The expression for the Wigner distribution (WD) in polar coordinates was derived, based on the decomposition of coherent and partially coherent fields on the orthogonal sets of Hermite–Gauss modes. This representation allows one to analyze easily the structure of the WD and to describe the field propagation through first-order optical systems, including the self-imaging phenomenon.
© 2000 Optical Society of America
Tatiana Alieva and Martin J. Bastiaans, "Self-affinity in phase space," J. Opt. Soc. Am. A 17, 756-761 (2000)