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新型Fibonacci准周期结构一维等离子体光子晶体的全方位带隙特性研究

张娟

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新型Fibonacci准周期结构一维等离子体光子晶体的全方位带隙特性研究

张娟

Omnidirectional photonic bandgap of the one-dimensional plasma photonic crystal based on a novel Fibonacci quasiperiodic structure

Zhang Juan
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  • 以二元Fibonacci准周期结构的一维等离子体光子晶体为对象,在系统研究不同初始序列及周期数的该结构光子晶体带隙特性的基础上,给出了一种新颖的一维等离子体光子晶体结构,用于扩大全方位光子带隙.相比文献中的结构,该结构更简单(层数大大减少,且属于二元结构),全方位光子带隙宽度也更宽.此外,讨论了等离子体材料参数,如等离子厚度、等离子体频率、碰撞频率对该结构全方位带隙的影响,并与文献结构情况进行了对比.研究结果可为新型全方位反射器的设计提供重要的理论指导.
    The binary one-dimensional plasma photonic crystal (1DPPC) based on Fibonacci quasiperiodic structure is studied systematically in this paper. We consider the two simplest cases. In one case, the initial sequences F0 and F1 are both of single layer structure. In another case, one initial sequence (F0 or F1) is of a single layer structure, while the other one (F1 or F0) is of a double layer structure. Thus there are ten different kinds of initial sequences in total. The photonic bandgap characteristics of the 1DPPC with these different initial sequences and numbers of period are analyzed. On these bases, a novel structure of one-dimensional plasma photonic crystal (F3)3 with initial sequence of F0=AP, F1=P and F0=PA, F1=P is proposed in this paper to enlarge the omnidirectional photonic bandgap (OPBG). Compared with previously reported structures in the literature, this structure is simple in configuration with fewer layers and materials, and its OPBG width is wide. The influences of the parameters of the plasma material, such as the thickness, plasma frequency and collision frequency, on the OPBG characteristics of this structure are also discussed. The OPBG width increases with the increase of the thickness and plasma frequency of the plasma layer. Compared with the structures in the literature, the change of OPBG width is the fastest for the proposed structure when the parameters are relatively small. And with the same parameters, the OPBG width for the proposed structure is the widest when the parameters are greater than a certain value. The plasma collision frequency has no effect on the OPBG width for all the structures. But the OPBG width for the proposed structure is the widest when this parameter has the same value. The reason why the proposed structure has an optimal OPBG width is explained by analyzing the dispersion properties of the plasma. The real and imaginary part of the dielectric constant of plasma change with frequency significantly only in the low frequency region. Since the imaginary part of dielectric constant is nearly zero when the frequency is larger than 2 GHz, only the dispersion effect of the real part of dielectric constant needs to be considered in the frequency range we investigate. And its value is much greater than that of conventional medium in the same frequency range. This makes the high-reflectance bands of the 1DPPC broader than those in the case of pure photonic interference phenomena with conventional medium. On the other hand, the corresponding highest proportion of plasma layers in the whole quasiperiodic structure can also be used to explain the broadest band gap of (F3)3. These results can provide important theoretical guidance for designing the novel omnidirectional reflectors.
      通信作者: 张娟, juanzhang@staff.shu.edu.cn
    • 基金项目: 上海市教委科研创新项目(批准号:15ZZ045)和上海市特种光纤与光接入网重点实验室开放课题(批准号:SKLSFO2014-04)资助的课题.
      Corresponding author: Zhang Juan, juanzhang@staff.shu.edu.cn
    • Funds: Project supported by the Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 15ZZ045) and the Open Foundation of Key Laboratory of Specialty Fiber Optics and Optical Access Networks, Shanghai University (Grant No. SKLSFO2014-04).
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    Zhang J, Zhang R J, Wang Y 2014 J. Appl. Phys. 116 183104

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    Zhang J, Zhang R J, Wang Y 2015 J. Appl. Phys. 117 213101

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    Deopura M, Ullal C K, Temelkuran B, Fink Y 2001 Opt. Lett. 26 1197

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    Ibanescu M, Fink Y, Fan S, Thomas E L, Joannopoulos J D 2000 Science 289 415

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    Hart S D, Maskaly G R, Temelkuran B, Prideaux P H, Joannopoulos J D, Fink Y 2002 Science 296 510

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    Fang Y T, Ni Y X, He H Q, Hu J X 2014 Opt. Commun. 320 99

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    Zhang J, Fu W P, Zhang R J, Wang Y 2014 Chin. Phys. B 23 104215

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    Liu J T, Liu N H, Li J, Li X J, Huang J H 2012 Appl. Phys. Lett. 101 052104

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    Chigrin D N, Lavrinenko A V, Yarotsky D A, Gaponenko S V 1999 Appl. Phys. A:Mater. Sci. Process. 68 25

    [13]

    Dai X Y, Xiang Y J, Wen S C, He H Y 2011 J. Appl. Phys. 109 053104

    [14]

    Zhang J, Benson T M 2013 J. Mod. Opt. 60 1804

    [15]

    Zhang H F, Liu S B, Kong X K, Bian B R, Zhao H C 2012 Opt. Commun. 285 5235

    [16]

    Wu C J, Rao Y N, Han W H 2010 Prog. Electromagn. Res. 100 27

    [17]

    Wang S Q, Yang X B, Liu C Y T 2014 Phys. Lett. A 378 1326

    [18]

    Vardeny Z V, Nahata A, Agrawal A 2013 Nat. Photon. 7 177

    [19]

    Poddubny A N, Ivchenko E L 2010 Physica E 42 1871

    [20]

    Zou J H, Zhang J 2016 Acta Phys. Sin. 65 014214 (in Chinese)[邹俊辉, 张娟2016物理学报 65 014214]

    [21]

    Lusk D, Abdulhalim I, Placido F 2001 Opt. Commun. 198 273

    [22]

    Gharaati A, Zare Z 2011 Prog. Electromagn. Res. M 20 81

    [23]

    Zhang H F, Liu S B 2013 Opt. Quant. Electron. 45 925

    [24]

    Zhang H F, Liu S B, Kong X K 2013 Solid State Commun. 174 19

    [25]

    Zhang H F, Zhen J P, He W P 2013 Optik 124 4182

    [26]

    Zhang H F, Liu S B, Kong X K, Bian B R, Dai Y 2012 Phys. Plasmas 19 112102

    [27]

    Born M, Wolf E 1999 Principles of Optics:Electromagnetic Theory of Propagation, Interference and Diffraction of Light (7th Ed.) (Cambridge:Cambridge University Press) pp54-74

    [28]

    Fink Y, Winn J N, Fan S H, Chen C P, Michel J, Joannopoulos J D, Thomas E L 1998 Science 282 1679

    [29]

    Lee H Y, Yao T 2003 J. Appl. Phys. 93 819

  • [1]

    Yablonovitch E 1987 Phys. Rev. Lett. 58 2059

    [2]

    John S 1987 Phys. Rev. Lett. 58 2486

    [3]

    Zhang J, Zhang R J, Wang Y 2014 J. Appl. Phys. 116 183104

    [4]

    Zhang J, Zhang R J, Wang Y 2015 J. Appl. Phys. 117 213101

    [5]

    Fang Y T, He H Q, Hu J X 2016 IEEE J. Sel. Top. Quantum Electron. 22 293

    [6]

    Deopura M, Ullal C K, Temelkuran B, Fink Y 2001 Opt. Lett. 26 1197

    [7]

    Ibanescu M, Fink Y, Fan S, Thomas E L, Joannopoulos J D 2000 Science 289 415

    [8]

    Hart S D, Maskaly G R, Temelkuran B, Prideaux P H, Joannopoulos J D, Fink Y 2002 Science 296 510

    [9]

    Fang Y T, Ni Y X, He H Q, Hu J X 2014 Opt. Commun. 320 99

    [10]

    Zhang J, Fu W P, Zhang R J, Wang Y 2014 Chin. Phys. B 23 104215

    [11]

    Liu J T, Liu N H, Li J, Li X J, Huang J H 2012 Appl. Phys. Lett. 101 052104

    [12]

    Chigrin D N, Lavrinenko A V, Yarotsky D A, Gaponenko S V 1999 Appl. Phys. A:Mater. Sci. Process. 68 25

    [13]

    Dai X Y, Xiang Y J, Wen S C, He H Y 2011 J. Appl. Phys. 109 053104

    [14]

    Zhang J, Benson T M 2013 J. Mod. Opt. 60 1804

    [15]

    Zhang H F, Liu S B, Kong X K, Bian B R, Zhao H C 2012 Opt. Commun. 285 5235

    [16]

    Wu C J, Rao Y N, Han W H 2010 Prog. Electromagn. Res. 100 27

    [17]

    Wang S Q, Yang X B, Liu C Y T 2014 Phys. Lett. A 378 1326

    [18]

    Vardeny Z V, Nahata A, Agrawal A 2013 Nat. Photon. 7 177

    [19]

    Poddubny A N, Ivchenko E L 2010 Physica E 42 1871

    [20]

    Zou J H, Zhang J 2016 Acta Phys. Sin. 65 014214 (in Chinese)[邹俊辉, 张娟2016物理学报 65 014214]

    [21]

    Lusk D, Abdulhalim I, Placido F 2001 Opt. Commun. 198 273

    [22]

    Gharaati A, Zare Z 2011 Prog. Electromagn. Res. M 20 81

    [23]

    Zhang H F, Liu S B 2013 Opt. Quant. Electron. 45 925

    [24]

    Zhang H F, Liu S B, Kong X K 2013 Solid State Commun. 174 19

    [25]

    Zhang H F, Zhen J P, He W P 2013 Optik 124 4182

    [26]

    Zhang H F, Liu S B, Kong X K, Bian B R, Dai Y 2012 Phys. Plasmas 19 112102

    [27]

    Born M, Wolf E 1999 Principles of Optics:Electromagnetic Theory of Propagation, Interference and Diffraction of Light (7th Ed.) (Cambridge:Cambridge University Press) pp54-74

    [28]

    Fink Y, Winn J N, Fan S H, Chen C P, Michel J, Joannopoulos J D, Thomas E L 1998 Science 282 1679

    [29]

    Lee H Y, Yao T 2003 J. Appl. Phys. 93 819

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出版历程
  • 收稿日期:  2016-06-23
  • 修回日期:  2016-07-25
  • 刊出日期:  2016-12-05

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