NOVEL APPLICATIONS OF AN APPROXIMATE PROFILE INVERSION FOR ONE-DIMENSIONAL MEDIUM

In one-dimensional inverse scattering, the approximate formulas to reconstruct the permittivity profiles are very interesting because of their closed forms [1], [2]. Nevertheless, as the result of Born approximation, they are invalid under the strong-scattering conditions which restrict their applications. In this paper, a novel approximation for inverting the permittivity profile of a one-dimensional inhomogeneous medium is derived by using an equivalent microwave networking technique, Compared with the published formulas [1] and [2], the novel approximation is not only more general in the form, but suitable for both weak-scattering and strong-scattering conditions, Reconstruction examples show that when the relative permittivity reaches 80, the novel formula is effective, which show the validity of this scheme.