Abstract

Equation of motion for the density operator of the field in the process of second harmonic generation is converted into a Fokker-Planck equation by using the positive P-representation of the density operator. This Fokker-Planck equation is replaced by a set of four coupled stochastic differential equations using the Ito interpretation. The statistics of the light field are studied by numerically solving these stochastic equations. For long interaction times substantial antibunching and squeezing are possible in principle.

© 1987 Optical Society of America