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The expressions of average refractive index in a helix pitch of ferroelectric liquid crystal（FLC） were derived by theoretical approximation computation of the helix structure at chiral smectic C phase of FLC. A conclusion that FLC molecules in a helix pitch as a whole can be considered as a model of nematic liquid crystal in terms of the expressions of average refractive index was obtained. When the thickness of FLC with a vertical alignment along the helical axis is integer times long as the helix pitch, FLC molecules can be considered as a group composed of nematic liquid crystal models. The comparisons of experiment results of ZLI-3654 FLC with 5CB nematic liquid crystal confirmed the above conclusion. The theory and experiment are in good agreement. Theoretical guidance and a deeper understanding can be provided by this theory for preparation of deformed helix FLC and vertical alignment deformed helix FLC devices, as well as application of ferroelectric liquid crystal.
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Keywords:
- ferroelectric liquid crystal /
- helix pitch /
- average refractive index /
- nematic liquid crystal
[1] ［1］Zheng Z G, Ma J, Song J, Liu Y G, Hu L F, Xuan L 2007 Acta Phys. Sin. 56 15 (in Chinese） ［郑致刚、马骥、宋静、刘永刚、胡立发、宣丽 2007 56 15］
[2] ［2］Yang P B， Cao L G， Hu W， Zhu Y Q, Guo Q, Yang X B 2008 Acta Phys. Sin. 57 285（in Chinese） ［杨平保、曹龙贵、胡巍、朱叶青、郭旗、杨湘波 2008 57 285］
[3] ［3］Zheng Z G, Li W C, Liu Y G, Xuan L 2008 Acta Phys. Sin. 57 7344 （in Chinese） ［郑致刚、李文萃、刘永刚、宣丽 2008 57 7344］
[4] ［4］Yin J L, Huang X G, Liu S H, Hu S J 2006 Acta Phys. Sin. 55 5268 （in Chinese） ［殷建玲、黄旭光、刘颂豪、胡社军 2006 55 5268］
[5] ［5］Ding H B, Pang W N, Liu Y B, Shang R C 2005 Acta Phys. Sin. 54 4097 （in Chinese） ［丁海兵、庞文宁、刘义保、尚仁成 2005 54 4097］
[6] ［6］Wang Q H, Cheng J B 2005 Acta Photon. Sin. 34 357 （in Chinese）［王琼华、成建波 2005 光子学报 34 357］
[7] ［7］Wu P C, Wu J W 2007 J. Appl. Phys. 101 104513
[8] ［8］Clark N A , Lagerwall S T 1980 Appl. Phys. Lett. 36 899
[9] ［9］Zhu S Q, Pan W, Wang M Y 2005 Acta Photon. Sin. 34 218 （in Chinese）［朱思奇、潘炜、王梦遥 2005 光子学报 34 218］
[10] ］Kim Y J, Kim K S, Kim Y B 2002 Ferroelectrics 278 191
[11] ］Rieker T P, Clark N A, Smith G S, Parmar D S, Sirota E B, Safinya C R 1987 Phys. Rev. Lett. 59 2658
[12] ］Wang J M, Kim Y J, Chang J K , Kim K S 2002 Ferroelectrics 277 185
[13] ］Sawatari N, Okabe M, Ishikawa M, Harada R, Egashira N 2007 SID Digest. 1397
[14] ］Haase W， Podgornov F， Pozhidaev E 2002 Proc. SPIE 4481 17
[15] ］Michael D W, Rohini T V, Michael J O, Beth R, Claus E 1992 Proc. SPIE 1665 176
[16] ］Pozhidaev E P 2001 Proc. SPIE 4511 92
[17] ］Kim D W, Yu C J, Lim Y W, Na J H, Lee S D 2005 Appl. Phys. Lett. 87 051917
[18] ］You D H, Yu C J, Lee S D 2002 Ferroelectrics 278 233
[19] ］McMurdy J W, Crawford G P 2006 Appl. Phys. Lett. 89 081105
[20] ］Miyagi J N1991 U.S. Patent 5046830
[21] ］Fei C H, Peng Z H, Lü F Z, Zhang L L, Yao L S, Xuan L 2006 Chin. Phys. Lett. 23 3029
[22] ］MacGregor A R 1989 J. Opt. Soc. Am. A 6 1493
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[1] ［1］Zheng Z G, Ma J, Song J, Liu Y G, Hu L F, Xuan L 2007 Acta Phys. Sin. 56 15 (in Chinese） ［郑致刚、马骥、宋静、刘永刚、胡立发、宣丽 2007 56 15］
[2] ［2］Yang P B， Cao L G， Hu W， Zhu Y Q, Guo Q, Yang X B 2008 Acta Phys. Sin. 57 285（in Chinese） ［杨平保、曹龙贵、胡巍、朱叶青、郭旗、杨湘波 2008 57 285］
[3] ［3］Zheng Z G, Li W C, Liu Y G, Xuan L 2008 Acta Phys. Sin. 57 7344 （in Chinese） ［郑致刚、李文萃、刘永刚、宣丽 2008 57 7344］
[4] ［4］Yin J L, Huang X G, Liu S H, Hu S J 2006 Acta Phys. Sin. 55 5268 （in Chinese） ［殷建玲、黄旭光、刘颂豪、胡社军 2006 55 5268］
[5] ［5］Ding H B, Pang W N, Liu Y B, Shang R C 2005 Acta Phys. Sin. 54 4097 （in Chinese） ［丁海兵、庞文宁、刘义保、尚仁成 2005 54 4097］
[6] ［6］Wang Q H, Cheng J B 2005 Acta Photon. Sin. 34 357 （in Chinese）［王琼华、成建波 2005 光子学报 34 357］
[7] ［7］Wu P C, Wu J W 2007 J. Appl. Phys. 101 104513
[8] ［8］Clark N A , Lagerwall S T 1980 Appl. Phys. Lett. 36 899
[9] ［9］Zhu S Q, Pan W, Wang M Y 2005 Acta Photon. Sin. 34 218 （in Chinese）［朱思奇、潘炜、王梦遥 2005 光子学报 34 218］
[10] ］Kim Y J, Kim K S, Kim Y B 2002 Ferroelectrics 278 191
[11] ］Rieker T P, Clark N A, Smith G S, Parmar D S, Sirota E B, Safinya C R 1987 Phys. Rev. Lett. 59 2658
[12] ］Wang J M, Kim Y J, Chang J K , Kim K S 2002 Ferroelectrics 277 185
[13] ］Sawatari N, Okabe M, Ishikawa M, Harada R, Egashira N 2007 SID Digest. 1397
[14] ］Haase W， Podgornov F， Pozhidaev E 2002 Proc. SPIE 4481 17
[15] ］Michael D W, Rohini T V, Michael J O, Beth R, Claus E 1992 Proc. SPIE 1665 176
[16] ］Pozhidaev E P 2001 Proc. SPIE 4511 92
[17] ］Kim D W, Yu C J, Lim Y W, Na J H, Lee S D 2005 Appl. Phys. Lett. 87 051917
[18] ］You D H, Yu C J, Lee S D 2002 Ferroelectrics 278 233
[19] ］McMurdy J W, Crawford G P 2006 Appl. Phys. Lett. 89 081105
[20] ］Miyagi J N1991 U.S. Patent 5046830
[21] ］Fei C H, Peng Z H, Lü F Z, Zhang L L, Yao L S, Xuan L 2006 Chin. Phys. Lett. 23 3029
[22] ］MacGregor A R 1989 J. Opt. Soc. Am. A 6 1493
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