Second harmonic generation with photon number squeezed light as input

We investigate the quantum statistics of the fields produced in second harmonic generation when photon number squeezed light is used as input. It is found that the squeezed properties of the pump beam can be transferred to a certain extent to the second harmonic beam. The normalized photon fluctuations, or Fano factors, of the fundamental and second harmonic output fields are derived for various values of the interaction parameters.