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

TitleWigner representation and geometric transformations of optical orbital angular momentum spatial modes
Publication TypeJournal Article
Year of Publication2005
AuthorsCalvo, GF
JournalOptics Letters
Volume30
Issue10
Pagination1207
Date Published05/2005
ISSN0146-9592
KeywordsBerry's phase, Mathematical methods (general), Modes, Physical optics, Propagation
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.

URLhttp://ol.osa.org/abstract.cfm?URI=ol-30-10-1207
DOI10.1364/OL.30.001207
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