A simple analytical model to study of six wave fiber optical parametric amplifier characteristics

We have made an attempt to present a fairly analytical solution, in order to provide a compact source for such solution for researchers who need to evaluate six wave optical parametric amplifiers (OPA) performance. We have also presented complete derivations, so that the researchers can follow them step by step and thereby gain physical and mathematical insight into the origin of the solutions. We begin by using Maxwell's equations under third nonlinear effects on which fiber OPAs are used to derive complete coupled wave equations. For six waves OPA we also describe some of their fundamental properties resulting from energy conservation, as well as the quantum features of four wave mixing (FWM) interactions. Finally we have presented analytical solutions followed by simulation results for six coupled wave equation for certain conditions.