OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 10 — Oct. 1, 1976
  • pp: 1003–1009

Transmission characteristics of a twisted nematic liquid-crystal layer

J. Grinberg and A. D. Jacobson  »View Author Affiliations

JOSA, Vol. 66, Issue 10, pp. 1003-1009 (1976)

View Full Text Article

Acrobat PDF (819 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An approximate analytical expression is calculated for the transmission of thin twisted nematic layers situated between a polarizer/analyzer pair. The approximation assumes that the twist angle of the nematic liquid crystal is smaller than the maximum retardation of the cell. The direction of the incident light is assumed to be parallel to the normal of the electrode. This configuration is analyzed for a general arrangement of polarizer and analyzer; the general result is evaluated for the case of the polarizer parallel and analyzer perpendicular to the liquid-crystal optical axis on the input and output electrodes, respectively. The results show that in the case of a thin twisted nematic layer the transmission depends on the thickness of the layer, on the birefringence of the liquid crystal, and on the wavelength of the light. This is a departure from the well-known independence of the transmission on these parameters for a thick twisted nematic layer. The analysis also shows that the transmission through thin layers can be minimized by tuning the layer thickness to particular values that depend on wavelength and on liquid-crystal birefringence. In this way, high image contrast can be obtained even for thin liquid-crystal layers.

© 1976 Optical Society of America

J. Grinberg and A. D. Jacobson, "Transmission characteristics of a twisted nematic liquid-crystal layer," J. Opt. Soc. Am. 66, 1003-1009 (1976)

Sort:  Author  |  Journal  |  Reset


  1. M. Schadt and W. Helfrich, Appl. Phys. Lett. 18, 127–128 (1971).
  2. F. Pockels, Lehrbuch der Krystalloptic (B. G. Teubner, Berlin, 1906).
  3. S. Ramaseshan, Proc. Ind. Acad. Sol. 34A, 32 (1951).
  4. H. de Vries, Acta Crystallogr. 4, 219 (1951).
  5. H. Mada and S. Kobayaski, Rev. Phys. Appl. 10, 147 (1975).
  6. C. H. Gooch and H. A. Tarry, Electron. Lett. 10, (1973).
  7. R. Azzam and N. Bashara, J. Opt. Soc. Am. 62, 1252 (1972).
  8. R. Dreher and G. Meier, Phys. Rev. A 8, 1616 (1973).
  9. R. Dreher and G. Meier, Solid State Commun. 13, 607 (1973).
  10. G. Conners, J. Opt. Soc. Am. 58, 875 (1968).
  11. S. Chandrasekhar and K. Rao, Acta. Crystallogr. A 24, 445 (1968).
  12. M. Mauguin, Bull. Soc. Franc. Miner. Crisf. 34, 71 (1911).
  13. J. Billard, Mol. Cryst. 3, 227 (1967).
  14. T. J. Scheffer, J. Appl. Phys. 44, 4799–4803 (1973).
  15. I. A. Shanks, Electron. Lett. 10, 7 (1974).
  16. E. P. Raynes and I. A. Shanks, Electron. Lett. 10, 7 (1974).
  17. S. Sato and M. Wada, IEEE Trans. Electron. Devices ED-21, 312 (1974).
  18. J. Grinberg et al., IEEE Trans. Electron. Devices ED-22, 775–783 (1975).
  19. J. Grinberg et al., J. SPIE 14, 217–225 (1975).
  20. See, for example, A. L. Goodman, J. Vac. Sci. Technol. 10, 804–823 (1973).
  21. Dwight W. Berreman, J. Opt. Soc. Am. 43, 1374 (1973).
  22. J. E. Bigelow and R. A. Kashnow, G. E. Technical Information Series Report No. 74, CDR 090, June 1974 (unpublished), and the references included therein.

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