In this work, mode-division multiplexing (MDM) phase-sensitive amplification (PSA) for all-optical mode selective and mode equalized phase regeneration is presented and investigated. MDM PSA relies on reasonable phase-matching conditions, which makes intramode four-wave mixing in the fiber much stronger than that of cross-mode. It enables multimode signals to interact mainly with the same spatial mode pumps and idlers. Thus, MDM signals can obtain synchronous phase regeneration and avoid cross talk with different mode signals. To achieve this, we designed an appropriate few-mode fiber by an inverse design method based on a neural network for obtaining the desired phase mismatch and low modal dispersion. The results show that effective phase regeneration can be achieved for the degraded 40 Gbit/s binary phase shift keying (BPSK) and quadrature phase shift keying (QPSK) signals. For BPSK signals, error vector magnitudes (EVMs) of the regenerated signal on two modes are reduced from $-{8.013}\;{\rm dB}$ and $-{8.068}\;{\rm dB}$ to $-{24.867}\;{\rm dB}$, and $-{26.090}\;{\rm dB}$, respectively. For QPSK signals, the EVMs are reduced from $-{16.767}\;{\rm dB}$ and $-{16.583}\;{\rm dB}$ to $-{24.867}\;{\rm dB}$ and $-{24.822}\;{\rm dB}$, respectively.

中文翻译：

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用于模式选择和模式均衡相位再生放大的模分复用相敏放大

在这项工作中，提出并研究了用于全光模式选择性和模式均衡相位再生的模分复用 (MDM) 相敏放大 (PSA)。MDM PSA 依赖于合理的相位匹配条件，这使得光纤中的模内四波混合比交叉模式强得多。它使多模信号主要与相同的空间模式泵和惰轮相互作用。因此，MDM 信号可以获得同步相位再生并避免与不同模式信号的串扰。为了实现这一点，我们通过基于神经网络的逆向设计方法设计了一种合适的少模光纤，以获得所需的相位失配和低模态色散。结果表明，对于退化的 40 Gbit/s 二进制相移键控 (BPSK) 和正交相移键控 (QPSK) 信号，可以实现有效的相位再生。对于 BPSK 信号，两种模式下再生信号的误差矢量幅度 (EVM) 从$-{8.013}\;{\rm dB}$和$-{8.068}\;{\rm dB}$到$-{24.867}\;{\rm dB}$和$-{26.090}\; {\rm dB}$，分别。对于 QPSK 信号，EVM 从$-{16.767}\;{\rm dB}$和$-{16.583}\;{\rm dB}$ 减少到$-{24.867}\;{\rm dB}$和$-{24.822}\;{\rm dB}$分别。