The Use of Thin Layer Conditions for the Reconstruction of Objects Buried in a Layered Medium

Higher order thin layer conditions for three layered media are derived and applied for the imaging of objects located in such a medium. These boundary conditions connects the field values at the boundaries of the middle layer, which allows one to obtain the field values at the lower boundary from the measured on the upper boundary. Then Reciprocity Gap-Linear Sampling Method (RG-LSM) is applied to image buried objects. Numerical simulations show that thin layer conditions gives quite satisfactory results.