arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1104.4527physics.optics
收藏

强模耦合多模光纤中群时延的统计特性

Statistics of Group Delays in Multimode Fiber with Strong Mode Coupling

Keang-Po Ho, Joseph M. Kahn

摘要:

多模光纤中的模式群时延是影响信号色散的重要因素。当磁动势的总长度远大于相关长度时,磁动势处于强耦合状态,在相关长度上,局部主模可以被认为是恒定的。在这种情况下,GD可以被描述为零迹高斯酉系综的本征值,并且概率密度函数(p.d.f.)是系综的本征值分布。对于具有二至七个模式的光纤,边缘p.d.f.的GD是通过分析得出的。对于具有大量模式的光纤,该p.d.f.接近一个周期分布。在强耦合状态下,延迟扩展与独立段数的平方根或光纤总长度的平方根成比例。本次修改也对原论文做了澄清,群时延统计也扩展到了高模数。

英文摘要:

The modal group delays (GDs) are a key property governing the dispersion of signals propagating in a multimode fiber (MMF). A MMF is in the strong-coupling regime when the total length of the MMF is much greater than the correlation length over which local principal modes can be considered constant. In this regime, the GDs can be described as the eigenvalues of zero-trace Gaussian unitary ensemble, and the probability density function (p.d.f.) of the GDs is the eigenvalue distribution of the ensemble. For fibers with two to seven modes, the marginal p.d.f. of the GDs is derived analytically. For fibers with a large number of modes, this p.d.f. is shown to approach a semicircle distribution. In the strong-coupling regime, the delay spread is proportional to the square root of the number of independent sections, or the square root of the overall fiber length. This revision also made clarification to the original paper, the group delay statistics is also extended to high number of modes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑