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In this paper, we have theoretically investigated the effective dielectric permittivity of the nanocomposite (NC) layer of liquid crystal (LC) with silver nanoparticles at different radii using the Maxwell-Garnett model. The optical properties of a one-dimensional periodic structure (1DPS) of TiO2/SiO2 dielectric materials containing defect NC layer, (TiO2|SiO2)3|NC|(TiO2|SiO2)3, with different radii of silver nanoparticles studied theoretically using the well-known transfer matrix method (TMM). The effective permittivity of NC for  = 0° and 90° orientation angles of LC is calculated with varying sizes of the nanoparticles because the size of the silver nanoparticles affects the surface plasmon resonance (SPR). The transmission of defect mode wavelength peaks for 0° and 90° orientation angle of the LC is studied for different radii of nanoparticles. Besides this, we have also studied the absorption characteristics of the considered NC defect structure for different orientation of the LC with varying radii of the nanoparticles.

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