The numerical analysis of E-polarizied electromagnetic wave reflections from inhomogeneous dielectric layer

The work is devoted to the electromagnetic analysis of metamaterial based on a dielectric layer having inhomogeneous atoms distribution along the transverse coordinate. The paper considers the solution of a two-point boundary value problem of the plane linearly polarized electromagnetic wave reflection from an inhomogeneous dielectric layer. High-speed algorithm of electromagnetic wave reflection and transmission characteristics calculating based on solving a two-point boundary value problem is proposed. The frequency dependences of the reflection coefficients modulus are calculated for different real part of the complex permittivity inhomogeneous profiles at various incidence angles. It is shown that in the region of the lower normalized frequency range a dielectric layer with a parabolic profile has less reflection than a dielectric layer with a linear refractive index profile.