Вестник московского государственного областного университета. Серия: Физика-математика (Dec 2019)

THEORY OF DIELECTRIC SUSCEPTIBILITY OF NEMATIC NANOCOMPOSITES DOPED WITH SPHERICAL NANOPARTICLES

  • Осипов Михаил Алексеевич

DOI
https://doi.org/10.18384/2310-7251-2019-2-14-23
Journal volume & issue
no. 2
pp. 14 – 23

Abstract

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A theory of dielectric susceptibility of a nematic liquid crystal doped with isotropic nanoparticles has been developed using a simple model of a spherical nanoparticle embedded into an anisotropic dielectric medium. A simple expression is obtained for the effective polarizability of a nanoparticle in the nematic dielectric matrix. This expression is used in the theory of the macroscopic dielectric susceptibility of the nanocomposite which is developed using the anisotropic Lorentz-Lorenz equation. Finally, a shift and a splitting of the plasmon resonance of a nanoparticle are calculated determined by the polarizability anisotropy of the liquid crystal host.

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