000			01507 a2200217 4500
999			_c52887 _d52887
008			200831b ||||| |||| 00| 0 eng d
020			_a9783642086168
082			_a523.0153 _bPER
100			_aPerlick, Volker
245			_aRay optics, Fermat's principle, and applications to general relativity
260			_bSpringer, _c2000. _aBerlin;
300			_ax,220p.; _bpb.; _c24 cm.
365			_aEURO _b112.14
440			_aLecture notes in physics ; 61
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			_aGeneral Relativity
650			_aLight
650			_aTransmission
650			_aMaxwell Equations
942			_2ddc _cTD