Electromagnetic scattering from a dielectric cylinder beneath a slightly rough surface

Over the past few decades, a significant amount of research effort has been spent toward developing a viable buried object detection scheme. There are many difficulties associated with detecting objects beneath the ground due to the existence of clutter and low RF signal penetration into moist soil. In order to better understand the phenomenology of scattering from buried objects, this paper presents an analytical solution to a canonical scattering problem involving a buried dielectric circular cylinder below a slightly rough surface with arbitrary one-dimensional surface profile. The solution is obtained by employing the spectral representation of the fields and adding successive reflections from the rough half-space boundary and scattered fields from the cylinder. First order reflection and transmission coefficients from the small perturbation method (SPM) are used for the rough surface scattering.