Special light trajectories in optical medium
Miroslav Pardy
TL;DR
This paper explores how Fermat's principle can be used to define light trajectories in nonhomogeneous media, deriving a geometric model and calculating the refractive index for circular confinement.
Contribution
It introduces a novel application of the Poincare model of Lobachevskii geometry to describe light paths in complex optical media.
Findings
Derived the Poincare model from Fermat's principle
Calculated the refractive index for circular light trajectories
Established a geometric framework for nonhomogeneous media
Abstract
The Fermat principle is used to define trajectories in nonhomogenous optical media. The Poincare model of the Lobachevskii geometry is derived. The index of refraction is determined for the light confined in the circular trajectory in the optical medium.
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Taxonomy
TopicsQuantum optics and atomic interactions · Orbital Angular Momentum in Optics · Advanced Fiber Laser Technologies