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100   $a20100715d2000      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aRay Optics, Fermat?s Principle, and Applications to General Relativity$b[electronic resource] /$fby Volker Perlick
205   $a1st ed. 2000.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000.
215   $a1 online resource (X, 222 p.) 
225 1 $aLecture Notes in Physics Monographs,$x0940-7677 ;$v61
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-66898-5 
320   $aIncludes bibliographical references and index.
327   $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.
330   $aThis book is about the mathematical theory of light propagation in media on general-relativistic spacetimes. The first part discusses the transition from Maxwell's equations to ray optics. The second part establishes a general mathematical framework for treating ray optics as a theory in its own right, making extensive use of the Hamiltonian formalism. This part also includes a detailed discussion of variational principles (i.e., various versions of Fermat's principle) for light rays in general-relativistic media. Some applications, e.g. to gravitational lensing, are worked out. The reader is assumed to have some basic knowledge of general relativity and some familiarity with differential geometry. Some of the results are published here for the first time, e.g. a general-relativistic version of Fermat's principle for light rays in a medium that has to satisfy some regularity condition only.
410  0$aLecture Notes in Physics Monographs,$x0940-7677 ;$v61
606   $aOptics
606   $aElectrodynamics
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aAstrophysics
606   $aGravitation
606   $aPhysics
606   $aMagnetism
606   $aMagnetic materials
606   $aClassical Electrodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21070
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
606   $aAstrophysics and Astroparticles$3https://scigraph.springernature.com/ontologies/product-market-codes/P22022
606   $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aMagnetism, Magnetic Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/P25129
615  0$aOptics.
615  0$aElectrodynamics.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aAstrophysics.
615  0$aGravitation.
615  0$aPhysics.
615  0$aMagnetism.
615  0$aMagnetic materials.
615 14$aClassical Electrodynamics.
615 24$aApplications of Mathematics.
615 24$aAstrophysics and Astroparticles.
615 24$aClassical and Quantum Gravitation, Relativity Theory.
615 24$aMathematical Methods in Physics.
615 24$aMagnetism, Magnetic Materials.
676   $a523.0153
700   $aPerlick$b Volker$4aut$4http://id.loc.gov/vocabulary/relators/aut$062532
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910257433803321
996   $aRay Optics, Fermat's Principle, and Applications to General Relativity$9374579
997   $aUNINA