A numerical method to invert the dielectric permittivity -profile from the Riecati equation using the Newton-Kantorovich iterative soheme has been described. Instead of handling the equations; in terms of usual geometrical depth, we determine the piofile as a function of the electromagnetic path length since the convergence and the stability of the solution are fblind to be significantly better in this case. The approach is applicable to both coiitinuouls and discontinuous profiles of high contrast and exhibits a good stability offthe solution with resect to noisy input data. A lossy niedijita profile can also be inverted provided the overall thickness* of the inhomogeneous slab and, the background permittivity are knc^wn. When the thickness of the inhomogeneous layer and the background permittivity are; assumed to be known, the permittivity profile is; reconstructed accurately whereas for the conductivity profile the method yields qualitative reconstruction.
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