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A physical model for band gap of silicon-based photonic crystal of air hole at telecom wavelengths

Miao Xin-Jian Huang Wei-Qi Huang Zhong-Mei Zhou Nian-Jie Yin Jun

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A physical model for band gap of silicon-based photonic crystal of air hole at telecom wavelengths

Miao Xin-Jian, Huang Wei-Qi, Huang Zhong-Mei, Zhou Nian-Jie, Yin Jun
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  • Band structures of silicon photonic crystal (PC) with different lattices and shapes of air holes at telecom wavelengths were investigated by plane-wave expansion method, and the related physical models were proposed. Calculated results demonstrate that photonic band gap (PBG) can be effectively manipulated by photon confinement effect and lattice symmetry effect. With the increase of filling fraction, the ability with which photons are confined by PC is enhanced, PBG is opened and the central frequency undergoes a blue-shift. PBG is enlarged as the lattice symmetry increases. Shape and rotation of lattice element are also studied. Band gap with the rotation angle which follows periodicity and symmetry indicates its anisotropy. The optimal cavity structures for different lattices are also found.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11264007).
    [1]

    Ruan J, Fauchet P M, Negro L D, Cazzanelli M, Pavesi L 2003 Appl. Phys. Lett. 83 5479

    [2]

    Yablonovitch E 1987 Phys. Rev. Lett. 58 2059

    [3]

    John S 1987 Phys. Rev. Lett. 58 2486

    [4]

    Wang X G, Zhang D Z, Li Z Y 2008 Chin. Phys. B 17 1101

    [5]

    Galli M, Politi A, Belotti M, Gerace D, Liscidini M 2006 Appl. Phys. Lett. 88 251114

    [6]

    Huang W Q, Miao X J, Huang Z M, Liu S R, Qin C J 2012 Chin. Phys. B 21 094207

    [7]

    Huang W Q, Huang Z M, Miao X J, Liu X R, Qin C J 2012 Acta Phys. Sin. 61 214205 (in Chinese) [黄伟其, 黄忠梅, 苗信建, 刘世荣, 秦朝建 2012 物理学报 61 214205]

    [8]

    Weng B B, Ma J G, Wei L, Li L, Qiu J J, Xu J, Shi Z S 2011 Appl. Phys. Lett. 99 221110

    [9]

    Joannopoulos J D, Johnson S G, Winn J N, Meade R D 2008 Photonic crystals (Princeton: Princeton University Press) p243

    [10]

    Anderson C M, Giapis K P 1996 Phys. Rev. Lett. 77 2949

    [11]

    Li Z Y, Gu B Y, Yang G Z 1998 Phys. Rev. Lett. 81 2574

    [12]

    Plihal M, Maradudin A A 1991 Phys. Rev. B 44 8565

    [13]

    Proot J P, Delerue C, Allan G 1992 Appl. Phys. Lett. 61 1948

    [14]

    Huang W Q, Huang Z M, Cheng H Q, Miao X J, Shu Q, Liu S R, Qin C J 2012 Appl. Phys. Lett. 101 171601

    [15]

    Villeneuve P R, Piche M 1992 Phys. Rev. B 46 4969

  • [1]

    Ruan J, Fauchet P M, Negro L D, Cazzanelli M, Pavesi L 2003 Appl. Phys. Lett. 83 5479

    [2]

    Yablonovitch E 1987 Phys. Rev. Lett. 58 2059

    [3]

    John S 1987 Phys. Rev. Lett. 58 2486

    [4]

    Wang X G, Zhang D Z, Li Z Y 2008 Chin. Phys. B 17 1101

    [5]

    Galli M, Politi A, Belotti M, Gerace D, Liscidini M 2006 Appl. Phys. Lett. 88 251114

    [6]

    Huang W Q, Miao X J, Huang Z M, Liu S R, Qin C J 2012 Chin. Phys. B 21 094207

    [7]

    Huang W Q, Huang Z M, Miao X J, Liu X R, Qin C J 2012 Acta Phys. Sin. 61 214205 (in Chinese) [黄伟其, 黄忠梅, 苗信建, 刘世荣, 秦朝建 2012 物理学报 61 214205]

    [8]

    Weng B B, Ma J G, Wei L, Li L, Qiu J J, Xu J, Shi Z S 2011 Appl. Phys. Lett. 99 221110

    [9]

    Joannopoulos J D, Johnson S G, Winn J N, Meade R D 2008 Photonic crystals (Princeton: Princeton University Press) p243

    [10]

    Anderson C M, Giapis K P 1996 Phys. Rev. Lett. 77 2949

    [11]

    Li Z Y, Gu B Y, Yang G Z 1998 Phys. Rev. Lett. 81 2574

    [12]

    Plihal M, Maradudin A A 1991 Phys. Rev. B 44 8565

    [13]

    Proot J P, Delerue C, Allan G 1992 Appl. Phys. Lett. 61 1948

    [14]

    Huang W Q, Huang Z M, Cheng H Q, Miao X J, Shu Q, Liu S R, Qin C J 2012 Appl. Phys. Lett. 101 171601

    [15]

    Villeneuve P R, Piche M 1992 Phys. Rev. B 46 4969

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Publishing process
  • Received Date:  23 September 2013
  • Accepted Date:  03 November 2013
  • Published Online:  05 February 2014

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