%0 Journal Article
%J Optics Letters
%D 2005
%T Wigner representation and geometric transformations of optical orbital angular momentum spatial modes
%A Calvo, Gabriel F.
%K Berry's phase
%K Mathematical methods (general)
%K Modes
%K Physical optics
%K Propagation
%X 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 PoincarĂ© 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.
%B Optics Letters
%I OSA
%V 30
%P 1207
%8 05/2005
%G eng
%U http://ol.osa.org/abstract.cfm?URI=ol-30-10-1207
%R 10.1364/OL.30.001207