Joint Distribution Functions and the Generalized Optical transfer Function
Colin J. R. Sheppard, Kieran G. Larkin · AIP conference proceedings · 2006
The ambiguity function and the Wigner distribution function have both been applied in the optical area for many years. Later, the fractional Fourier transform has also been used. The connection between the ambiguity function and the defocused optical transfer function has also been described. Here we consider the connections with the generalized optical transfer function, first proposed in 1965, which is a two (three) dimensional optical transfer function for the two (three) dimensional case. The two dimensional form can be used as the basis for phase retrieval algorithms, but is also valid in the non‐paraxial domain.