Steffensen H, Ott J R, Rottwitt K, McKinstrie C J
Department of Photonics Engineering, Technical University of Denmark, Lyngby, Denmark.
Opt Express. 2011 Mar 28;19(7):6648-56. doi: 10.1364/OE.19.006648.
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.
本文求解了描述非简并四波混频的四个耦合方程，重点在于在光纤光学参量放大器（FOPA）中放大信号。基于完整的解析解，开发了一种描述增益的简单近似解。这种新近似的优点在于它考虑了泵浦的耗尽，而这在通常的准线性化近似中是缺失的。因此，利用所提出的模型可以很容易地预测FOPA的增益，我们用高非线性光纤进行了演示，结果表明未耗尽的FOPA可以产生中心位于零色散波长、带宽在100纳米范围内的平坦增益谱。当FOPA在耗尽状态下运行时，这个范围可以略有增加。
