论文标题

非线性Schrödinger通道的时间限制波形,其时间最少的时间扩展

Time-Limited Waveforms with Minimum Time Broadening for the Nonlinear Schrödinger Channel

论文作者

Jaffal, Youssef, Alvarado, Alex

论文摘要

可以使用孤立的时量脉冲的能量调制来实现简单的光纤通信系统。基本的孤子是提供基本优势的这种脉冲的一种可能解决方案:它们的形状不受纤维散落和非线性的影响。此外,可以在接收器上使用简单的能量检测器来检测传输信息。但是,基于孤子的能量调制的系统在数据速率方面没有竞争力。这部分是由于以下事实:孤子的有效时间取决于其所选振幅。在本文中,我们提议用新的时限波形替代基本孤子,这些波形可以使用能量检测器检测,并免疫纤维畸变。我们提出的解决方案依赖于pr素的球形波函数和数值优化常规。获得了沿光纤沿最短时间扩展的时间限制波形,并显示出表现优于基本孤子。在二元传输和单个光纤的情况下,我们报告的速率分别比损耗和无损纤维的速率分别增加了33.8%和12%。此外,我们表明,随着使用水平的数量增加,所提出的系统的传输速率增加,由于其有效的时间振幅限制,基本孤子的情况并非如此。例如,使用四个能级时,报告的速率分别增加了164%和70%,而无损纤维的速率分别增加了。

Simple fiber optic communication systems can be implemented using energy modulation of isolated time-limited pulses. Fundamental solitons are one possible solution for such pulses which offer a fundamental advantage: their shape is not affected by fiber disperison and nonlinearity. Furthermore, a simple energy detector can be used at the receiver to detect the transmitted information. However, systems based on energy modulation of solitons are not competitive in terms of data rates. This is partly due to the fact that the effective time duration of a soliton depends on its chosen amplitude. In this paper, we propose to replace fundamental solitons by new time-limited waveforms that can be detected using an energy detector, and that are immune to fiber distortions. Our proposed solution relies on the prolate spheroidal wave functions and a numerical optimization routine. Time-limited waveforms that undergo minimum time broadening along an optical fiber are obtained and shown to outperform fundamental solitons. In the case of binary transmission and a single span of fiber, we report rate increases of 33.8% and 12% over lossy and lossless fibers, respectively. Furthermore, we show that the transmission rate of the proposed system increases as the number of used energy levels increases, which is not the case for fundamental solitons due to their effective time-amplitude constraint. For example, rate increases of 164% and 70% over lossy and lossless fibers respectively are reported when using four energy levels.

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