Fermat's principle and variational analysis of an optical model for light propagation exhibiting a critical radius
M. Marklund, D. Anderson, F. Cattani, M. Lisak, L. Lundgren
Abstract
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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