Reflection of electromagnetic waves from a stratified inhomogeneity

This paper deals with the partial reflection of electromagnetic waves from a stratified inhomogeneity. When the refractive index profile is an analytic function and the wave number is large, the reflection coefficient is calculated by the use of the Volterra integral equation and the relation between the WKB approximation and the internal reflection is examined. The reflection coefficient in this ease is calculated also by the WKB method using the connection formula around the turning point which lies in the complex plane. When the index profile is discontinuous, the reflection coefficients are calculated for simple models. The reflection coefficients of the above two cases are compared. The reflected field from randomly distributed multi-layers is discussed using the above results.