Abstract

A new light-scattering phenomenon from a planar aligned nematic liquid-crystal film is observed and studied. This new phenomenon exhibits ring patterns in the orthogonal polarization. A simple model based on optical interference has been developed, and its predictions agree well with experimental observation.

© 1998 Optical Society of America

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References

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  1. I. V. Gusev, B. Ya. Zel’dovich, V. A. Krivoshchekov, and V. N. Sadovskii, JEPT Lett. 55, 178 (1992).
  2. S. Stallinga, M. M. Wittebrood, D. H. Luijendijk, and T. Rasing, Phys. Rev. E 53, 6085 (1996).
    [CrossRef]
  3. H. Stark and T. C. Lubensky, Phys. Rev. Lett. 77, 2229 (1996).
    [CrossRef] [PubMed]
  4. P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993), pp. 139–150, 227–230, 98–108.
  5. I. C. Khoo, Liquid Crystals (Wiley, New York, 1995), Chap. 5.
  6. H. Ono and N. Kawatsuki, Opt. Commun. 139, 60 (1997).
    [CrossRef]
  7. I. C. Khoo, R. R. Michael, and G. M. Finn, Appl. Phys. Lett. 52, 2108 (1988).
    [CrossRef]
  8. S.-H. Chen and J. J. Wu, Appl. Phys. Lett. 52, 1998 (1988).
    [CrossRef]
  9. I. C. Khoo, S. L. Zhuang, and S. Shepard, Appl. Phys. Lett. 39, 937 (1981).
    [CrossRef]
  10. S. D. Durbin, S. M. Arakelian, and Y. R. Shen, Opt. Lett. 6, 411 (1981).
    [PubMed]
  11. S.-H. Chen and Y. Shen, J. Opt. Soc. Am. B 14, 1750 (1997).
    [CrossRef]
  12. S.-H. Chen, T.-J. Chen, Y. Shen, and C.-L. Kuo, Liq. Cryst. 14, 185 (1993).
    [CrossRef]
  13. H. Hakemi, E. F. Jagodzinski, and D. B. DuPre, Mol. Cryst. Liq. Cryst. 91, 129 (1983).
    [CrossRef]

1997

H. Ono and N. Kawatsuki, Opt. Commun. 139, 60 (1997).
[CrossRef]

S.-H. Chen and Y. Shen, J. Opt. Soc. Am. B 14, 1750 (1997).
[CrossRef]

1996

S. Stallinga, M. M. Wittebrood, D. H. Luijendijk, and T. Rasing, Phys. Rev. E 53, 6085 (1996).
[CrossRef]

H. Stark and T. C. Lubensky, Phys. Rev. Lett. 77, 2229 (1996).
[CrossRef] [PubMed]

1993

S.-H. Chen, T.-J. Chen, Y. Shen, and C.-L. Kuo, Liq. Cryst. 14, 185 (1993).
[CrossRef]

1992

I. V. Gusev, B. Ya. Zel’dovich, V. A. Krivoshchekov, and V. N. Sadovskii, JEPT Lett. 55, 178 (1992).

1988

I. C. Khoo, R. R. Michael, and G. M. Finn, Appl. Phys. Lett. 52, 2108 (1988).
[CrossRef]

S.-H. Chen and J. J. Wu, Appl. Phys. Lett. 52, 1998 (1988).
[CrossRef]

1983

H. Hakemi, E. F. Jagodzinski, and D. B. DuPre, Mol. Cryst. Liq. Cryst. 91, 129 (1983).
[CrossRef]

1981

I. C. Khoo, S. L. Zhuang, and S. Shepard, Appl. Phys. Lett. 39, 937 (1981).
[CrossRef]

S. D. Durbin, S. M. Arakelian, and Y. R. Shen, Opt. Lett. 6, 411 (1981).
[PubMed]

Arakelian, S. M.

Chen, S.-H.

S.-H. Chen and Y. Shen, J. Opt. Soc. Am. B 14, 1750 (1997).
[CrossRef]

S.-H. Chen, T.-J. Chen, Y. Shen, and C.-L. Kuo, Liq. Cryst. 14, 185 (1993).
[CrossRef]

S.-H. Chen and J. J. Wu, Appl. Phys. Lett. 52, 1998 (1988).
[CrossRef]

Chen, T.-J.

S.-H. Chen, T.-J. Chen, Y. Shen, and C.-L. Kuo, Liq. Cryst. 14, 185 (1993).
[CrossRef]

De Gennes, P. G.

P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993), pp. 139–150, 227–230, 98–108.

DuPre, D. B.

H. Hakemi, E. F. Jagodzinski, and D. B. DuPre, Mol. Cryst. Liq. Cryst. 91, 129 (1983).
[CrossRef]

Durbin, S. D.

Finn, G. M.

I. C. Khoo, R. R. Michael, and G. M. Finn, Appl. Phys. Lett. 52, 2108 (1988).
[CrossRef]

Gusev, I. V.

I. V. Gusev, B. Ya. Zel’dovich, V. A. Krivoshchekov, and V. N. Sadovskii, JEPT Lett. 55, 178 (1992).

Hakemi, H.

H. Hakemi, E. F. Jagodzinski, and D. B. DuPre, Mol. Cryst. Liq. Cryst. 91, 129 (1983).
[CrossRef]

Jagodzinski, E. F.

H. Hakemi, E. F. Jagodzinski, and D. B. DuPre, Mol. Cryst. Liq. Cryst. 91, 129 (1983).
[CrossRef]

Kawatsuki, N.

H. Ono and N. Kawatsuki, Opt. Commun. 139, 60 (1997).
[CrossRef]

Khoo, I. C.

I. C. Khoo, R. R. Michael, and G. M. Finn, Appl. Phys. Lett. 52, 2108 (1988).
[CrossRef]

I. C. Khoo, S. L. Zhuang, and S. Shepard, Appl. Phys. Lett. 39, 937 (1981).
[CrossRef]

I. C. Khoo, Liquid Crystals (Wiley, New York, 1995), Chap. 5.

Krivoshchekov, V. A.

I. V. Gusev, B. Ya. Zel’dovich, V. A. Krivoshchekov, and V. N. Sadovskii, JEPT Lett. 55, 178 (1992).

Kuo, C.-L.

S.-H. Chen, T.-J. Chen, Y. Shen, and C.-L. Kuo, Liq. Cryst. 14, 185 (1993).
[CrossRef]

Lubensky, T. C.

H. Stark and T. C. Lubensky, Phys. Rev. Lett. 77, 2229 (1996).
[CrossRef] [PubMed]

Luijendijk, D. H.

S. Stallinga, M. M. Wittebrood, D. H. Luijendijk, and T. Rasing, Phys. Rev. E 53, 6085 (1996).
[CrossRef]

Michael, R. R.

I. C. Khoo, R. R. Michael, and G. M. Finn, Appl. Phys. Lett. 52, 2108 (1988).
[CrossRef]

Ono, H.

H. Ono and N. Kawatsuki, Opt. Commun. 139, 60 (1997).
[CrossRef]

Prost, J.

P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993), pp. 139–150, 227–230, 98–108.

Rasing, T.

S. Stallinga, M. M. Wittebrood, D. H. Luijendijk, and T. Rasing, Phys. Rev. E 53, 6085 (1996).
[CrossRef]

Sadovskii, V. N.

I. V. Gusev, B. Ya. Zel’dovich, V. A. Krivoshchekov, and V. N. Sadovskii, JEPT Lett. 55, 178 (1992).

Shen, Y.

S.-H. Chen and Y. Shen, J. Opt. Soc. Am. B 14, 1750 (1997).
[CrossRef]

S.-H. Chen, T.-J. Chen, Y. Shen, and C.-L. Kuo, Liq. Cryst. 14, 185 (1993).
[CrossRef]

Shen, Y. R.

Shepard, S.

I. C. Khoo, S. L. Zhuang, and S. Shepard, Appl. Phys. Lett. 39, 937 (1981).
[CrossRef]

Stallinga, S.

S. Stallinga, M. M. Wittebrood, D. H. Luijendijk, and T. Rasing, Phys. Rev. E 53, 6085 (1996).
[CrossRef]

Stark, H.

H. Stark and T. C. Lubensky, Phys. Rev. Lett. 77, 2229 (1996).
[CrossRef] [PubMed]

Wittebrood, M. M.

S. Stallinga, M. M. Wittebrood, D. H. Luijendijk, and T. Rasing, Phys. Rev. E 53, 6085 (1996).
[CrossRef]

Wu, J. J.

S.-H. Chen and J. J. Wu, Appl. Phys. Lett. 52, 1998 (1988).
[CrossRef]

Zel’dovich, B. Ya.

I. V. Gusev, B. Ya. Zel’dovich, V. A. Krivoshchekov, and V. N. Sadovskii, JEPT Lett. 55, 178 (1992).

Zhuang, S. L.

I. C. Khoo, S. L. Zhuang, and S. Shepard, Appl. Phys. Lett. 39, 937 (1981).
[CrossRef]

Appl. Phys. Lett.

I. C. Khoo, R. R. Michael, and G. M. Finn, Appl. Phys. Lett. 52, 2108 (1988).
[CrossRef]

S.-H. Chen and J. J. Wu, Appl. Phys. Lett. 52, 1998 (1988).
[CrossRef]

I. C. Khoo, S. L. Zhuang, and S. Shepard, Appl. Phys. Lett. 39, 937 (1981).
[CrossRef]

J. Opt. Soc. Am. B

JEPT Lett.

I. V. Gusev, B. Ya. Zel’dovich, V. A. Krivoshchekov, and V. N. Sadovskii, JEPT Lett. 55, 178 (1992).

Liq. Cryst.

S.-H. Chen, T.-J. Chen, Y. Shen, and C.-L. Kuo, Liq. Cryst. 14, 185 (1993).
[CrossRef]

Mol. Cryst. Liq. Cryst.

H. Hakemi, E. F. Jagodzinski, and D. B. DuPre, Mol. Cryst. Liq. Cryst. 91, 129 (1983).
[CrossRef]

Opt. Commun.

H. Ono and N. Kawatsuki, Opt. Commun. 139, 60 (1997).
[CrossRef]

Opt. Lett.

Phys. Rev. E

S. Stallinga, M. M. Wittebrood, D. H. Luijendijk, and T. Rasing, Phys. Rev. E 53, 6085 (1996).
[CrossRef]

Phys. Rev. Lett.

H. Stark and T. C. Lubensky, Phys. Rev. Lett. 77, 2229 (1996).
[CrossRef] [PubMed]

Other

P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993), pp. 139–150, 227–230, 98–108.

I. C. Khoo, Liquid Crystals (Wiley, New York, 1995), Chap. 5.

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Figures (3)

Fig. 1
Fig. 1

(a) Experimental setup: PBS, polarizing beam splitter; LC, liquid crystal; d, sample thickness; o-wave, ordinary wave; e-wave, extraordinary wave. (b) Photographs of o-wave scattering light under different bias voltages. From (b-1) to (b-5) the bias voltage is increasing monotonically.

Fig. 2
Fig. 2

Schematic diagram of the incident and scattered light in a planar aligned nematic liquid-crystal film: ki, kf, wave vectors of the incident and the scattered light, respectively; ϕ, scattering angle; nˆ, molecular director; θ, molecular orientation angle.

Fig. 3
Fig. 3

(a) Numerical results of angle ϕN versus bias voltage. (b) Resized version of (a). Points, operating points corresponding to Figs.  1(b-1)1(b-5). ϕM is the maximum observable scattering angle and is 0.134°.

Tables (1)

Tables Icon

Table 1 Comparison of Circular Ring Fringe Patterns from Different Physical Mechanisms

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

F=1/2K111-K sin2 θθ/z2-Dz28π1-W sin2 θ-Inec1-μ sin2 θ1/2,
θz=θm sinπz/d.
2θm-Kθm-θmJ02θm-VVth2-IIth2J12θm=0.
θm2bb+1-K1/2,
neffθne-ne-μbb+1-K sin2πz/d.
Δδmax=2πλ0dneffθdz-nod cos ϕ,
Δδmax2πdλne-ne-μb2b+1-K-no cos ϕ.

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