Reflection/refraction of a solid layer by Debye's series expansion

Abstract

The aim of this paper is to expand in a Debye's series the well-known solution of the reflection/refraction of a plane wave at a solid layer. In this form the solution can be considered as a series of countable interferences. Several methods of expansion into a geometrical Debye's series are considered: using a matrix sum (one summation); taking into account all double reflections/refractions on both interfaces (three summations); and, finally, analysing the elementary reflection/refraction on each interface separately (seven summations). Energy balance is then considered at the end of the paper.