Abstract

The concept of equivalent characteristic parameters of a liquid crystal (LC) cell is introduced together with the characteristic circle and the characteristic ellipse. They are all related to the twist angle and retardation of the LC cell. Such equivalent characteristic parameters can provide a framework for analyzing LC modes, as well as providing a means to measure LC cell parameters. A new Stokes parameter method is also introduced to measure these characteristic parameters. Thus the twist angle and retardation of the LC cell can be determined accurately.

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  1. S. Huard, Polarization of Light, New York: Wiley, 1996.
  2. H. Hurwitz and R. C. Jones, "A new calculus for the treatment of optical systems-II: Proof of three general equivalent theorems", J. Opt. Soc. Amer., vol. 31, pp. 493-499, Jul. 1941.
  3. S. T. Tang and H. S. Kwok, "A new method to measure twist angle and cell gap of LC cells", in SID '98 Dig., 1998, pp. 552 -555.
  4. M. Bosma, Method of Determination of Retardation and Twist Angle of Twisted Birefringent Layers, Deventer: The Netherlands: Akzo Nobel, 1997.
  5. T. Inoue, "Method of measuring thickness of liquid crystal cells", U.S. Patent 5 239 365, Aug. 24, 1993.
  6. A. Lien and H. Takano, "Cell gap measurement of filled twisted nematic liquid crystal displays by a phase compensation method", J. Appl. Phys., vol. 69, pp. 1304-1309, 1991.
  7. A. Lien, "Simultaneous measurement of twist angle and cell gap of a twisted nematic cell by an optical method", in IDRC '91 , 1991, pp. 192-194.
  8. X. Shao, T. Yu, Z. Wang, J. Yuan, J. Guo and X. Huang, "A new method to measure thickness of twist nematic liquid crystal cells", in EuroDisplay '96, 1996, pp. 309-312.
  9. S. T. Tang and H. S. Kwok, "Reflective method of LCD measurement", in IDW '00, 2000, pp. 109-111.
  10. S. T. Tang and H. S. Kwok, "Transmissive liquid crystal cell parameters measurement by spectroscopic ellipsometry", J. Appl. Phys., vol. 89, pp. 80-85, 2001 .
  11. L. S. Srinath and A. V. S. S. S. R. Sarma, "Determination of the optically equivalent model in three-dimensional photoelasticity", Experimental Mechanics, vol. 14, pp. 118-122, 1974.
  12. L. S. Srinath, K. Ramesh and V. Ramamurti, "Determination of characteristic parameters in three-dimensional photoelasticity", Optical Engineering, vol. 27, pp. 225-230, 1988.
  13. H. Aben, Integrated Photoelasticity, New York: McGraw-Hill, 1979.
  14. H. Aben, "Characteristic directions in optics of twisted birefringence media", J. Opt. Soc. Amer. A, vol. 3, pp. 1414-142, 1986.
  15. H. Aben, "Optical phenomena in photoelastic models by the rotation of principal axes", Experimental Mechanics, vol. 6, pp. 13-22, 1966.
  16. S. Chandrasekhar, Liquid Crystals, 2nd ed. New York: Cambridge Univ. Press, 1992.
  17. E. P. Raynes and R. J. A. Tough, "The guiding of plane polarized light by twisted liquid crystal layers", Mol. Cryst. Liq. Cryst. Lett., vol. 2, pp. 139-145, 1985.
  18. A. Yariv and P. Yeh, Optical Waves in Crystals-Propagation and Control of Laser Radiation, New York: Wiley, 1984.
  19. P. Yeh and C. Gu, Optics of Liquid Crystal Displays, New York: Wiley, 1999.
  20. L. S. Srinath and S. Y. Keshavan, "A fast iterative procedure to determine photoelastic characteristic parameters", Mech. Res. Commun., vol. 5, pp. 159-165, 1978.
  21. I. C. Khoo and S. T. Wu, Optics and Nonlinear Optics of Liquid Crystals,: World Scientific, 1993.
  22. E. Collett, Polarized Light-Fundamentals and Applications, Reading, MA: Marcel Dekker, 1992.
  23. S. T. Tang, "Polarization optics of liquid crystal and its applications", Ph.D. disertation, Hong Kong Univ. of Science and Technology, 2001.
  24. S. T. Tang and H. S. Kwok, "3 × 3 matrix for unitary optical systems", J. Opt. Soc. Amer. A, vol. 18, pp. 2138-2145, 2001.

Other (24)

S. Huard, Polarization of Light, New York: Wiley, 1996.

H. Hurwitz and R. C. Jones, "A new calculus for the treatment of optical systems-II: Proof of three general equivalent theorems", J. Opt. Soc. Amer., vol. 31, pp. 493-499, Jul. 1941.

S. T. Tang and H. S. Kwok, "A new method to measure twist angle and cell gap of LC cells", in SID '98 Dig., 1998, pp. 552 -555.

M. Bosma, Method of Determination of Retardation and Twist Angle of Twisted Birefringent Layers, Deventer: The Netherlands: Akzo Nobel, 1997.

T. Inoue, "Method of measuring thickness of liquid crystal cells", U.S. Patent 5 239 365, Aug. 24, 1993.

A. Lien and H. Takano, "Cell gap measurement of filled twisted nematic liquid crystal displays by a phase compensation method", J. Appl. Phys., vol. 69, pp. 1304-1309, 1991.

A. Lien, "Simultaneous measurement of twist angle and cell gap of a twisted nematic cell by an optical method", in IDRC '91 , 1991, pp. 192-194.

X. Shao, T. Yu, Z. Wang, J. Yuan, J. Guo and X. Huang, "A new method to measure thickness of twist nematic liquid crystal cells", in EuroDisplay '96, 1996, pp. 309-312.

S. T. Tang and H. S. Kwok, "Reflective method of LCD measurement", in IDW '00, 2000, pp. 109-111.

S. T. Tang and H. S. Kwok, "Transmissive liquid crystal cell parameters measurement by spectroscopic ellipsometry", J. Appl. Phys., vol. 89, pp. 80-85, 2001 .

L. S. Srinath and A. V. S. S. S. R. Sarma, "Determination of the optically equivalent model in three-dimensional photoelasticity", Experimental Mechanics, vol. 14, pp. 118-122, 1974.

L. S. Srinath, K. Ramesh and V. Ramamurti, "Determination of characteristic parameters in three-dimensional photoelasticity", Optical Engineering, vol. 27, pp. 225-230, 1988.

H. Aben, Integrated Photoelasticity, New York: McGraw-Hill, 1979.

H. Aben, "Characteristic directions in optics of twisted birefringence media", J. Opt. Soc. Amer. A, vol. 3, pp. 1414-142, 1986.

H. Aben, "Optical phenomena in photoelastic models by the rotation of principal axes", Experimental Mechanics, vol. 6, pp. 13-22, 1966.

S. Chandrasekhar, Liquid Crystals, 2nd ed. New York: Cambridge Univ. Press, 1992.

E. P. Raynes and R. J. A. Tough, "The guiding of plane polarized light by twisted liquid crystal layers", Mol. Cryst. Liq. Cryst. Lett., vol. 2, pp. 139-145, 1985.

A. Yariv and P. Yeh, Optical Waves in Crystals-Propagation and Control of Laser Radiation, New York: Wiley, 1984.

P. Yeh and C. Gu, Optics of Liquid Crystal Displays, New York: Wiley, 1999.

L. S. Srinath and S. Y. Keshavan, "A fast iterative procedure to determine photoelastic characteristic parameters", Mech. Res. Commun., vol. 5, pp. 159-165, 1978.

I. C. Khoo and S. T. Wu, Optics and Nonlinear Optics of Liquid Crystals,: World Scientific, 1993.

E. Collett, Polarized Light-Fundamentals and Applications, Reading, MA: Marcel Dekker, 1992.

S. T. Tang, "Polarization optics of liquid crystal and its applications", Ph.D. disertation, Hong Kong Univ. of Science and Technology, 2001.

S. T. Tang and H. S. Kwok, "3 × 3 matrix for unitary optical systems", J. Opt. Soc. Amer. A, vol. 18, pp. 2138-2145, 2001.

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