A two-dimensional model using wave optics has been developed for real-time simulation of the four wave mixing process in nonlinear optical media. Because of the additional dimension to represent the intensity and phase variation across the fields, the code is capable of demonstrating the effects such as beam misalignment, self-focusing, and phase conjugation fidelity. The reflectivity obtained in the short-pulse regime is in good agreement with analytical theory.
"Modeling of Transient Four Wave Mixing", Proc. SPIE 0642, Modeling and Simulation of Optoelectronic Systems, (25 November 1986); doi: 10.1117/12.975485; https://doi.org/10.1117/12.975485