OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 11 — Nov. 1, 1999
  • pp: 2772–2780

Comparison of extended Jones matrices for twisted nematic liquid-crystal displays at oblique angles of incidence

F. H. Yu and H. S. Kwok  »View Author Affiliations


JOSA A, Vol. 16, Issue 11, pp. 2772-2780 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002772


View Full Text Article

Enhanced HTML    Acrobat PDF (199 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Detailed formulas were derived by using Yeh’s formulation of the extended 2×2 Jones matrix and applied to twisted nematic liquid-crystal displays at oblique angles of incidence. Numerical comparisons of this extended Jones matrix method with the exact 4×4 Berreman matrix and with the extended Jones matrix of Lien are presented. The various extended Jones matrix formulations differ in their approach to boundary-condition matching between the model birefringent layers. We show that Yeh’s version is a more accurate approximation to the full 4×4 matrix. This extended Jones matrix method is fast, direct, and simple. It is also physically more intuitive.

© 1999 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(080.2730) Geometric optics : Matrix methods in paraxial optics
(120.2040) Instrumentation, measurement, and metrology : Displays
(160.3710) Materials : Liquid crystals
(230.3720) Optical devices : Liquid-crystal devices

History
Original Manuscript: April 12, 1999
Revised Manuscript: June 16, 1999
Manuscript Accepted: June 16, 1999
Published: November 1, 1999

Citation
F. H. Yu and H. S. Kwok, "Comparison of extended Jones matrices for twisted nematic liquid-crystal displays at oblique angles of incidence," J. Opt. Soc. Am. A 16, 2772-2780 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-11-2772


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. Wohler, “Numerical methods for parameter optimization of liquid crystal display,” in Proceedings of the Society for Information Display International Symposium, Santa Ana, California (Society for Information Display, San Jose, Calif., 1991), pp. 582–585.
  2. M. Schadt, W. Helfrich, “Voltage-dependent optical activity of twisted nematic liquid crystal,” Appl. Phys. Lett. 18, 127–128 (1971). [CrossRef]
  3. T. J. Scheffer, J. Nehring, “A new highly multiplexable liquid crystal display,” Appl. Phys. Lett. 45, 1021–1023 (1984). [CrossRef]
  4. G. H. Gooch, H. A. Tarry, “The optical properties of twisted nematic liquid crystal structures with twist angles <90°,” J. Phys. D 8, 1575–1584 (1975). [CrossRef]
  5. D. W. Berreman, “Optics in stratified and anisotropic media: 4×4 matrix formulation,” J. Opt. Soc. Am. 62, 502–510 (1972);“Optics in smoothly varying anisotropic planar structure: application to liquid crystal twist cells,” J. Opt. Soc. Am. 63, 1374–1380 (1973). [CrossRef]
  6. H. Wöhler, G. Hass, M. Fritsch, D. A. Mlynski, “Faster 4×4 matrix method for inhomogeneous uniaxial media,” J. Opt. Soc. Am. A 5, 1554–1557 (1988). [CrossRef]
  7. K. H. Yang, “Elimination of the Fabry–Perot effect in the 4×4 matrix method for inhomogeneous uniaxial media,” J. Appl. Phys. 66, 1550–1554 (1990). [CrossRef]
  8. P. Yeh, “Extended Jones matrix method,” J. Opt. Soc. Am. 72, 507–513 (1982). [CrossRef]
  9. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 201–253.
  10. C. Gu, P. Yeh, “Extended Jones matrix method. II,” J. Opt. Soc. Am. A 10, 966–973 (1993). [CrossRef]
  11. A. Lien, “Extended Jones matrix representation for the twisted nematic liquid-crystal display at oblique incidence,” Appl. Phys. Lett. 57, 2767–2769 (1990). [CrossRef]
  12. A. Lien, C. J. Chen, “A new 2×2 matrix representation for twisted nematic liquid crystal displays at oblique incidence,” Jpn. J. Appl. Phys. 35, L1200–L1203 (1996). [CrossRef]
  13. Kanghua Lu, B. E. A. Saleh, “Reducing Berreman’s 4×4 formulation of liquid crystal display optics to 2×2 Jones vector equations.” Opt. Lett. 17, 1557–1559 (1993). [CrossRef]
  14. C. J. Chen, A. Lien, M. I. Nathan, “A general method to solve the deformation profile of chiral nematic LCDs with asymmetric pretilt,” in Society for Information Display International Symposium, Orlando, Florida (Society for Information Display, San Jose, Calif., 1995), pp. 548–551.
  15. H. J. Deuling, “Deformation pattern of twisted nematic liquid crystal layers in an electric field,” Mol. Cryst. Liq. Cryst. 27, 123–131 (1974). [CrossRef]
  16. B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), pp. 193–237.
  17. T. J. Scheffer, J. Nehring, “Accurate determination of liquid crystal tilt bias angles,” J. Appl. Phys. 48, 1783–1792 (1977). [CrossRef]
  18. K. Y. Han, T. Miyashita, T. Uchida, “Accurate determination and measurement error of the pretilt angle in the liquid crystal cell,” Jpn. J. Appl. Phys. Part 2 32, L277–L279 (1993). [CrossRef]
  19. K. Y. Han, T. Miyashita, T. Uchida, “Accurate measurement of pretilt angle in the liquid crystal cell by an improved crystal rotation method,” Mol. Cryst. Liq. Cryst. 241, 147–157 (1994). [CrossRef]
  20. K. Shrota, M. Yaginuma, K. Ishikawa, H. Takezoe, A. Fukuda, “Modified crystal rotation method for measuring high pretilt angle in the liquid crystal cells,” Jpn. J. Appl. Phys. Part 1 34, 4905–4906 (1995). [CrossRef]
  21. L. M. Blinov, V. G. Chigrinov, Electrooptic Effects in Liquid Crystal Materials (Springer-Verlag, New York, 1994).
  22. H. S. Kwok, “Parameter space representation of liquid crystal display operating mode,” J. Appl. Phys. 80, 3687–3693 (1996). [CrossRef]
  23. S. T. Tang, F. H. Yu, J. Chen, M. Wong, H. C. Huang, H. S. Kwok, “Reflective nematic liquid crystal displays. I. Retardation compensation,” J. Appl. Phys. 81, 5924–5929 (1997). [CrossRef]
  24. F. H. Yu, J. Chen, S. T. Tang, H. S. Kwok, “Reflective nematic liquid crystal displays. II. Elimination of retardation film and rear polarizer,” J. Appl. Phys. 82, 5287–5295 (1997). [CrossRef]
  25. J. Chen, F. H. Yu, H. C. Huang, H. S. Kwok, “Reflective supertwisted liquid crystal displays,” Jpn. J. Appl. Phys., Part 1 37, 217–223 (1998). [CrossRef]
  26. J. Lekner, “Optical properties of a uniaxial layer,” Pure Appl. Opt. 3, 821–837 (1994). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited