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APS » Journals » Phys. Rev. Lett. » Volume 70 » Issue 7
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Phys. Rev. Lett. 70, 880–883 (1993)

Bargmann invariant and the geometry of the Güoy effect

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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

Received 9 November 1992; published in the issue dated 15 February 1993

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.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.880
DOI:
10.1103/PhysRevLett.70.880
PACS:
03.65.Sq, 03.65.Bz, 42.25.-p
 
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