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Optics Letters

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  • Vol. 30, Iss. 10 — May. 15, 2005
  • pp: 1207–1209

Wigner representation and geometric transformations of optical orbital angular momentum spatial modes

Gabriel F. Calvo  »View Author Affiliations


Optics Letters, Vol. 30, Issue 10, pp. 1207-1209 (2005)
http://dx.doi.org/10.1364/OL.30.001207


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Abstract

An exact Wigner representation of optical spatial modes carrying orbital angular momentum is found in closed form by exploiting the underlying SU(2) Lie-group algebra of their associated Poincaré sphere. Orthogonality relations and observables of these states are obtained within the phase space picture. Development of geometric phases on mode transformations is also elucidated.

© 2005 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(080.2720) Geometric optics : Mathematical methods (general)
(260.0260) Physical optics : Physical optics
(350.1370) Other areas of optics : Berry's phase
(350.5500) Other areas of optics : Propagation

Citation
Gabriel F. Calvo, "Wigner representation and geometric transformations of optical orbital angular momentum spatial modes," Opt. Lett. 30, 1207-1209 (2005)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-10-1207


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