A novel waveguide structure containing nanoparticles with various substrate media has been proposed to find out the transmission and reflections of the incident light on the proposed structure. The Transfer matrix method has been applied to study the transverse electric TE and the transverse magnetic TM waves at an Antireflection (AR) coating structure for silicon solar cells with a nanoparticles-dielectric layer. The transmission and reflection coefficients have been derived at different incident angles of light and for various substrate's materials in wavelength region between 300 nm and 1200 nm. The numerical results, obtained by MAPLE software, highlight an enhancement of the transmission coefficient and reduction of the reflections for different substrate media. (C) 2016 Elsevier Ltd. All rights reserved.