Generalization of PILE Method to the EM Scattering From Stratified Subsurface With Rough Interlayers: Application to the Detection of Debondings Within Pavement Structure

This paper presents the numerical method, generalized propagation-inside-layer expansion (GPILE), to calculate the scattered electromagnetic field by any stratified 1-D medium composed of three random rough interfaces separating homogeneous media. GPILE is a generalization of the propagation-inside-layer expansion method, which considers only two interfaces. Both methods rely on the rigorous implementation of the Maxwell equations, with a simple matrix formulation and which have a straightforward physical interpretation. In particular, this method allows us to distinguish the primary echo of the upper surface and also the multiple echoes arising from the intermediate and lower interfaces. This method is applied in this paper to simulate the ground-penetrating radar (GPR) signal at nadir. The simulated signals are analyzed to study the sensitivity of the GPR signal to any material debonding within the pavement layered structure.