Extension and Application of the Method of Single Expression (MSE) for Analysis of Plane Electromagnetic Wave Oblique Incidence on a Dielectric Slab

An extension of the method of single expression (MSE) for the analysis of plane electromagnetic wave oblique incidence on a dielectric slab is performed. Corresponding Helmholtz's equation, boundary conditions and the expression for power flow density are derived in the terms of MSE for TE and TM electromagnetic waves. TE wave oblique incidence on a wavelength-scale dielectric slab of low (high) permittivity surrounded by media of high (low) permittivity is analysed. The reflectance peculiarities of the slab and the distribution of electric field amplitude inside it are presented. For a slab of low permittivity surrounded by media of high permittivity the phenomenon of frustrated total internal reflection (FTIR) is observed and analysed.