Geometrical Spinoptics and the Optical Hall Effect

Christian Duval (1, 2) , Zalan Horvath (3) , Peter Horvathy (4)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 Departement for Theoretical Physics
4 LMPT - Laboratoire de Mathématiques et Physique Théorique

Geometrical optics is extended so as to admit polarization via the coadjoint orbits of the Euclidean group characterized by color and spin. This leads to a theory of "geometrical spinoptics" in refractive media and to a purely Euclidean model for the newly discovered optical Hall effect.

Mots clés: Geometrical optics; polarization; coadjoint orbits; optical Hall effect

Domaines: Physique mathématique [math-ph]; Optique [physics.optics]; Géométrie symplectique [math.SG]

Christian Duval, Zalan Horvath, Peter Horvathy. Geometrical Spinoptics and the Optical Hall Effect. 2005. ⟨hal-00008769v1⟩