SRS-Net: a universal framework for solving stimulated Raman scattering in nonlinear fiber-optic systems by physics-informed deep learning

Yuchen Song, Min Zhang, Xiaotian Jiang, Fan Zhang, Cheng Ju, Shanguo Huang, Alan Pak Tao Lau, Danshi Wang
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Abstract

As a crucial nonlinear phenomenon, stimulated Raman scattering (SRS) plays multifaceted roles involved in forward and inverse problems. In fibre-optic systems, these roles range from detrimental interference that impairs optical performance to beneficial effects that enables various devices such as Raman amplifier. To obtain solutions of SRS, various numerical methods customized for different scenarios have been proposed. However, these methods are time-consuming, low-efficiency, and experience-orientated, particularly in combined scenarios consisting of both forward and inverse problems. Inspired by physics-informed neural networks, we propose SRS-Net, which combines the efficient automatic differentiation and powerful representation ability of neural networks with the regularization of SRS physical laws, to obtain universal solutions for SRS of forward, inverse, and combined problems. We showcase the intuitive solving procedure and high-speed performance of SRS-Net through extensive simulations covering different scenarios. Additionally, we validate its capabilities in experiments involving the high-fidelity modelling of a wavelength division multiplexing system spanning the C + L-band with approximately 10 THz. The versatility of the SRS-Net framework extends beyond SRS, indicating its potential as a promising universal solution in other engineering problems with nonlinear dynamics governed by partial differential equations. Yuchen Song and colleagues develop a neural network-based framework for solving both forward and inverse problems of stimulated Raman scattering. This physics-informed framework called SRS-Net helps wideband power prediction, Raman pump optimization, and physical parameter identification in fibre optics.

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SRS-Net:通过物理信息深度学习解决非线性光纤系统中受激拉曼散射问题的通用框架。
作为一种重要的非线性现象,受激拉曼散射(SRS)在正向和反向问题中发挥着多方面的作用。在光纤系统中,这些作用既包括损害光学性能的有害干扰,也包括实现拉曼放大器等各种设备的有益效应。为了获得 SRS 的解决方案,人们提出了针对不同情况定制的各种数值方法。然而,这些方法耗时长、效率低,而且以经验为导向,特别是在由正向和反向问题组成的组合场景中。受物理信息神经网络的启发,我们提出了 SRS-Net,它将神经网络高效的自动微分和强大的表示能力与 SRS 物理定律的正则化相结合,从而获得正向、反向和组合问题的 SRS 通用解。我们通过大量涵盖不同场景的模拟,展示了 SRS-Net 直观的求解过程和高速性能。此外,我们还在实验中验证了 SRS-Net 的能力,实验涉及对波分复用系统进行高保真建模,该系统跨越 C + L 波段,频率约为 10 太赫兹。SRS-Net 框架的多功能性超出了 SRS 的范围,表明它有潜力成为其他工程问题的通用解决方案,解决由偏微分方程控制的非线性动态问题。
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