title: Full and semi-analytic analyses of two-pump parametric amplification with pump depletion.
abstract: This paper solves the four coupled equations describing non-degenerate four-wave mixing, with the focus on amplifying a signal in a fiber optical parametric amplifier (FOPA). Based on the full analytic solution, a simple approximate solution describing the gain is developed. The advantage of this new approximation is that it includes the depletion of the pumps, which is lacking in the usual quasi-linearized approximation. With the proposed model it is thus simple to predict the gain of a FOPA, which we demonstrate with a highly nonlinear fiber to show that an undepleted FOPA can produce a flat gain spectrum with a bandwidth in the 100-nm range, centered on the zero-dispersion wavelength. When running the FOPA in depletion, this range can be slightly increased.
authors: Department of Photonics Engineering, Technical University of Denmark, Lyngby, Denmark.
authors: H
authors: H
authors: Steffensen
authors: J R
authors: JR
authors: Ott
authors: K
authors: K
authors: Rottwitt
authors: C J
authors: CJ
authors: McKinstrie
mesh_terms: D000669:Amplifiers, Electronic; D003198:Computer Simulation; D017076:Computer-Aided Design; D004735:Energy Transfer; D004867:Equipment Design; D019544:Equipment Failure Analysis; D053844:Lasers, Solid-State; D008027:Light; D008962:Models, Theoretical; D012542:Scattering, Radiation