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拉曼增益对孤子传输特性的影响

乔海龙 贾维国 刘宝林 王旭东 门克内木乐 杨军 张俊萍

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拉曼增益对孤子传输特性的影响

乔海龙, 贾维国, 刘宝林, 王旭东, 门克内木乐, 杨军, 张俊萍

Effect of Ramam gain on the characteristic of soliton propagation

Qiao Hai-Long, Jia Wei-Guo, Liu Bao-Lin, Wang Xu-Dong, Menke Neimule, Yang Jun, Zhang Jun-Ping
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  • 利用考虑拉曼增益效应的非线性薛定谔方程, 在忽略光纤损耗的情况下, 采用基于MATLAB的分步傅里叶数值算法, 得出线性算符和非线性算符具体的表达式, 分步作用于光孤子脉冲传输方程, 仿真模拟了光孤子在光纤中传输时的演变. 与不考虑拉曼增益的光孤子在光纤中传输相对比, 探析了拉曼增益对孤子传输特性的影响.拉曼增益会破坏孤子的传输周期, 导致孤子在光纤中传输时快速衰减, 并且影响程度和输入孤子的脉冲峰值功率大小有关, 拉曼增益对基态孤子和高阶孤子的影响也不相同.
    Using the nonlinear Schrödinger equation (NLSE) including Raman gain effect but ignoring fiber loss situation, the linear operator and nonlinear operator specific expression are obtained based on MATLAB fractional Fourier numerical algorithm. They are applied to the NLSE including Raman gain, and the evolutions of soliton pulse are simulated in optical fiber through changing parameters. The result shows that soliton propagation stability is destroyed compared with the case considering no Raman gain, leading to the rapid attenuation of optical soliton. The influence degree depends on input soliton pulse peak power. The effects of Raman gain on ground state soliton and high order soliton are not the same.
    • 基金项目: 国家自然科学基金(批准号: 61167004)和 内蒙古自然科学基金(批准号: 2010MS0102)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61167004) and Nature Science Foundation of Inner Mongolia, China (Grant No. 2010MS0102).
    [1]

    Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp136-190

    [2]

    Diaz-Otero F J, Chamorro-Posada P 2012 Math. Comput. Simulat. 82 1093

    [3]

    Ganapathy R 2012 Commun. Nonlinear Sci. 17 4544

    [4]

    Louangvilay X, Mitatha S, Yoshida M, Komine N, Yupapin P P 2012 Opt. Eng. 51 5010

    [5]

    Huang K, Han R Q 2010 Solid-State Physics (1st Ed.) (Beijing: Higher Education Press) p513 (in Chinese) [黄昆, 韩汝琦 2010 固体物理学 (北京: 高等教育出版社) 第513页]

    [6]

    Jia W G, Qiao L R, Wang X Y 2012 Acta Phys. Sin. 61 094215 (in Chinese) [贾维国, 乔丽荣, 王旭颖 2012 物理学报 61 094215]

    [7]

    Wang X Y, Jia W G, Yin J Q 2011 Acta Opt. Sin. 31 0606001 (in Chinese) [王旭颖, 贾维国, 尹建全 2011 光学学报 31 606001]

    [8]

    Jia W G, Qiao L R, Wang X Y 2012 Acta Phys. Sin. 61 194209 (in Chinese) [贾维国, 乔丽荣, 王旭颖 2012 物理学报 61 194209]

    [9]

    Lin Q, Agrawal G P 2006 Opt. Lett. 31 3086

    [10]

    Bale B G, Boscolo S 2010 J. Opt. 84 015202

    [11]

    Lin Q, Painter O J, Agrawal G P 2007 Opt. Express 15 16604

    [12]

    Li L, Yin A 2011 Optik 122 1195

    [13]

    Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp101-102

    [14]

    Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp227-232

  • [1]

    Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp136-190

    [2]

    Diaz-Otero F J, Chamorro-Posada P 2012 Math. Comput. Simulat. 82 1093

    [3]

    Ganapathy R 2012 Commun. Nonlinear Sci. 17 4544

    [4]

    Louangvilay X, Mitatha S, Yoshida M, Komine N, Yupapin P P 2012 Opt. Eng. 51 5010

    [5]

    Huang K, Han R Q 2010 Solid-State Physics (1st Ed.) (Beijing: Higher Education Press) p513 (in Chinese) [黄昆, 韩汝琦 2010 固体物理学 (北京: 高等教育出版社) 第513页]

    [6]

    Jia W G, Qiao L R, Wang X Y 2012 Acta Phys. Sin. 61 094215 (in Chinese) [贾维国, 乔丽荣, 王旭颖 2012 物理学报 61 094215]

    [7]

    Wang X Y, Jia W G, Yin J Q 2011 Acta Opt. Sin. 31 0606001 (in Chinese) [王旭颖, 贾维国, 尹建全 2011 光学学报 31 606001]

    [8]

    Jia W G, Qiao L R, Wang X Y 2012 Acta Phys. Sin. 61 194209 (in Chinese) [贾维国, 乔丽荣, 王旭颖 2012 物理学报 61 194209]

    [9]

    Lin Q, Agrawal G P 2006 Opt. Lett. 31 3086

    [10]

    Bale B G, Boscolo S 2010 J. Opt. 84 015202

    [11]

    Lin Q, Painter O J, Agrawal G P 2007 Opt. Express 15 16604

    [12]

    Li L, Yin A 2011 Optik 122 1195

    [13]

    Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp101-102

    [14]

    Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp227-232

计量
  • 文章访问数:  5458
  • PDF下载量:  590
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-12-03
  • 修回日期:  2013-01-19
  • 刊出日期:  2013-05-05

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