IMAGING OF UNKNOWN TARGETS INSIDE INHOMOGENEOUS BACKGROUNDS BY MEANS OF QUALITATIVE INVERSE SCATTERING

In this paper a new formulation of the Linear Sampling Method, called the no-Sampling Linear Sampling Method, is applied to the imaging and detection of unknown scatterers located inside an inhomogeneous background. Namely, by following a previous work by Colton and Monk, a modified far-field equation is used, which allows one to use line current sources and near-field measurements. The Green's function of the inhomogeneous background is numerically computed and used as the right hand side of the modified far-field equation. The proposed method is then applied to two different scenarios: the detection of breast tumors and the imaging of cracks inside a dielectric slab. A numerical analysis of the method capabilities is performed when the model parameters are not exactly known.