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Analytical and numerical studies of the performance of a nonlinear directional fiber coupler with periodically modulated dispersion

机译：具有周期性调制色散的非线性定向光纤耦合器性能的分析和数值研究

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In this paper, we report numerical and analytical studies of the propagation of ultrashort optical soliton pulses in two-core nonlinear fiber couplers constructed with periodically modulated dispersion fiber (PMDF). Our simulations is taking into account different amplitude and frequency modulations. Using the technique developed by Anderson, we convert the coupled nonlinear Schroedinger equations (NLSEs) into a variational problem with a corresponding Lagrangian equations of motion for a finite number of degrees of freedom and obtain the switching characteristics of the device. The transmission characteristics, the critical energy, extinction ratio (Xratio), and the crosstalk level (Xtalk) for first order solitons were studied for low to high pump powers. The analytical and numerical procedure was compared. Comparing both techniques we can say that the analytical procedure (Lagrangian formulation) provide very good description of soliton switching in the PMDF coupler for pump energies below the critical energy of the coupler.
机译：在本文中，我们报告了超短光孤子脉冲在周期调制色散光纤（PMDF）构成的两芯非线性光纤耦合器中传播的数值和分析研究。我们的仿真考虑了不同的幅度和频率调制。使用安德森（Anderson）开发的技术，我们将耦合的非线性Schroedinger方程（NLSE）转换为具有有限自由度的相应拉格朗日运动方程的变分问题，并获得该器件的开关特性。研究了从低到高泵浦功率的一阶孤子的传输特性，临界能量，消光比（Xratio）和串扰水平（Xtalk）。比较了分析和数值程序。比较这两种技术，我们可以说分析程序（拉格朗日公式）很好地描述了泵能量低于耦合器临界能量的PMDF耦合器中的孤子切换。

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