An improved numerical optimization approach based on the Newton-Kantorovich iterative scheme to obtain the one dimensional dielectric image of the multi-layered media in terms of the measured spectral domain reflection data is presented. The improvement in the iterative scheme is achieved by computing the initial permittivity profile using an independent analytical approach. The analytical approach provides a very good initial guess of the unknown permittivity profile in terms of the a priori information, which significantly improves the convergence and stability of the achieved solution. The proposed scheme for solving the one-dimensional inverse scattering problem is successfully implemented, and validated with the help of independent simulated and experimental data.
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