J. Tu et S. Tamura, WAVE-FIELD DETERMINATION USING TOMOGRAPHY OF THE AMBIGUITY FUNCTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 1946-1949
Ambiguity function (AF) theory is proposed to reconstruct a complex wa
ve field using tomography by measurements of intensity in a refractive
optical system. By performing one-dimensional (1D) inverse Fourier tr
ansforms of intensities with some adjustment in various longitudinal o
ptical system parameters, the corresponding AF values along the lines
at different angles in the AF phase: space are obtained; therefore, th
e mutual intensity function is reconstructed by performing a 1D Fourie
r transform of the reconstructed AF values. The reconstruction process
in some cases is considered to be simpler than the equivalent theory
using Wigner distribution function.