Ray Optics, Fermat’s Principle, and Applications to General Relativity

Volker Perlick (Autor)

Buch | Softcover

X, 222 Seiten

2011 | 1. Softcover reprint of the original 1st ed. 2000
Springer Berlin (Verlag)
978-3-642-08616-8 (ISBN)

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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.

From 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.

Erscheint lt. Verlag	15.5.2011
Reihe/Serie	Lecture Notes in Physics Monographs
Zusatzinfo	X, 222 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	363 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	EFE • Fermat's Principle • General relativity • Graviational Lensing • Gravity • Hamiltonian Dynamics • Optics • Ray Optics • Redshift Formula • Relativity • Spacetime Geometry
ISBN-10	3-642-08616-0 / 3642086160
ISBN-13	978-3-642-08616-8 / 9783642086168
Zustand	Neuware