Abstract
We bring out the connection between Berry’s geometric phase and a gauge invariant expression introduced by Bargmann. We exploit this relationship to show that the Güoy effect, which referes to the phase jump experienced by a focused beam as it crosses the caustic, is the geometric phase associated with the underlying Lobachevskian hyperbolic geometry.
- Received 9 November 1992
DOI:https://doi.org/10.1103/PhysRevLett.70.880
©1993 American Physical Society