Using the Wentzel–Kramers–Brillouin method to analyze the transmission and reflection of light by a layer of liquid-crystal drops dispersed in a polymeric matrix

Лойко В.А., Конколович А.В., Мискевич А.А. Применение метода Вентцеля–Крамерса–Бриллюэна для анализа пропускания и отражения света слоем жидкокристаллических капель, диспергированных в полимерной матрице // Оптический журнал. 2011. Т. 78. № 7. С. 48–55.

Loiko V.A., Konkolovich A.V., Miskevich A.A. Using the Wentzel–Kramers–Brillouin method to analyze the transmission and reflection of light by a layer of liquid-crystal drops dispersed in a polymeric matrix [in Russian] // Opticheskii Zhurnal. 2011. V. 78. № 7. P. 48–55.

V. A. Loĭko, A. V. Konkolovich, and A. A. Miskevich, "Using the Wentzel–Kramers–Brillouin method to analyze the transmission and reflection of light by a layer of liquid-crystal drops dispersed in a polymeric matrix," Journal of Optical Technology. 78(7), 455-459 (2011). https://doi.org/10.1364/JOT.78.000455

This paper discusses the transmission and reflection of light by a layer of spherical drops of a nematic liquid crystal dispersed in a polymeric binding matrix. An optical model has been developed for analyzing the coherent transmittance and reflectance of light under normal illumination with unpolarized light, based on a generalization of the Wentzel–Kramers–Brillouin approximation to the vector case. Analytical expressions are obtained for the amplitude-matrix elements when light is scattered strictly forward and backward for liquid-crystal drops with homogeneous configuration of the director. For nematic drops with a more complex director configuration, the effective-medium approximation is used to describe the scattering-matrix elements. The coherent transmittance and reflectance of light by monolayer films are analyzed for various orientations of the optical axes of the drops.

The research was supported by Belarusian republican fundamental research foundation (project No. Ф10Р-019).