title: Two-dimensional modeling of transient gain gratings in saturable gain media.
abstract: 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.
authors.affiliation: 1University of Potsdam, Karl-Liebknecht-Str. 24/25, 14467 Potsdam, Germany. robert.elsner@uni-potsdam.de
authors.forename: Robert
authors.initials: R
authors.lastname: Elsner
authors.forename: Roland
authors.initials: R
authors.lastname: Ullmann
authors.forename: Axel
authors.initials: A
authors.lastname: Heuer
authors.forename: Ralf
authors.initials: R
authors.lastname: Menzel
authors.forename: Martin
authors.initials: M
authors.lastname: Ostermeyer
mesh_terms: D000669:Amplifiers, Electronic; D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D007834:Lasers; D008027:Light; D008962:Models, Theoretical; D012031:Refractometry / Q000295:instrumentation*; D012542:Scattering, Radiation; D013685:Telecommunications / Q000295:instrumentation*