Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects

We investigate two imaging methods to detect buried scatterers from electromagnetic measurements at a fixed frequency. The first one is the classical linear sampling method that requires the computation of Green's tensor for the background medium. This job can be numerically very costly for complex background geometries. The second one is an alternative approach based on the reciprocity gap functional that avoids the computation of Green's tensor but requires knowledge of both the electric and magnetic fields. Numerical examples are given showing the performance of both methods.