Based on the decomposition of coherent and partially coherent fields on the orthogonal sets of Hermite-Gauss modes, the expression for the Wigner distribution (WD) in polar coordinates has been derived. This representation allows to analyse easily the structure of the WD and to describe the field propagation through first-order optical systems including the self-imaging phenomenon.
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http://www.opticsinfobase.org/abstract.cfm?URI=josaa-17-4-756