01029nas a2200205 4500008004100000022001400041245010600055210006900161260001700230300000900247490000700256520038600263653001800649653003500667653001000702653002000712653001600732100002200748856005300770 2005 eng d a0146-959200aWigner representation and geometric transformations of optical orbital angular momentum spatial modes0 aWigner representation and geometric transformations of optical o bOSAc05/2005 a12070 v303 aAn 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.10aBerry's phase10aMathematical methods (general)10aModes10aPhysical optics10aPropagation1 aCalvo, Gabriel, F uhttp://ol.osa.org/abstract.cfm?URI=ol-30-10-1207