Self-consistent phase determination for Wigner function reconstruction

We present the reconstruction of the Wigner function of a classical phase-sensitive state, a pulsed coherent state, by measurements of the distributions of detected-photons of the state displaced by a coherent probe field. By using a hybrid photodetector operated above its photon-resolving regime, we obtain both the statistics at different values of the probe field and the values of the probe phase required to reconstruct the Wigner function.