高阶色散对高斯脉冲在超常介质中传输的影响及色散的补偿

doi:10.3969/j.issn.1000-5641.2017.04.011

华东师范大学学报(自然科学版) ›› 2017, Vol. ›› Issue (4): 126-138.doi: 10.3969/j.issn.1000-5641.2017.04.011

高阶色散对高斯脉冲在超常介质中传输的影响及色散的补偿

徐正国, 薛燕陵

华东师范大学通信工程系, 上海 200241

收稿日期:2016-07-26 出版日期:2017-07-25 发布日期:2017-07-20
通讯作者: 薛燕陵,女,教授,博士生导师,研究方向为光通信.E-mail:ylxue@ee.ecnu.edu.cn. E-mail:ylxue@ee.ecnu.edu.cn
作者简介:徐正国,男,硕士研究生,研究方向为光通信与光电子器件.E-mail:xuzg2017@163.com.
基金资助:
国家自然科学基金（11234003，91436211）

Influence of high-order dispersions on the propagation of Gaussian pulse and the compensation of dispersion in metamaterial

XU Zheng-guo, XUE Yan-ling

Department of Communication Engineering, East China Normal University, Shanghai 200241, China

Received:2016-07-26 Online:2017-07-25 Published:2017-07-20

摘要/Abstract

摘要： 文中对超常介质和一些常规介质中色散系数进行了对比研究，发现超常介质中的各阶色散系数大于常规介质的色散系数大约3个数量级，也即在信号的传输过程中不再能忽略高阶色散的影响.基于非线性薛定谔方程，研究了高斯脉冲在超常介质中传输及各阶色散对脉冲形状的影响.发现在常规超常介质中三阶色散所致脉冲分裂是一个非常严重的问题.通过调整超常介质的结构参数，找到了既可使二阶色散得以补偿、又可使得高斯脉冲传输120km而不出现分裂的真正可用于通信的情形.

关键词: 超常介质, 色散, 非线性薛定谔方程, 高斯脉冲, 色散补偿

Abstract: This paper compares the dispersion in metamaterial and in some conventional media. It is found that each order of the dispersion in metamaterial is larger in three orders of magnitude than that in conventional media, so that high-order dispersions have to be taken into consideration in the signal propagation. We analyze the impact of each order of the dispersion on the propagation of Gaussian light pulse based on the nonlinear Schrödinger equation and the beam propagation method (BPM). We find that third-order dispersion leads to a serious pulse splitting. A case is found in which Gaussian pulse can propagate in metamaterial to 120km without splits and second dispersion can be compensated by adjusting structure of metamaterial. This is significant to optical communications.

Key words: metamaterial, dispersion, nonlinear Schrödinger equation, Gaussian pulse, dispersion compensation

中图分类号:

TN913.7

徐正国, 薛燕陵. 高阶色散对高斯脉冲在超常介质中传输的影响及色散的补偿[J]. 华东师范大学学报(自然科学版), 2017, (4): 126-138.

XU Zheng-guo, XUE Yan-ling. Influence of high-order dispersions on the propagation of Gaussian pulse and the compensation of dispersion in metamaterial[J]. Journal of East China Normal University(Natural Sc, 2017, (4): 126-138.

参考文献

[1] SIMTH D R, KROLL N. Negative refractive index in left-handed materials [J]. Phys Rev Lett, 2000, 85(14): 2933-2936.
[2] VESELAGO V G. The electrodynamics of substances with simultaneously negative values of μ and "[J]. Sov Phys Usp, 1968, 10(4): 509-514.
[3] BERMAN P R. Goos-Hächen shift in negatively refractive media [J]. Phys Rev E, 2002, 66(6): 067603
[4] ZHAROV A A, SHADRIVOV I V, KIVSHAR Y S. Nonlinear properties of left-handed metamaterials [J]. Phys Rev Lett, 2005, 30(24), 3356-3358
[5] LAZARIDES N, TSIRONIS G P. Coupled nonlinear Schröinger field equations for electromagnetic wave propagation in nonlinear left-handed materials [J]. Phys Rev E, 2005, 71: 036614.
[6] ZIOLKOWSKI R W. Superluminal transmission of information through an electromagnetic metamaterial [J]. Phys Rev E, 2001, 63: 046604.
[7] ZIOLKOWSKI R W. Pulsed and CW Gaussian beam interactions with double negative metamaterial slabs [J]. Opt Exp, 2003, 11: 662-681.
[8] WEN S C, XIANG Y J, DAI X Y, et al. Theoretical models for ultrashort electromagnetic pulse propagation in nonlinear metamaterials [J]. Phys Rev A, 2007, 75: 033815.
[9] JOSEPH A, PORSEZIAN K. Stability criterion for Gaussian pulse propagation through negative index materials[J]. Phys Rev A, 2010, 81: 023805.
[10] SARMA A K. Solitary wave solution to the generalized nonlinear Schrödinger equation for dispersive permittivity and permeability [J]. Eur Phys J D, 2011, 62: 421.
[11] SARMA A K. Modulational instability of coupled nonlinear field equations for pulse propagation in a negative index material embedded into a Kerr medium [J]. J Opt Soc Am B(JOSA–B), 2011, 28(4): 944.
[12] SAHA M, SARMA A K. Modulation instability in nonlinear metamaterials induced by cubic-quantic nonlinearities and higher order dispersive effects [J]. Opt Commn, 2012, 291: 321-325. DOI: 10.1016/j.optcom.2012.11.011.
[13] SCALORA M, SYRCHIN M S,AKOZBEK N, et al. Generalized non-linear Schrödinger equation for dispersive susceptibility and permeability: Application to negative index materials [J]. Phys Rev Lett, 2005, 95(1): 013902.
[14] YANG R, ZHANG Y. Exact combined solitary wave solutions in nonlinear metamaterials [J]. J Opt Soc Am B(JOSA–B), 2011, 28, 123-127.
[15] THORLABS. Inc: Dispersion-compensating prism pairs for ultrafast lasers[EB/OL]. [2016-04-10]. https://www.thorlabschina.cn/images/TabImages/AFSprismsGVDG2-480.gif.
[16] THORLABS.Inc: Dispersion-compensating prism pairs for ultrafast lasers[EB/OL]. [2016-04-10]. https://www.thorlabschina.cn/images/TabImages/AFS prisms TOD G2-800.gif.

高阶色散对高斯脉冲在超常介质中传输的影响及色散的补偿

Influence of high-order dispersions on the propagation of Gaussian pulse and the compensation of dispersion in metamaterial

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

编辑推荐

Metrics

本文评价

[1]	李双双. 非齐次非线性薛定谔方程新的爆破准则[J]. 华东师范大学学报（自然科学版）, 2020, 2020(4): 64-71.
[2]	廖宇娇, 董光炯. 玻色-爱因斯坦凝聚体的光学色散关系[J]. 华东师范大学学报（自然科学版）, 2020, 2020(2): 76-82.
[3]	姚红玉;刘粤钳 . HFT在非平稳信号组份分析中的应用 [J]. 华东师范大学学报(自然科学版), 2007, 2007(1): 119-126.
[4]	贺秀霞;聂小兵. 一类非线性三波耦合方程组的精确解[J]. 华东师范大学学报(自然科学版), 2003, 2003(2): 11-15.