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- catalog abstract ""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."--Jacket.".
- catalog contributor b11563216.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description ""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."--Jacket.".
- catalog description "Includes bibliographical references (p. [211]-216) and index.".
- catalog extent "x, 220 p. ;".
- catalog identifier "3540668985 (alk. paper)".
- catalog isPartOf "Lecture notes in physics. Monographs, 0940-7677 ; v. m61".
- catalog isPartOf "Lecture notes in physics. New series m, Monographs ; m61.".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "523.01/53 21".
- catalog subject "General relativity (Physics)".
- catalog subject "Light Transmission Mathematical models.".
- catalog subject "Maxwell equations.".
- catalog subject "QC389 .P37 2000".
- catalog title "Ray optics, Fermat's principle, and applications to general relativity / Volker Perlick.".
- catalog type "text".