中国综合性科技类核心期刊(北大核心)

中国科学引文数据库来源期刊(CSCD)

美国《化学文摘》(CA)收录

美国《数学评论》(MR)收录

俄罗斯《文摘杂志》收录

Message Board

Respected readers, authors and reviewers, you can add comments to this page on any questions about the contribution, review, editing and publication of this journal. We will give you an answer as soon as possible. Thank you for your support!

Name
E-mail
Phone
Title
Content
Verification Code
Issue 4
Jul.  2017
Turn off MathJax
Article Contents
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 Sciences), 2017, (4): 126-138. doi: 10.3969/j.issn.1000-5641.2017.04.011
Citation: 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 Sciences), 2017, (4): 126-138. doi: 10.3969/j.issn.1000-5641.2017.04.011

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

doi: 10.3969/j.issn.1000-5641.2017.04.011
  • Received Date: 2016-07-26
  • Publish Date: 2017-07-25
  • 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.
  • loading
  • [1]
    SIMTH D R, KROLL N. Negative refractive index in left-handed materials [J]. Phys Rev Lett, 2000, 85(14): 2933-2936. doi:  10.1103/PhysRevLett.85.2933
    [2]
    VESELAGO V G. The electrodynamics of substances with simultaneously negative values of μ and "[J]. Sov Phys Usp, 1968, 10(4): 509-514. doi:  10.1070/PU1968v010n04ABEH003699
    [3]
    BERMAN P R. Goos-Hächen shift in negatively refractive media [J]. Phys Rev E, 2002, 66(6): 067603 doi:  10.1103/PhysRevE.66.067603
    [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 http://www.researchgate.net/profile/Alexander_Zharov/publication/10624297_Nonlinear_properties_of_left-handed_metamaterials/links/00463517a2455a3d14000000.pdf
    [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. doi:  10.1103/PhysRevE.71.036614
    [6]
    ZIOLKOWSKI R W. Superluminal transmission of information through an electromagnetic metamaterial [J]. Phys Rev E, 2001, 63: 046604. doi:  10.1103/PhysRevE.63.046604
    [7]
    ZIOLKOWSKI R W. Pulsed and CW Gaussian beam interactions with double negative metamaterial slabs [J]. Opt Exp, 2003, 11: 662-681. doi:  10.1364/OE.11.000662
    [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. doi:  10.1103/PhysRevA.75.033815
    [9]
    JOSEPH A, PORSEZIAN K. Stability criterion for Gaussian pulse propagation through negative index materials[J]. Phys Rev A, 2010, 81: 023805. doi:  10.1103/PhysRevA.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. doi:  10.1140/epjd/e2011-10288-0
    [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. doi:  10.1364/JOSAB.28.000944
    [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. doi:  10.1103/PhysRevLett.95.013902
    [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. doi:  10.1364/JOSAB.28.000123
    [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/AFSprismsTODG2-800.gif.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(8)  / Tables(4)

    Article views (268) PDF downloads(405) Cited by()
    Proportional views

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return