Bargmann invariant and the geometry of the Güoy effect

R. Simon and N. Mukunda
Phys. Rev. Lett. 70, 880 – Published 15 February 1993
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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

Authors & Affiliations

R. Simon

  • The Institute of Mathematical Sciences, C.I.T. Campus, Madras 600 113, India

N. Mukunda

  • Center for Theoretical Studies and Department of Physics, Indian Institute of Science, Bangalore 560 012, India
  • Jawaharlal Nehru Centre for Advaned Scientific Research, Bangalore 560 012, India

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Vol. 70, Iss. 7 — 15 February 1993

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