Fermat's principle and variational analysis of an optical model for light propagation exhibiting a critical radius

Details Fermat's principle and variational analysis of an optical model for light propagation exhibiting a critical radius Fermat's principle and variational analysis of an optical model for light propagation exhibiting a critical radius

2001-02-08

arxiv.org/abs/physics/0102019v2

Am.J.Phys. 70 (2002) 680

Physics

Physics Education

5 pages from tex file + 3 figures (eps files)

Scientific paper

10.1119/1.1477429

Fermat's principle and variational analysis is used to analyze the
trajectories of light propagating in a radially inhomogeneous medium with a
singularity in the center. It is found that the light trajectories are similar
to those around a black hole, in the sense that there exists a critical radius
within which the light cannot escape, but spirals into the singularity.

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