Multiple Reflection from Layered Heterogeneous Medium

The paper presents the problem of algorithm design of propagation, reflection and refraction of the electromagnetic waves on a layered medium. The analytic solution of this issue is very intricate and time demanding. This method is suitable for specific purposes of the detailed analysis of the general issue. Numerical methods are more suitable for analysis of the reflection and refraction of electromagnetic waves on layered heterogeneous medium. Fundamental law for analysis of the reflection and the refraction of electromagnetic waves on the boundary line between two materials are Snell's law for electromagnetic waves. The paper deals with the problem of complex angle of refraction in the losing medium. In non-lossy environment, interpretation of Fresnel relations and Snell's law is simple. For a layered heterogeneous medium, an algorithm was prepared for the reflection on several layers in Mat Lab program environment. Methods described in this paper are suitable for analysis of beam refraction to the other side from the perpendicular line during the passage through the interface. This phenomenon is occur in metamaterial. These materials with negative parameters constitute a group of media that possesses a negative value, relative permittivity or relative permeability or both.