aThis 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. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aMathematical physics. | |
650 | 0 | _aMagnetism. | |
650 | 1 | 4 |
_aClassical Electrodynamics. _0http://scigraph.springernature.com/things/product-market-codes/P21070 |
650 | 2 | 4 |
_aApplications of Mathematics. _0http://scigraph.springernature.com/things/product-market-codes/M13003 |
650 | 2 | 4 |
_aAstrophysics and Astroparticles. _0http://scigraph.springernature.com/things/product-market-codes/P22022 |
650 | 2 | 4 |
_aClassical and Quantum Gravitation, Relativity Theory. _0http://scigraph.springernature.com/things/product-market-codes/P19070 |
650 | 2 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aMagnetism, Magnetic Materials. _0http://scigraph.springernature.com/things/product-market-codes/P25129 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642086168 |
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_iPrinted edition: _z9783540668985 |
776 | 0 | 8 |
_iPrinted edition: _z9783662142851 |
830 | 0 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v61 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-46662-2 |
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912 | _aZDB-2-LNP | ||
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