Abstract
We have developed a model and realized an algorithm for the calculation of the coefficient of coherent (direct) transmission of light through a layer of liquid crystal (LC) droplets in a polymer matrix. The model is based on the Hulst anomalous diffraction approximation for describing the scattering by an individual particle and the Foldy-Twersky approximation for a coherent field. It allows one to investigate polymer dispersed LC (PDLC) materials with homogeneous and inhomogeneous interphase surface anchoring on the droplet surface. In order to calculate the configuration of the field of the local director in the droplet, the relaxation method of solving the problem of minimization of the free energy volume density has been used. We have verified the model by comparison with experiment under the inverse regime of the ionic modification of the LC-polymer interphase boundary. The model makes it possible to solve problems of optimization of the optical response of PDLC films in relation to their thickness and optical characteristics of the polymer matrix, sizes, polydispersity, concentration, and anisometry parameters of droplets. Based on this model, we have proposed a technique for estimating the size of LC droplets from the data on the dependence of the transmission coefficient on the applied voltage.
Similar content being viewed by others
References
L. M. Blinov and V. G. Chigriniv, Electrooptic Effects in Liquid Crystal Materials (Springer, New York, 1993).
G. P. Crawford, Flexible Flat Panel Displays, (Wiley, Hoboken, 2005).
J. A. Castellano, Liquid Gold: The Story of Liquid Crystal Displays and the Creation of an Industry (World Scientific, Singapore, 2005).
F. Simoni, Nonlinear Properties of Liquid Crystals and Polymer Dispersed Liquid Crystals (World Scientific, Singapore, 1997).
L. W. MacDonald and A. C. Lowe, Display Systems, (Wiley, New York, 1997).
V. G. Chigrinov, Liquid Crystal Devices: Physics and Application (Artech House, Boston, London, 1999).
G. E. Volovik and O. D. Lavrentovich, Sov. Phys. JETP 58, 1159 (1983).
P. S. Drzaic, Liquid Crystal Dispersions (World Scientific, Singapore, 1995).
J. L. West, J. W. Doane, and S. Zumer, US Patent No. 4685771 (1987).
V. K. Freedericksz and V. Zolina, Trans. Faraday Soc. 29, 919 (1933).
E. Dubois-Violette and P. G. de Gennes, J. Phys. Lett. 36, L255 (1975).
L. M. Blinov, E. I. Kats, and A. A. Sovin, Sov. Phys. Usp. 30, 604 (1987).
G. Ryschenkow and M. Kl-man, J. Chem. Phys. 64, 404 (1976).
L. M. Blinov, N. N. Davydova, A. A. Sonin, et al., Sov. Phys. Crystallogr. 29, 320 (1984).
L. Komitov, B. Helgee, and J. Felix, Appl. Phys. Lett. 86, 023502 (2005).
V. Ya. Zyryanov, M. N. Krakhalev, O. O. Prishchepa, and A. V. Shabanov, JETP Lett. 86, 383 (2007).
V. Ya. Zyryanov, M. N. Krakhalev, and O. O. Prishchepa, JETP Lett. 88, 597 (2008).
A. Walther and A. Muller, Soft Matter 4, 663 (2008).
A. Perro, S. Reculusa, S. Ravaine, E. Bourgeat-Lami, and E. Duguet, J. Mater. Chem. 15, 3745 (2005).
F. Basile, F. Bloisi, L. Vicari, and F. Simoni, Phys. Rev. E 48, 432 (1993).
V. V. Presnyakov and T. V. Galstian, Mol. Cryst. Liq. Cryst. 413, 435 (2004).
V. A. Loiko and A. V. Konkolovich, J. Exp. Theor. Phys. 103, 935 (2006).
V. A. Loiko and V. I. Molochko, Tech. Phys. 44, 1340 (1999).
J. D. Klett and R. A. Sutheland, Appl. Opt. 31, 373 (1997).
S. Zumer, Phys. Rev. A 37, 4006 (1988).
D. A. Yakovlev and O. A. Afonin, Opt. Spectrosc. 82, 78 (1997).
V. A. Loiko, P. G. Maksimenko, and A. V. Konkolovich, Opt. Spectrosc. 105, 791 (2008).
A. D. Kiselev, O. V. Yaroshchuk, and L. Dolgov, J. Phys.: Condens. Matter 16, 183 (2004).
A. P. Ivanov, A. V. Loiko, and V. P. Dik, Light Propagation in Densely-Packed Dispersed Media (Nauka Tekhnika, Minsk, 1988).[in Russian].
V. A. Loiko, U. Maschke, V. Ya. Zyryanov, A. V. Konkolovich, and A. A. Miskevich, Opt. Spectrosc. 110, 110 (2011).
A. Khan, I. Shiyanovskaya, T. Schneider, et al., J. SID 15, 9 (2007).
M. N. Krakhalev, V. A. Loiko, and V. Ya. Zyryanov, Tech. Phys. Lett. 37, 34 (2011).
O. O. Prishchepa, A. V. Shabanov, V. Ya. Zyryanov, A.M. Parshin, and V. G. Nazarov, JETP Lett. 84, 607 (2006).
A. Mertelj and M. Copic, Phys. Rev. E 75, 011705 (2007).
O. O. Prishchepa, M. Kh. Egamov, V. P. Gerasimov, et al., Izv. Vyssh. Uchebn. Zaved., Fiz. 56 (2/2), 258 (2013).
A. Ishimaru, Propagation and Scattering of Waves in Random Media (Academic, New York, 1978; Mir, Moscow, 1981).
H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981; Inostr. Liter., Moscow, 1961).
L. G. Apresyan and Yu. A. Kravtsov, Radiation Transfer (Gordon Breach, Basel, Switzerland, 1996; Nauka, Moscow, 1983).
S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Introduction to Statistical Radiophysics. Random Fields (Nauka, Moscow, 1978).[in Russian].
E. F. Ishchenko and A. L. Sokolov, Polarizing Optics (Mosk. Energet. Inst., Moscow, 2005).[in Russian].
A. Yu. Val-kov, E. V. Aksenova, and V. P. Romanov, Phys. Rev. E 87, 022508 (2013).
O. O. Prishchepa and A. V. Shabanov, JETP Lett. 84, 723 (2006).
Yu. G. Soloveichik, M. E. Royak, and M. G. Persova, Finite Element Method for Solving Scalar and Vector Problems (Novosib. Gos. Tekh. Univ., Novosibirsk, 2007).[in Russian].
M. N. Krakhalev, V. A. Loiko, and V. Ya. Zyryanov, Tech. Phys. Lett. 37, 34 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.A. Loiko, V.Ya. Zyryanov, A.V. Konkolovich, A.A. Miskevich, 2016, published in Optika i Spektroskopiya, 2016, Vol. 120, No. 1, pp. 158-168.
Rights and permissions
About this article
Cite this article
Loiko, V.A., Zyryanov, V.Y., Konkolovich, A.V. et al. Light transmission of polymer-dispersed liquid crystal layer composed of droplets with inhomogeneous surface anchoring. Opt. Spectrosc. 120, 143–152 (2016). https://doi.org/10.1134/S0030400X16010112
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X16010112