Tilted Poincar\'e Sphere Geodesics

TL;DR

This paper experimentally demonstrates geometric phase generation in Poincaré Sphere trajectories composed of geodesic arcs that are arbitrarily tilted, expanding understanding of phase phenomena in complex optical modes.

Contribution

It introduces the first experimental demonstration of geometric phase in non-polar trajectories on the Poincaré Sphere involving tilted geodesic arcs.

Findings

Geometric phase observed in non-polar, tilted geodesic trajectories.

Use of spatial light modulator to prepare arbitrary elliptical vortex states.

Implementation of Poincaré Sphere circuits with { extpi}-converters and Dove prisms.

Abstract

We provide the first experimental demonstration of geometric phase generated in association with closed Poincar\'e Sphere trajectories comprised of geodesic arcs that do not start, end, or necessarily even include, the north and south poles that represent pure Laguerre- Gaussian modes. Arbitrarily tilted (elliptical) single vortex states are prepared with a spatial light modulator, and Poincar\'e Sphere circuits are driven by beam transit through a series of {\pi}-converters and Dove prisms.