Wave field determination using tomography of the ambiguity function

Abstract
Ambiguity function (AF) theory is proposed to reconstruct a complex wave field using tomography by measurements of intensity in a refractive optical system. By performing one-dimensional (1D) inverse Fourier transforms of intensities with some adjustment in various longitudinal optical system parameters, the corresponding AF values along the lines at different angles in the AF phase space are obtained; therefore, the mutual intensity function is reconstructed by performing a 1D Fourier 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.