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Computation of Refraction Angle in Nanosphere Dispersed Liquid Crystal Hyperbolic Metamaterial: A Tutorial
G. Pawlik, A.C. Mitus And I.C. Khoo

The analytical study of light propagation in hyperbolic metamaterials requires, even in simplest cases, a large amount of tedious algebra. In the literature the details are, as a rule, not discussed. In this tutorial we present the geometrical framework for the analytical calculation of the angle of refraction of light in nanosphere dispersed liquid crystal hyperbolic metamaterial. The theory is illustrated with simple examples.

Keywords: Nanosphere dispersed liquid crystal, metamaterials, negative refractions

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