Optical Production of the Husimi Function of Two Gaussian Functions

The intensity distribution of the Husimi function (HF) and the squared modulus of the Wigner function (WF) are detected in the phase space of an astigmatic optical processor. These results, obtained in the laboratory, are compared against numerical results generated by using analytical calculation for the HF and WF. The signal function is the superposition of two Gaussian functions with a separation between them, having the same amplitude but a different variance.