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020 _a9783540466628
_9978-3-540-46662-8
024 7 _a10.1007/3-540-46662-2
_2doi
050 4 _aQC350-467
050 4 _aQC630-648
072 7 _aPHJ
_2bicssc
072 7 _aSCI021000
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082 0 4 _a537.6
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100 1 _aPerlick, Volker.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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.
300 _aX, 222 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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
776 0 8 _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
912 _aZDB-2-BAE
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