Collaborative Research: Mathematical and Engineering Study of Multi-Channel All-Optical Regenerator

本文提出了设计和制作具有2R(再放大和整形)能力的多通道全光再生器的建议。所提出的再生器是一种新型器件，具有扩展光纤传输系统的覆盖范围和降低成本的潜力。该方案既包括数学设计、优化、模拟，也包括计划系统的初步实验测试。从数学上讲，该装置需要对具有周期性色散补偿的强光脉冲的演化进行复杂的研究。这个问题不同于色散管理传输系统中的脉冲传输问题，因为在后一种情况下，传输只是弱非线性的。我们期望这个项目的数学部分的结果将是一个理论，它将描述在上述条件下的脉冲传播以及扰动对该传播的影响。目前还不存在这样的理论。所提出的再生器潜在地可以用于任何数量的信道，并且不需要它们的时间同步或任何偏振控制。联合PI最近用数值方法证明了这种2R再生器的可行性，据他们所知，这是在上述条件下多通道全光再生的第一个演示。

This is a proposal to design and build a multi-channel all-optical regenerator with a 2R (reampli?cation and reshaping) capability. The proposed regenerator is a novel device that has the potential to extend the reach and reduce the cost of fiber based optical transmission systems. The proposal covers both the mathematical design, optimization, simulation and the initial experimental testing of the planned system. Mathematically, the proposed device requires a complex study of the evolution of an intense pulse in a ?ber with periodic dispersion compensation. This problem is different from that of pulse propagation in dispersion-managed transmission systems, because in the latter case, the propagation is only weakly nonlinear. We expect that the outcome of the mathematical part of this project will be a theory that will describe both the pulse propagation under the conditions described above and the effect of perturbations on this propagation. No such a theory exists at the present time.The proposed regenerator can potentially be used for any number of channels and does not require their temporal synchronization or any polarization control. The co-PIs have recently numerically demonstrated the feasibility of such a 2R regenerator, which, to the best of their knowledge, was the first demonstration of multi-channel all-optical regeneration under the above conditions.