Volume 45 Issue 4
May  2016
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He Jingbo, Xu Jianghu. Nonlinear evolution of zero-dispersion optical fiber channel[J]. Infrared and Laser Engineering, 2016, 45(4): 422004-0422004(5). doi: 10.3788/IRLA201645.0422004
Citation: He Jingbo, Xu Jianghu. Nonlinear evolution of zero-dispersion optical fiber channel[J]. Infrared and Laser Engineering, 2016, 45(4): 422004-0422004(5). doi: 10.3788/IRLA201645.0422004

Nonlinear evolution of zero-dispersion optical fiber channel

doi: 10.3788/IRLA201645.0422004
  • Received Date: 2015-08-12
  • Rev Recd Date: 2015-09-15
  • Publish Date: 2016-04-25
  • It is considered that optical fiber channels modeled by the stochastic nonlinear Schrodinger equation and operating at zero dispersion. The statistic characteristic of optical fiber channel with noise was analyzed. In order to find the capacity of the dispersionless optical fiber channel, one first needs to statistically model the communication channel. The Schrodinger equation added noise was modeled. The stochastic differential equations(SDEs) in polar coordinates were built by using It formula. The Fokker-Planck equation of SDEs were presented and the probability density function(PDF) was given. As a result of the Kerr nonlinearity and its interaction with amplified spontaneous emission noise, the amplitude and phase channels correlate with each other and the statistics of the received signal are non-Gaussian.
  • [1] Qiao Hailong, Jia Weiguo, Liu Baolin, et al. Effect of Ramam gain on the characteristic of soliton propagation[J]. Acta Phys, 2013, 62(10):104212. (in Chinese)乔海龙, 贾维国, 刘宝林, 等. 拉曼增益对孤子传输特性的影响[J]. 物理学报, 2013, 62(10):104212.
    [2] Nga N T H, Sangirov J, Joo G C, et al. 10 Gbps/ch full-duplex optical link using a single-fiber channel for signal transimission[J]. IEEE Photonics Technology Letters, 2014, 26(6):609-612.
    [3] Hager C, Beygi L, Agrell E, et al. A low-complexity detector for memoryless polarization-multiplexed fiber optical channels[J]. IEEE Communications Letters, 2014, 18(2):368-371.
    [4] Beygi L, Agrell E, Johannisson P, et al. A discrete-time model for uncompensated sigle-channel fiber optical links[J]. IEEE Transactions on Communications, 2012, 60(11):3440-3450.
    [5] Silva N A, Almeida A J, Pinto A N. Interference in a quantum channel due to classical four-wave mixing in optical fibers[J]. IEEE Journal of Quantum Electronics, 2012, 48(4):472-479.
    [6] Zhao Jiasheng. Influences of finite gain bandwidth on evolution of self-Similar pulse propagation in fiber amplifiers[J]. Chinese J Lasers, 2012, 39(8):0802006. (in Chinese)赵佳生. 光纤放大器中有限增益带宽对自相似脉冲放大演化的数值研究[J]. 中国激光, 2012, 39(8):0802006.
    [7] Xiang Lian, Li Hu, Zhang Xiaoping. Modified perturbation method for multi-span nonlinear fiber[J]. Chinese J Lasers, 2010, 37(4):1033-1036. (in Chinese)向练, 李虎, 张晓萍. 多跨距非线性光纤链路中基于微扰理论的优化方法[J]. 中国激光, 2010, 37(4):1033-1036.
    [8] Li Chao, Zhao Lei, Huang Zhihua et al. Theory study on self-similar pulse in mode-locked fiber laser[J]. Chinese J Lasers, 2013, 40(6):0602017-1-0602017-6. (in Chinese)李超, 赵磊, 黄志华, 等. 自相似脉冲在锁模光纤激光器中产生的理论研究[J]. 中国激光, 2013, 40(6):0602017.
    [9] Ren Liping. Selfsimilar propagation of linearly chirped pulses in fibers with longitudinal gain profile[J]. Acta Photonica Sinica, 2012, 41(8):1004-1008. (in Chinese)任丽平. 线性光脉冲在具有纵向增益光纤中的自相似传播研究[J]. 光子学报, 2012, 41(8):1004-1008.
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Nonlinear evolution of zero-dispersion optical fiber channel

doi: 10.3788/IRLA201645.0422004
  • 1. College of Electronics Engineering,Naval University of Engineering,Wuhan 430033,China

Abstract: It is considered that optical fiber channels modeled by the stochastic nonlinear Schrodinger equation and operating at zero dispersion. The statistic characteristic of optical fiber channel with noise was analyzed. In order to find the capacity of the dispersionless optical fiber channel, one first needs to statistically model the communication channel. The Schrodinger equation added noise was modeled. The stochastic differential equations(SDEs) in polar coordinates were built by using It formula. The Fokker-Planck equation of SDEs were presented and the probability density function(PDF) was given. As a result of the Kerr nonlinearity and its interaction with amplified spontaneous emission noise, the amplitude and phase channels correlate with each other and the statistics of the received signal are non-Gaussian.

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