Electric Field Strength in Layered Materials with Varied Parameters

The authors report on an analysis of conditions on the boundary between layers having varied electromagnetic properties. Wave propagation in a layered material structure is discussed, utilizing analytical formulas for electric field strengths based on Snell's law and employing the Ray-tracing method for calculations associated with the propagation of the electromagnetic field. The analysis-related tasks are solved in the Matlab program. In our previous publications, this approach was compared with the analysis that exploits the FEM applied to the wave equation. The analytical solution includes the time-dependent propagation of electromagnetic waves in a heterogeneous medium and evaluates the distribution of the electromagnetic field on the surfaces of the boundaries at certain moments of time. The main designed algorithm facilitates simple evaluation of all components of the electromagnetic field in relation to the speed of the wave propagation in a heterogeneous medium. Silicon was chosen as a sample material. The material parameters are used with respect to their dependence on the wavelength of the electromagnetic wave; these parameters are obtained from the Refractive index database.