Analytical Formulas for Calculating Reflections on Finite Multilayer Structures

Simplified equations for calculating the total reflection and transmission from a multilayer infinite and finite dielectric structure are presented. These formulas are based on examining the reflected rays within such a structure and working out an explicit form where possible. The purpose of this paper is to build a simplified simulator for Ground Penetrating Radar. One important limitation of ray-tracing based simulators is the number of reflected rays they can handle. When modeling dense environments with high order reflections, the computational power needed to calculate the resulting rays with a ray tracing program may become excessive.