Exact analytic solution of the problem of reflection of an electromagnetic wave from a two-layer periodic dielectric structure

Reflection and transmission of a plane electromagnetic wave by a two-layer periodic dielectric structure with an arbitrary number of periods is investigated. A successfully selected method of obtaining the solution for an electromagnetic field inside the structure makes it possible to find the normal-incidence reflection and transmission coefficients in an exact and physically intelligible form. A systematic and detailed investigation is reported of the dependence of the reflection coefficient on the structure parameters.