Monte Carlo analysis of local distribution of negative refractive index in nanosphere-doped liquid crystal metamaterial

摘要

Khoo et al. have introduced the concept of tuning of negative refractive index using nanosphere dispersed nematic liquid crystal (NDLC). Recently, we have discussed anchoring forces as a new control parameter for negative-positive refraction index tuning in NDLC. In particular, we have calculated3 the phase diagrams in variables electric field - anchoring force for real and imaginary parts of permittivity and permeability for NDLC using averaged (global) value of refractive index for the inhhomogeneous system. In current paper we analyze an influence of anchoring forces and of spatial modulation of electric field on local distribution of negative refraction index in NDLC. The study constitutes a generalization of homogenous isotropic dielectric layer approximation used in papers. Inhomogeneous molecular order in planar NLC cells is modeled using Monte Carlo simulations with Lebwohl - Lasher effective hamiltonian and Rapini - Papoular term for anchoring forces.