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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 4 — Feb. 25, 2013
  • pp: 4244–4249

Phase retardation vs. pretilt angle in liquid crystal cells with homogeneous and inhomogeneous LC director configuration

Victor Belyaev, Alexey Solomatin, and Denis Chausov  »View Author Affiliations

Optics Express, Vol. 21, Issue 4, pp. 4244-4249 (2013)

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Phase retardation of both extraordinary and ordinary polarized rays passing through a liquid crystal (LC) cell with homogeneous and inhomogeneous LC director distribution is calculated as a function of the LC pretilt angle θ 0 on the cell substrates in the range 0 θ 0 90° . The LC pretilt on both substrates can have the same or opposite direction, thereby forming homogeneous, splay, or bend director configurations. At the same pretilt angle value, the largest phase retardation ΔΦ is observed in splay LC cells, whereas the smallest phase retardation is observed in bend cells. For the θ 0 values close to 0, 45°, and 90°, analytical approximations are derived, showing that phase retardation depends on LC birefringence variation.

© 2013 OSA

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(160.3710) Materials : Liquid crystals

ToC Category:
Optical Devices

Original Manuscript: November 22, 2012
Revised Manuscript: December 25, 2012
Manuscript Accepted: January 28, 2013
Published: February 12, 2013

Victor Belyaev, Alexey Solomatin, and Denis Chausov, "Phase retardation vs. pretilt angle in liquid crystal cells with homogeneous and inhomogeneous LC director configuration," Opt. Express 21, 4244-4249 (2013)

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  1. K. Hanaoka, Y. Nakanishi, Y. Inoue, S. Tanuma, and Y. Koike, “A New MVA-LCD by Polymer Sustained Alignment Technology”, in SID’04 Digest, (2004), pp.1200–1203.
  2. P. J. Bos, “Passive Optical Phase Retarders for Liquid Crystal Displays”, in 14th IDRC Proc., (1994), p.118.
  3. X.-D. Mi, M. Xu, D.-K. Yang, and P. J. Bos, “Effects of pretilt angle on electro-optical properties of Pi-cell LCDs”, in SID’99 Digest (1999), pp.24–27.
  4. D. K. Yang and S. T. Wu, “Fundamentals of Liquid Crystal Devices” (Wiley, NY, 2006).
  5. S. Chandrasekhar, Liquid Crystals (Cambridge University Press, 1992).
  6. L. M. Blinov and V. G. Chigrinov, Electrooptic Effects in Liquid Crystal Materials (Springer, 1996). p.149.
  7. V. G. Chigrinov, “Orientation effects in nematic liquid crystals in electric and magnetic fields,” Sov. Phys. Crystallogr.27, 245–264 (1982).
  8. A. Muravsky, A. Murauski, V. Mazaeva, and V. Belyaev, “Parameters on the LC alignment of organosilicon compound films,” J. Soc. Inf. Disp.13(4), 349–354 (2005). [CrossRef]
  9. A. Murauski, V. Chigrinov, A. Muravsky, F. S. Y. Yeung, J. Ho, and H. S. Kwok, “Determination of liquid-crystal polar anchoring energy by electrical measurements,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.71(6), 061707 (2005). [CrossRef] [PubMed]
  10. Ch. Hitzenberger, E. Goetzinger, M. Sticker, M. Pircher, and A. Fercher, “Measurement and imaging of birefringence and optic axis orientation by phase resolved polarization sensitive optical coherence tomography,” Opt. Express9(13), 780–790 (2001). [CrossRef] [PubMed]
  11. G. A. Beresnev, V. G. Chigrinov, and M. F. Grebenkin, “New method to determine K33/K11 ratio in nematic liquid crystals,” Crystallogr. Rep.27, 1019–1021 (1982).
  12. C. Dascalu, “Asymmetric electrooptic response in a nematic liquid crystal,” Rev. Mex. Fis.47, 281–285 (2001).
  13. X. Nie, “Anchoring energy and pretilt angle effects on liquid crystal response time”, Ph.D. Thesis, University of Central Florida, 2007.
  14. V. V. Belyaev and V. G. Mazaeva, “Green technologies of LC alignment on the base of organosilicon compunds”, in SID’11 Digest (2011), pp.1412–1415.
  15. V. V. Belyaev, A. S. Solomatin, D. N. Chausov, and A. A. Gorbunov, “Measurement of the LC pretilt angle and polar anchoring in cells with homogeneous and inhomogeneous LC director configuration and weak anchoring on organosilicon aligning films”, in SID’12 Digest, (2012), pp.1422–1425.

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