Physics Department, The University of Auckland, Private Bag 92019, Auckland, New Zealand.
Opt Lett. 2010 Sep 15;35(18):3084-6. doi: 10.1364/OL.35.003084.
We present an analytical solution for propagating pulses in normal dispersion fiber amplifiers, including the effect of third-order dispersion. The solution of the generalized nonlinear Schrödinger equation is based on asymptotic methods, first-order perturbation theory, and a renormalization procedure and leads to determination of the critical length corresponding to pulse breakup. We have also found and confirmed numerically the condition on the parameters that govern the propagation, as is necessary to ensure a highly accurate analytical description of the pulses and critical lengths in fiber amplifiers with third-order dispersion.
我们提出了一种在正常色散光纤放大器中传播脉冲的解析解，包括三阶色散的影响。广义非线性薛定谔方程的解基于渐近方法、一阶微扰理论和重整化程序，可确定与脉冲分裂相对应的临界长度。我们还找到了并通过数值证实了控制传播的参数条件，这对于确保三阶色散光纤放大器中脉冲和临界长度的高度精确解析描述是必要的。
