MDG损伤的光学SDM传输中容量分布的分析模型
Analytic Models for the Capacity Distribution in MDG-impaired Optical SDM Transmission
AI总结：
本文针对MDG损伤的耦合SDM传输系统，提出了任意模式数下容量分布的解析模型，基于高斯近似和拟合参数，在广泛实际场景中与仿真结果精度相当。
摘要：
在耦合的空分复用（SDM）传输系统中，光放大器和无源器件的缺陷会引入模式相关损耗（MDL）和增益（MDG）。这些效应使信道容量变得随机，并导致平均容量下降。此前多项研究采用多段仿真来建模这些系统的容量。此外，相关工作针对具有偏振相关增益和损耗的单模系统（模式数 D = 2）解析推导了容量分布。然而，据我们所知，对于 D > 2 的系统，容量分布的解析表达式尚未被提出。在本文中，我们为具有任意模式数的光学系统提供了容量的解析表达式。这些表达式依赖于对每模式容量分布和整体容量分布的高斯近似，以及用于不同模式间容量互相关的拟合参数。与仿真相比，所推导的解析表达式在广泛的实际场景中展现出适当的精度水平。
英文摘要：
In coupled space-division multiplexing (SDM) transmission systems, imperfections in optical amplifiers and passive devices introduce mode-dependent loss (MDL) and gain (MDG). These effects render the channel capacity stochastic and result in a decrease in average capacity. Several previous studies employ multi-section simulations to model the capacity of these systems. Additionally, relevant works derive analytically the capacity distribution for a single-mode system with polarization-dependent gain and loss (mode count D = 2). However, to the best of our knowledge, analytic expressions of the capacity distribution for systems with D > 2 have not been presented. In this paper, we provide analytic expressions for the capacity of optical systems with arbitrary mode counts. The expressions rely on Gaussian approximations for the per-mode capacity distributions and for the overall capacity distribution, as well as on fitting parameters for the capacity cross-correlation among different modes. Compared to simulations, the derived analytical expressions exhibit a suitable level of accuracy across a wide range of practical scenarios.
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