Browse > Article
http://dx.doi.org/10.3807/KJOP.2017.28.1.033

Universality of the Quasi-linear Relation Between the Order Parameter and the Normalized Birefringence of Aligned Uniaxially Anisotropic Molecules  

Kim, Sang Youl (Department of Physics, Ajou University)
Publication Information
Korean Journal of Optics and Photonics / v.28, no.1, 2017 , pp. 33-38 More about this Journal
Abstract
The universality of the quasi-linear relation between the order parameter S and the normalized birefringence ${\Delta}n_{rel}$, $S=(1+a){\Delta}n_{rel}-a{\Delta}n^2_{rel}$ is confirmed. It is verified that the refractive index of liquid crystals distributed with regular polyhedral symmetry is isotropic and it is given as $\frac{1}{n^2_{av}}=\frac{1}{3}\(\frac{1}{n^2_e}+\frac{2}{n^2_o}\){\cdot}S$ and ${\Delta}n_{rel}$ of angular weighted liquid crystals that are initially distributed with regular polyhedral symmetry, are numerically calculated. Also ${\Delta}n_{rel}$ and S of liquid crystals that are conically distributed, keeping the rotational symmetry about z-axis are calculated as the apex angle of the cone is varied. Based on these calculated results, it is confirmed that the quasi-linear relation between S and ${\Delta}n_{rel}$ is universal, independent of the details of the distribution function.
Keywords
Order Parameter; Birefringence; Universality of the Quasi-linear Relation; Alignment of Liquid Crystal;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 P. Yeh and C. Gu, Optics of Liquid Crystal Display (John Wiley & Sons, Inc., New York, 1999) Chapter 1 & Chapter 5.
2 D.-K. Yang and S.-T. Wu, Fundamentals of Liquid Crystal Devices (John Wiley & Sons, Ltd., 2006) Chapter 1 & Chapter 5-7.
3 P. G. de Gennes, "Short range order effects in the isotropic phase of nematics and cholesterics," Molecular Crystals and Liquid Crystals 12, 193-214 (1971).   DOI
4 M. N. Akimov, O. F. Bezrukov, M. F. Vuks, and A. V. Struts, "The study of birefringence and orientational order in plastic tert-butyl bromide," Molecular Cryst. and Liq. Cryst. Inc. Nonlinear Opt. 192(1), 197-201 (1990).   DOI
5 M. Mitra, S. Paul, and R. Paul, "Optical birefringence and order parameter of three nematogens," J. Physics 29(4), 409-417 (1987).
6 A. V. Maksimov, T. A. Valkova, and O. G. Maksimova, "Orientation order and birefringence in nanolayers of polymer films," Bull. Russian Acadmy of Sciences, Physics 77(8), 1064-1067 (2013).   DOI
7 S. Patari, T. K. Devi, and A. Nath, "Studies of optical texture, birefringence, order parameter, normalized polarizability and validation of the four-parameter model of a thermotropic mesogen 7OAOB," J. Molecular Liq. 215, 244-252 (2016).   DOI
8 V. G. K. M. Pisipati, D. Madhavi Latha, P. V. Datta Prasad, and G. Padmaja Rani, "Order parameter studies from effective order geometry in a number of liquid crystals of different homologous series," J. Molecular Liq. 174, 1-4 (2012).   DOI
9 H. Ozbek, S. Ustunel, E. Kutlu, and M. C. Cetinkaya, "A simple method to determine high-accuracy refractive indices of liquid crystals and the temperature behavior of the related optical parameters via high-resolution birefringence data," J. Molecular Liq. 199, 275-286 (2014).   DOI
10 V. S. Chandel, R. Manohar, and J. P. Shukla, "Refractive indices, order parameter and density study of BKS/B07 nematic liquid crystal," Anal. Univ. Bucuresti-Chimie 20(2), 155-163 (2011).
11 A. Kumar, "Calculation of optical parameters of liquid crystals," Acta Physica Polonica A 112(6), 1213-1221 (2007).   DOI
12 S. Y. Kim, "The explicitly quasi-linear relation between the order parameter and normalized birefringence of aligned uniaxially anisotropic molecules determined using a numerical method," Korean J. Opt. Photon. 27(6), 223-228 (2016).   DOI
13 S. Y. Kim, "Ellipsometric expressions for two uniaxially anisotropic layers coated on a multilayered substrate," Korean J. Opt. Photon. 26(2), 115-120 (2015).   DOI
14 M. G. Robinson, J. Chen, and G. D. Sharp, Polarization Engineering for LCD Projection (John Wiley & Sons, Ltd., 2005) Chapter 5.