TY - JOUR A1 - Elsner, Robert A1 - Ullmann, Roland A1 - Heuer, Axel A1 - Menzel, Ralf A1 - Ostermeyer, Martin T1 - Two-dimensional modeling of transient gain gratings in saturable gain media JF - OPTICS EXPRESS N2 - A transient two-dimensional model describing degenerate four-wave mixing inside saturable gain media is presented. The new model is compared to existing one-dimensional models with their qualitative results confirmed. Large quantitative differences with respect to peak reflectivity and optimum pump fluence are observed. Furthermore, the influence of the beam focus size, the transverse position and the crossing angle on the reflectivity of the grating is investigated using the improved model. It is demonstrated that the phase conjugate reflectivity depends sensitively on the transverse features of the interacting beams with a transverse shift in the position of the pump beams yielding a threefold improvement in reflectivity. (C) 2012 Optical Society of America Y1 - 2012 U6 - https://doi.org/10.1364/OE.20.006887 SN - 1094-4087 VL - 20 IS - 7 SP - 6887 EP - 6896 PB - OPTICAL SOC AMER CY - WASHINGTON ER -