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Photonics Research

Photonics Research

| A joint OSA/Chinese Laser Press publication

  • Editor: Zhiping (James) Zhou
  • Vol. 1, Iss. 1 — Jun. 1, 2013
  • pp: 58–64

Analytic solutions of the normal modes and light transmission of a cholesteric liquid crystal cell

Sabrina Relaix, Mykhailo Pevnyi, Wenyi Cao, and Peter Palffy-Muhoray  »View Author Affiliations

Photonics Research, Vol. 1, Issue 1, pp. 58-64 (2013)

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Cholesteric liquid crystals, consisting of chiral molecules, form self-assembled periodic structures exhibiting a photonic bandgap. Their selective reflectivity makes them well suited for a variety of applications; their optical response is therefore of considerable interest. The reflectance and transmittance of finite cholesteric cells is usually calculated numerically. Evanescent modes in the bandgap make the calculations challenging; existing matrix propagation methods cannot describe the reflection and transmission coefficients of thick cholesteric cells accurately. Here we present analytic solutions for the electromagnetic fields in cholesteric cells of finite thickness, and use them to calculate the transmission and reflection spectra. The use of analytic solutions allows for the accurate description of arbitrarily thick cholesteric cells, which would not be possible with only direct numerical methods.

© 2013 Chinese Laser Press

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(160.3710) Materials : Liquid crystals
(260.1440) Physical optics : Birefringence
(160.1585) Materials : Chiral media
(160.5293) Materials : Photonic bandgap materials

ToC Category:
Photonic Manipulation

Original Manuscript: March 8, 2013
Revised Manuscript: April 17, 2013
Manuscript Accepted: April 17, 2013
Published: June 11, 2013

Sabrina Relaix, Mykhailo Pevnyi, Wenyi Cao, and Peter Palffy-Muhoray, "Analytic solutions of the normal modes and light transmission of a cholesteric liquid crystal cell," Photon. Res. 1, 58-64 (2013)

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