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Photonic crystal not only can be used to inhibit the spontaneous emission and redistribute the energy into useful forms, but also can be designed to control and confine photons. Since the concept was introduced by John and Yablonovitch in 1987, there have been discussed the machinery of broadening the band bap and a quest for the optimal structure. Band structures of two-dimensional photonic crystals with different lattices and scatters of air hole of various shapes, orientations and sizes are investigated by the plane wave expansion method. The calculation results suggest that the variation of the photonic crystal band bap is attributed to the competition between symmetry and quantum confinement effects.
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Keywords:
- photonic band gap /
- silicon /
- quantum confinement effect /
- symmetry
[1] John S 1987 Phys. Rev. Lett. 58 2486
[2] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[3] John S 1991 Phys. Today 44 32
[4] Yablonovitch E, Gmitter T J, Meade R D, Rappe A M, Brommer K D, J Joannopoulos J D 1991 Phys. Rev. Lett. 67 3380
[5] John S 1996 Photonic Band Gap Materials (Dortrecht: Kluwer Dortrecht Publishers) p563
[6] Proot J P, Delerue C, Allan G 1992 Appl. Phys. Lett. 61 1948
[7] 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
[8] Huang W Q, Miao X J, Huang Z M, Liu S R, Qin C J 2012 Chin. Phys. B 21 094207
[9] Huang W Q, Jin F, Wang H X, Xu L, Wu K Y, Liu S R, Qin C J 2008 Appl. Phys. Lett. 92 221910
[10] Anderson C M, Giapis K P 1996 Phys. Rev. Lett. 77 2949
[11] Wang X H, Gu B Y, Li Z Y, Yang G Z 1999 Phys. Rev. B 60 11417
[12] Liu H, Liu D, Zhao H, Gao Y H 2014 Acta Phys. Sin. 63 194208 (in Chinese) [刘会, 刘丹, 赵恒, 高义华 2014 物理学报 63 194208]
[13] Chong Y D, Wen X G, Marin S 2008 Phys. Rev. B 77 235125
[14] Ruij W, Wu B, Zhao H Y, Li J B, He C F 2010 Solid State Commun. 150 1463
[15] He X D, Shen J J, Liu B, Li S J 2013 Opt. Commun. 303 8
[16] Sheng J J, He X D, Liu B, Li S J 2013 Acta Phys. Sin. 62 084213 (in Chinese) [沈娟娟, 何兴道, 刘彬, 李淑静 2013 物理学报 62 084213]
[17] Plihal M, Maradudin A A 1991 Phys. Rev. B 44 8565
[18] Joannopoulos J D, Johnson S G, Winn J N, Meade R D 2008 Photonic Crystals (Princeton: Princeton University Press) p243
[19] Miao X J, Huang W Q, Huang Z M, Zhou N J, Yin J 2014 Acta Phys. Sin. 63 030203 (in Chinese) [苗信建, 黄伟其, 黄忠梅, 周年杰, 尹军 2014 物理学报 63 030203]
[20] Florescu M, Torquato S, Steinhardt P J 2009 PNAS 106 20658
[21] Sigmund O, Hougaard K 2008 Phys. Rev. Lett. 100 153904
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[1] John S 1987 Phys. Rev. Lett. 58 2486
[2] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[3] John S 1991 Phys. Today 44 32
[4] Yablonovitch E, Gmitter T J, Meade R D, Rappe A M, Brommer K D, J Joannopoulos J D 1991 Phys. Rev. Lett. 67 3380
[5] John S 1996 Photonic Band Gap Materials (Dortrecht: Kluwer Dortrecht Publishers) p563
[6] Proot J P, Delerue C, Allan G 1992 Appl. Phys. Lett. 61 1948
[7] 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
[8] Huang W Q, Miao X J, Huang Z M, Liu S R, Qin C J 2012 Chin. Phys. B 21 094207
[9] Huang W Q, Jin F, Wang H X, Xu L, Wu K Y, Liu S R, Qin C J 2008 Appl. Phys. Lett. 92 221910
[10] Anderson C M, Giapis K P 1996 Phys. Rev. Lett. 77 2949
[11] Wang X H, Gu B Y, Li Z Y, Yang G Z 1999 Phys. Rev. B 60 11417
[12] Liu H, Liu D, Zhao H, Gao Y H 2014 Acta Phys. Sin. 63 194208 (in Chinese) [刘会, 刘丹, 赵恒, 高义华 2014 物理学报 63 194208]
[13] Chong Y D, Wen X G, Marin S 2008 Phys. Rev. B 77 235125
[14] Ruij W, Wu B, Zhao H Y, Li J B, He C F 2010 Solid State Commun. 150 1463
[15] He X D, Shen J J, Liu B, Li S J 2013 Opt. Commun. 303 8
[16] Sheng J J, He X D, Liu B, Li S J 2013 Acta Phys. Sin. 62 084213 (in Chinese) [沈娟娟, 何兴道, 刘彬, 李淑静 2013 物理学报 62 084213]
[17] Plihal M, Maradudin A A 1991 Phys. Rev. B 44 8565
[18] Joannopoulos J D, Johnson S G, Winn J N, Meade R D 2008 Photonic Crystals (Princeton: Princeton University Press) p243
[19] Miao X J, Huang W Q, Huang Z M, Zhou N J, Yin J 2014 Acta Phys. Sin. 63 030203 (in Chinese) [苗信建, 黄伟其, 黄忠梅, 周年杰, 尹军 2014 物理学报 63 030203]
[20] Florescu M, Torquato S, Steinhardt P J 2009 PNAS 106 20658
[21] Sigmund O, Hougaard K 2008 Phys. Rev. Lett. 100 153904
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