  Within the expansive domain of optical sciences, achieving the precise
characterization of light beams stands as a fundamental pursuit, pivotal for
various applications, including telecommunications and imaging technologies.
This study introduces an innovative methodology aimed at reconstructing the
Wigner distribution function of optical signals; a crucial tool in
comprehending the time-frequency behavior exhibited by these signals. The
proposed approach integrates two robust mathematical tools: the discrete
realization of fractional Fourier transform, and the propagator of the quantum
harmonic oscillator in waveguide arrays. This integration offers a direct and
efficient method for characterizing optical signals by reconstructing their
Wigner distribution function in the scope of integrated optics. We provide
evidence of how having knowledge of the signal propagation amid the phase-space
reconstruction, has desirable advantages in respect to only knowing the signal
state.
