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Liquid Crystals and their Application
Russian Journal

Zhidkie kristally i ikh prakticheskoe ispol'zovanie

Жидкие кристаллы и их практическое использование

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Rus Eng

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Zhidk. krist. ikh prakt. ispol'z. = Liq. Cryst. and their Appl., 2016, 16 (1), 52—61.
DOI: 10.18083/LCAppl.2016.1.52





Edge Localized Modes in Optics of Photonic Liquid Crystals with Local Anisotropy of Absorption



V. A. Belyakov

Author affiliations
Landau Institute for Theoretical Physics RAS,
1а Akad. Semenova Ave., Chernogolovka, 142432, Russia
E-mail: bel@landau.ac.ru

Abstract
The edge optical modes in spiral photonic liquid crystals are theoretically studied for the certainty on the example of chiral liquid crystals (CLCs) with an anisotropic local absorption. The model chosen here (absence of dielectric interfaces in the studied structures) allows one to get rid off the polarization mixing at the surfaces of the CLC layer and to reduce the corresponding equations to the equations for the light of diffracting in the CLC polarization only. The dispersion equation determining connection of the edge mode (EM) frequencies with the CLC layer parameters (anisotropy of local absorption, CLC order parameter) is obtained. Analytic expressions for the transmission and reflection coefficients of CLC layer for the case of CLC with an anisotropic local absorption are presented and analyzed. It is shown that the CLC layers with locally anisotropic absorption reduce the EM lifetimes (and increase the lasing threshold) by the way different from the case of CLC with an isotropic absorption. Due to the Bormann effect revealing of which is different at the opposite stop-band edges in the case of CLC layers with an anisotropic local absorption the EM life-times for the EM frequencies at the opposite stop-bans edges may be significantly different. The options of experimental observations of the theoretically revealed phenomena are briefly discussed.

Keywords: chiral liquid crystals, edge modes, low threshold lasing, local absorption anisotropy, Bormann effect





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