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. 11, Iss. 7 — Jul. 1, 1994
  • pp: 2145–2155

Transmission of light through a slab of cholesteric liquid crystal

R. H. Good, Jr. and A. Karali  »View Author Affiliations


JOSA A, Vol. 11, Issue 7, pp. 2145-2155 (1994)
http://dx.doi.org/10.1364/JOSAA.11.002145


View Full Text Article

Enhanced HTML    Acrobat PDF (996 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A theoretical treatment is given of the problem of transmission of light through a slab of cholesteric liquid crystal. The axially symmetric arrangement is considered in which the faces of the crystal are perpendicular to the axis and the light propagation is parallel to the axis. The linear problem, as governed by Maxwell’s equations and the usual boundary conditions, is treated. Explicit solutions for the transmitted fields are obtained, for either circular polarization of the incident wave. Several limiting cases are discussed, in which especially simple formulas apply and in which there are physical pictures of the transmission phenomena.

© 1994 Optical Society of America

History
Original Manuscript: August 9, 1993
Revised Manuscript: January 7, 1994
Manuscript Accepted: January 28, 1994
Published: July 1, 1994

Citation
R. H. Good and A. Karali, "Transmission of light through a slab of cholesteric liquid crystal," J. Opt. Soc. Am. A 11, 2145-2155 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-7-2145


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. C. Mauguin, “Sur les cristaux liquides de Lehmann,” Bull. Soc. Fr. Mineral. Cristallogr. 34, 71–117 (1911).
  2. C. W. Oseen, “The theory of liquid crystals,” Trans. Faraday Soc. 29, 883–899 (1933). [CrossRef]
  3. H. de Vries, “Rotatory power and other optical properties of certain liquid crystals,” Acta Crystallogr. 4, 219–226 (1951). [CrossRef]
  4. P. G. de Gennes, The Physics of Liquid Crystals (Oxford U. Press, London, 1974), Chap. 6.
  5. S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge U. Press, Cambridge, 1992), Sec. 4.1.3. [CrossRef]
  6. V. A. Belyakov, Diffraction Optics of Complex-Structured Periodic Media (Springer-Verlag, New York, 1992), Sec. 1.3. [CrossRef]
  7. D. W. Berreman, T. J. Scheffer, “Bragg reflection of light from single-domain cholesteric liquid crystal films,” Phys. Rev. Lett. 25, 577–581 (1970);“Reflection and transmission by single-domain cholesteric liquid crystal films, theory and verification,” Mol. Cryst. Liq. Cryst. 11, 395–405 (1970) [CrossRef]
  8. C. Oldano, E. Miraldi, P. Taverna Valabrega, “Dispersion relation for propagation of light in cholesteric liquid crystals,” Phys. Rev. A 27, 3291–3299 (1983). [CrossRef]
  9. Ref. 4, p. 221.
  10. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), Sec. 1.5.
  11. Ref. 4, p. 231.
  12. H. Baessler, P. A. G. Malya, W. R. Nes, M. M. Labes, “The absence of helical inversion in single component cholesteric liquid crystals,” Mol. Cryst. Liq. Cryst. 6, 329–338 (1970).
  13. S. Chandrasekhar, J. Shashidhara Prasad, “Theory of rotatory dispersion of cholesteric liquid crystals,” Mol. Cryst. Liq. Cryst. 14, 115–128 (1971). [CrossRef]
  14. J. C. Martin, R. Cano, “Light propagation in cholesteric liquid crystals in a domain including inversion range,” Nouv. Rev. Opt. 7, 265–273 (1976). [CrossRef]
  15. S. Chandrasekhar, G. S. Ranganath, K. A. Suresh, “Dynamical theory of reflection from cholesteric liquid crystals,” in Proceedings of the International Liquid Crystals Conference, Bangalore, S. Chandrasekhar, ed. (Pramana, 1973), Supp. I, p. 341.
  16. R. Dreher, G. Meier, A. Saupe, “Selective reflection by cholesteric liquid crystals,” Mol. Cryst. Liq. Cryst. 13, 17–26.

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