[1] Ferreira F, Jansen S, Monteiro P, et al. Nonlinear semi-analytical model for simulation of few-mode fiber transmission[J]. IEEE Photonics Technology Letters, 2012, 24(4): 240-242.

[2] Li S H, Wang J. Supermode fiber for orbital angular momentum (OAM) transmission[J]. Optics Express, 2015, 23(14): 18736-18745.

[3] Mizuno T, Takara H, Sano A, et al. Dense space-division multiplexed transmission systems using multi-core and multi-mode fiber[J]. Journal of Lightwave Technology, 2016, 34(2): 582-592.

[4] Ferreira F M. Fonseca D, da Silva H J A. Design of few-mode fibers with M-modes and low differential mode delay[J]. Journal of Lightwave Technology, 2014, 32(3): 353-360.

[5] Li H S, Ren G B, Lian Y D, et al. Broadband orbital angular momentum transmission using a hollow-core photonic bandgap fiber[J]. Optics Letters, 2016, 41(15): 3591-3594.

[6] Li R L, Fang W L, Tang C J, et al. An optical MIMO transmission system over 80 km of two-mode fiber using DSP[J]. Proceedings of SPIE, 2011, 8309: 83091A.

[7] ZhangX, LiY, Du WT, et al. Compensation of mode coupling of mode-division multiplexing transmission system with MIMO CMA[C]∥Asia Communications and Photonics Conference 2013, November 12-15, 2013, Beijing, China. Washington, D.C.: OSA, 2013: AW3E. 1.

[8] Agrawal GP. Nonlinear fiber optics, applications of nonlinear fiber optics[M]. Jia D F, Yu Z H, Transl. 2nd ed. Beijing: Publishing House of Electronics Industry, 2010: 12-28, 171- 173.

    Agrawal GP. 非线性光纤光学原理及应用[M]. 贾东方, 余震虹, 译. 2版. 北京: 电子工业出版社, 2010: 12-28, 171- 173.

[9] 万峰, 武保剑, 曹亚敏, 等. 四波混频泵浦消耗过程的相位匹配条件研究[J]. 光子学报, 2019, 48(2): 0219001.

    Wan F, Wu B J, Cao Y M, et al. Study on phase matching condition at pump depletion in four-wave mixing[J]. Acta Photonica Sinica, 2019, 48(2): 0219001.

[10] Mateo E, Zhu L K, Li G F. Impact of XPM and FWM on the digital implementation of impairment compensation for WDM transmission using backward propagation[J]. Optics Express, 2008, 16(20): 16124-16137.

[11] ChenX, LiuX, ChandrasekharS, et al. Experimental demonstration of fiber nonlinearity mitigation using digital phase conjugation[C]∥Optical Fiber Communication Conference, March 4-8, 2012, Los Angeles, California, United States. Washington, D.C.: OSA, 2012: OTh3C. 1.

[12] Essiambre R J, Mestre M A, Ryf R, et al. Experimental observation of inter-modal cross-phase modulation in few-mode fibers[J]. IEEE Photonics Technology Letters, 2013, 25(6): 535-538.

[13] BrehlerM, Krummrich PM. Impact of WDM channel count on nonlinear effects in MDM transmission systems[C]∥Optical Fiber Communication Conference, March 19-23, 2017, Los Angeles, California, United States. Washington, D.C.: OSA, 2017: Th2A. 63.

[14] 王卓, 武保剑, 文峰, 等. 非线性光纤萨尼亚克结构的磁控特性[J]. 光学学报, 2017, 37(10): 1023001.

    Wang Z, Wu B J, Wen F, et al. Magnetic control characteristics of nonlinear fiber Sagnac structure[J]. Acta Optica Sinica, 2017, 37(10): 1023001.

[15] Mishra V, Haldar R, Mondal P, et al. Efficient all-optical transistor action in short-length multimode optical fibers[J]. Journal of Lightwave Technology, 2018, 36(13): 2582-2588.

[16] 吴金达, 卢瑾, 任宏亮, 等. 基于广义回归神经网络的CO-OFDM系统非线性均衡[J]. 光学学报, 2018, 38(9): 0906002.

    Wu J D, Lu J, Ren H L, et al. Nonlinear equalizer based on general regression neural network in coherent optical OFDM system[J]. Acta Optica Sinica, 2018, 38(9): 0906002.

[17] Rademacher G, Luís R S, Puttnam B J, et al. Investigation of intermodal nonlinear signal distortions in few-mode fiber transmission[J]. Journal of Lightwave Technology, 2019, 37(4): 1273-1279.

[18] 张德丰. MATLAB神经网络应用设计[M]. 2版. 北京: 机械工业出版社, 2012: 315.

    Zhang DF. MATLAB neural network application design[M]. 2nd ed. Beijing: China Machine Press, 2012: 315.

[19] Xiao Y Z, Essiambre R J, Desgroseilliers M, et al. Theory of intermodal four-wave mixing with random linear mode coupling in few-mode fibers[J]. Optics Express, 2014, 22(26): 32039-32059.

[20] Palais JC. Fiber optic communications[M]. Wang J P, Liu J, Wen C H, et al., Transl. 5th ed. Beijing: Publishing House of Electronics Industry, 2011: 103- 136.

    Palais JC. 光纤通信[M]. 王江平, 刘杰, 闻传花, 等, 译. 5版. 北京: 电子工业出版社, 2011: 103- 136.

[21] 梁骁. 新型少模光纤波导特性分析及其器件的研制[D]. 北京: 北京交通大学, 2016: 21- 62.

    LiangX. Characteristic analysis and development of novel few mode fiber and related devices[D]. Beijing: Beijing Jiaotong University, 2016: 21- 62.

[22] 步扬, 王向朝. 基于频域相位共轭技术的交叉相位调制所致失真的复原[J]. 物理学报, 2005, 54(10): 4747-4753.

    Bu Y, Wang X Z. Suppression of pulse impairments due to cross-phase modulation by frequency domain phase conjugation[J]. Acta Physica Sinica, 2005, 54(10): 4747-4753.

[23] 曹亚敏, 武保剑, 万峰. 三通道光相位混合运算器[J]. 光学学报, 2018, 38(12): 1206005.

    Cao Y M, Wu B J, Wan F. Hybrid operators of three-channel optical phase[J]. Acta Optica Sinica, 2018, 38(12): 1206005.