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Forbidden gaps of one-dimensional compound photonic crystals consisting of cholesteric liquid crystals sandwiched by periodic isotropic layers are investigated. The common forbidden gaps appear for both incident left and right polarization light which is different from the cholesteric liquid crystals. The forbidden gaps for incident left polarization light will disappear and the forbidden gaps for incident right polarization light will merge and become wider with the increasing of thickness ratio of cholesteric liquid crystals to periodic isotropic layers. The effect of forbidden gaps for incident left and right polarization light becomes obvious with the increasing of refractive index of periodic isotropic layers. The corresponding forbidden gaps for two colors of red, green and blue will appear by tuning thickness ratio of cholesteric liquid crystals to periodic isotropic layers and the refractive index of periodic isotropic layers, which can be used to fabricate reflective color filters for liquid display.
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Keywords:
- cholesteric liquid crystals /
- photonic crystal /
- band gap /
- defect
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[4] Miroshnichenko A E, Brasselet E, Kivshar Y S 2008 Appl. Phys. Lett. 92 253306
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[6] Němec H, Duvillaret L, Garet F, Kuzel P, Xavier P, Richard J, Rauly D 2004 J. Appl. Phys. 96 4072
[7] Xiang Y J, Dai X Y, Wen S C, Fan D Y 2008 Opt. Lett. 33 1255
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[9] Lan S, Kanamoto K, Yang T, Nishikawa S, Sugimoto Y, Ikeda N, Nakamura H, Asakawa K, Ishikawa H 2003 Phys. Rev. B 67 115208
[10] Boudouti E H El, Hassouani Y El, Aynaou H, Djafari-Rouhani B, Akjouj A, Velasco V R 2007 J. Phys.: Condens. Matter 19 246217
[11] Yang Y C, Kee C S,Kim J E, Park H Y 1999 Phys. Rev. E 60 6852
[12] Zhang H, Zhao J L, Zhang X J 2009 Acta Phys. Sin. 58 3532(in Chinese)[张 浩、赵建林、张晓娟 2009 [13] Zheng Z G, Li W C ,Liu Y G ,Xuan L 2008 Acta Phys. Sin. 57 7344 (in Chinese)[郑志刚、李文萃、刘永刚、宣 丽 2008 57 7344]
[13] Quan X L, Yuan X B 2009 Chin. Phys. B 18 5315
[14] Zhou P, You H Y, Wang S Y, Li H Y, Yang Y M, Chen L Y 2002 Acta Phys. Sin. 51 2276(in Chinese)[周 鹏、游海洋、王松有、李合印、杨月梅、陈良尧 2002 51 2276]
[15] Feng Z F, Wang X G, Li Z Y, Zhang D Z 2008 Chin. Phys. B 17 1101
[16] Schmidtke J, StilleW, Finkelmann H 2003 Phys. Rev. Lett. 90 083902
[17] Schmidtke J, StilleW 2003 Eur. Phys. J. E 12 553
[18] Kopp V I, Genack A Z 2002 Phys. Rev. Lett. 89 033901
[19] Matsui T, OzakiM, Yoshino K 2004 Phys. Rev. E 69 061715
[20] Berreman D W 1973 J. Opt. Soc. Am. 63 1374
[21] William L. Brogan 1985 Modern Control Theory (2nd ed Prentice-Hall, Englewood Cliffs, NJ)
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[1] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2] John S 1987 Phys. Rev. Lett. 58 2486
[3] Ma G, Shen J, Zhang Z, Hua Z, Tang S H 2006 Opt. Express 14 858
[4] Miroshnichenko A E, Brasselet E, Kivshar Y S 2008 Appl. Phys. Lett. 92 253306
[5] Jim K L, Wang D Y, Leung C W, Choy C L, Chan H L W 2008 J. Appl. Phys. 103 083107
[6] Němec H, Duvillaret L, Garet F, Kuzel P, Xavier P, Richard J, Rauly D 2004 J. Appl. Phys. 96 4072
[7] Xiang Y J, Dai X Y, Wen S C, Fan D Y 2008 Opt. Lett. 33 1255
[8] Taniyama H 2002 J. Appl. Phys. 91 3511
[9] Lan S, Kanamoto K, Yang T, Nishikawa S, Sugimoto Y, Ikeda N, Nakamura H, Asakawa K, Ishikawa H 2003 Phys. Rev. B 67 115208
[10] Boudouti E H El, Hassouani Y El, Aynaou H, Djafari-Rouhani B, Akjouj A, Velasco V R 2007 J. Phys.: Condens. Matter 19 246217
[11] Yang Y C, Kee C S,Kim J E, Park H Y 1999 Phys. Rev. E 60 6852
[12] Zhang H, Zhao J L, Zhang X J 2009 Acta Phys. Sin. 58 3532(in Chinese)[张 浩、赵建林、张晓娟 2009 [13] Zheng Z G, Li W C ,Liu Y G ,Xuan L 2008 Acta Phys. Sin. 57 7344 (in Chinese)[郑志刚、李文萃、刘永刚、宣 丽 2008 57 7344]
[13] Quan X L, Yuan X B 2009 Chin. Phys. B 18 5315
[14] Zhou P, You H Y, Wang S Y, Li H Y, Yang Y M, Chen L Y 2002 Acta Phys. Sin. 51 2276(in Chinese)[周 鹏、游海洋、王松有、李合印、杨月梅、陈良尧 2002 51 2276]
[15] Feng Z F, Wang X G, Li Z Y, Zhang D Z 2008 Chin. Phys. B 17 1101
[16] Schmidtke J, StilleW, Finkelmann H 2003 Phys. Rev. Lett. 90 083902
[17] Schmidtke J, StilleW 2003 Eur. Phys. J. E 12 553
[18] Kopp V I, Genack A Z 2002 Phys. Rev. Lett. 89 033901
[19] Matsui T, OzakiM, Yoshino K 2004 Phys. Rev. E 69 061715
[20] Berreman D W 1973 J. Opt. Soc. Am. 63 1374
[21] William L. Brogan 1985 Modern Control Theory (2nd ed Prentice-Hall, Englewood Cliffs, NJ)
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