Hakioǧlu, T.2016-02-082016-02-0820000740-3232http://hdl.handle.net/11693/25094The two-dimensional Wigner function was investigated in polar canonical coordinates. The covariance properties under the action of affine canonical transformations were derived. The polar canonical phase-space representations were considered important for paraxial optical systems as well as other systems in which a rotational symmetry around a particular axis was present.EnglishAtomic physicsEigenvalues and eigenfunctionsMathematical transformationsOptical systemsPhase space methodsSignal processingPolar canonical coordinatesQuantum opticsArticle