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五阶非线性光纤中暗孤子的演化特性

Evolution properties of dark solitons in optical fibers with quintic nonlinearity

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【作者】 钟先琼向安平

【Author】 ZHONG Xian-qiong, XIANG An-ping (Department of Optoelectronics and Technology, Chengdu University of Information Technology, Chengdu 610225, China)

【机构】 成都信息工程学院光电技术系

【摘要】 为探讨五阶非线性对暗孤子波形演化的影响,从光纤中包含五阶非线性效应的扩展非线性薛定谔方程出发,采用分步傅里叶算法,计算模拟了不同五阶非线性参数下一至三阶暗孤子的波形随传输距离的演化规律。结果表明,正五阶非线性对暗孤子的演化影响小,几乎难以观察到,而负五阶非线性的影响则较大,其主要作用是增加暗孤子演化过程中的灰孤子对数,且随着暗孤子阶数的增大,出现的灰孤子对数也增多;越远离中心,灰孤子的黑度越小;随着距离增加,灰孤子逐渐远离中心,黑度也逐渐增大。该研究对暗孤子传输的深入研究有一定的意义。

【Abstract】 To investigate the effects of quintic nonlinearity on the shape evolution of dark soliton, starting from the extended nonlinear Schr?dinger equations including quintic nonlinearity in optical fibers, adopting the split-step Fourier algorithm, the shape evolution of first to third order solitons with propagating distance was computer simulated for different parameters of quintic nonlinearity. The results show that the effects of positive quintic nonlinearity on the evolution of dark solitons are slight and can hardly be observed. While the negative quintic nonlinearity will influence greatly on the evolution of dark solitons. And the main function of the negative quintic nonlinearity is to increase the number of the gray soliton pairs generating in course of evolution of dark soliton. Moreover, the number of gray soliton pairs generated will increase with increase of the order of dark soliton. Farther away from the center, smaller the black degree of the gray solitons is. Furthermore, with increase of the distance, the gray solitons will depart from the center gradually and the black degree of the gray solitons will increase. This investigation is of certain significance for the deep researching of the dark soliton propagation.

【基金】 四川省教育厅自然科学重点项目(2006A124);四川省科技厅应用基础项目(05JY029-084);成都信息工程学院科技发展基金资助项目(KYTZ20060604)
  • 【会议录名称】 第二届红外成像系统仿真测试与评价技术研讨会论文集
  • 【会议名称】第二届红外成像系统仿真测试与评价技术研讨会
  • 【会议时间】2008-07
  • 【会议地点】中国黑龙江哈尔滨
  • 【分类号】O437
  • 【主办单位】中国宇航学会光电技术专业委员会
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