Geometrical Spinoptics and the Optical Hall Effect
Mathematical Physics
2015-06-26 v3 High Energy Physics - Theory
math.MP
Symplectic Geometry
Optics
Abstract
Geometrical optics is extended so as to provide a model for spinning light rays via the coadjoint orbits of the Euclidean group characterized by color and spin. This leads to a theory of ``geometrical spinoptics'' in refractive media. Symplectic scattering yields generalized Snell-Descartes laws that include the recently discovered optical Hall effect.
Cite
@article{arxiv.math-ph/0509031,
title = {Geometrical Spinoptics and the Optical Hall Effect},
author = {Christian Duval and Zalan Horvath and Peter Horvathy},
journal= {arXiv preprint arXiv:math-ph/0509031},
year = {2015}
}
Comments
33 pages. Two subsections and new references added. To appear in the Journal of Geometry and Physics