ISSN 1063-7745, Crystallography Reports, 2013, Vol. 58, No. 1, pp. 144–149. © Pleiades Publishing, Inc., 2013.
Original Russian Text © M.I. Barnik, A.R. Geivandov, S.P. Palto, V.S. Palto, B.A. Umanskii, N.M. Shtykov, 2013, published in Kristallografiya, 2013, Vol. 58, No. 1, pp. 128–134.
144
INTRODUCTION
One important property of chiral liquid crystals
(CLCs) is their ability to form, under certain condi-
tions, a single-domain layer with a helical distribution
of the director (local optical axis) [1–3]. The geometry
in which the heliõ axis is oriented along the normal to
the layer is of special interest. In this case, the single-
domain CLC layer is one-dimensionally inhomoge-
neous. In any plane parallel to the layer plane (xy), the
molecules are oriented in the same way, undergoing
helical twist only along the layer normal (z axis)
(Fig. 1a). The helicity of the supramolecular structure,
characterized by a helix pitch P, together with the
optical anisotropy Δn = n
||
– n
⊥
, related to the differ-
ence in the principal refractive indices n
||
(along the
director) and n
⊥
(perpendicular to the director), give
rise to numerous optical effects, which can be used in
optical devices and laser technology [4, 5]. For exam-
ple, a large variety of electro-optic effects in both fer-
roelectric liquid crystals (LCs) and nematic CLCs is
related to the helix deformation in an electric field
(Fig. 1b) directed perpendicular to the helix axis [6–
8]. According to [8], the weak higher harmonics that
are produced in the spatial distribution of the director
under an electric field result in significant changes in
the light polarization state at the CLC layer output.
Thus, in the case of nematic CLCs, the spatial distri-
bution of the director in the electric field is character-
ized by not only the fundamental spatial frequency
q
0
= 2π/P, but also odd harmonics with frequencies
q
m
= 2π(2m + 1)/P, where m are natural numbers. In
the case of a helix pitch comparable to visible wave-
lengths, we can speak of induced additional “nano-
structured” deformation of the CLC director field.
The relaxation times of the induced deformation are
very fast due to the extreme smallness of its period.
The times appear to be shorter by several orders of
magnitude than the times of traditional electro-optic
effects in nematic LCs (NLCs). However, as the
study [8] showed, for a helix pitch of about ~1 μm, the
light at the output of a nematic CLC layer has a very
high spectral dispersion of polarization states and can-
not be blocked by a polarizer (analyzer) in a wide spec-
tral range. Thus, the fast electro-optic effect is appli-
cable only in a very narrow spectral range. In [9], the
LIQUID
CRYSTALS
Compensation for the Spectral Dispersion of Light Polarization
States in Electro-Optic Modulators Based on Chiral Liquid Crystals
M. I. Barnik, A. R. Geivandov, S. P. Palto, V. S. Palto, B. A. Umanskii, and N. M. Shtykov
Shubnikov Institute of Crystallography, Russian Academy of Sciences, Leninskii pr. 59, Moscow, 119333 Russia
e-mail: palto@hotmail.ru
Received March 23, 2012
Abstract—The effect of compensation for the spectral dispersion of light polarization states at the output of
a single-domain layer of a chiral liquid crystal (CLC) is experimentally studied. It is shown that such disper-
sion can be decreased significantly with the aid of phase plates of two types that have different signs of the
spectral dispersion of birefringence. The dispersion compensation allows one to significantly increase the
operating spectral range of fast light modulators based on chiral nematic liquid crystals (NLCs).
DOI: 10.1134/S1063774513010045
(a) E = 0 (b) E
x
y
Fig. 1. Schematic representation of the helical distribution
of LC director (the director indicating the preferred local
orientation of molecule axis is shown as a cylinder) with
(a) switched-off and (b) switched-on electric fields (indi-
cated by arrows). One helix turn is shown.