Modification of the Newton-Kantorovich Iteration Procedure for Piecewise-Constant Real Permittivity Profile Reconstruction
S.G. Alexin, O.O. Drobakhin, and V.O. Tkachenko
Dnepropetrovsk National University
13 Nauchny pereulok, 49050, Dnepropetrovsk, Ukraine
Abstract
The general Newton-Kantorovich method and its new modification for piecewise-constant real permittivity profile reconstruction on the basis of multifrequency reflectometry data are described. The method of spectral analysis based on the chain-fraction approximation is proposed to be used as stage of the modified Newton-Kantorovich method and is also described. Some results of numerical simulation are presented.
References
- Mikhnev, V.A., and Vainikainen, P., (2000), Two-Step Inverse Scattering Method for One-Dimensional Permittivity Profiles, IEEE Trans. Antennas and Propagation, 48:293-298.
- Mikhnev, V., and Vainikainen, P., (2000), Iterative Step-Like Reconstruction of Stratified Dielectric Media from Multifrequency Reflected-Field Data, Subsurface Sensing Technologies and Applications, 1:65-78.
- Mikhnev, V.A., (2002), Reconstructive microwave tomography of multilayered dielectric media, Svetoch, Minsk, (in Russian).
- Drobakhin, O.O., and Korotkaya, V.G., (1987), Application of Prony’s method to measuring of thickness of layered dielectrics, Soviet Non Destructive Testing, 5:19-30 (in Russian).
- Yingbo, Hua, and Tapan, K. Sarkar, (1990), Matrix Pencil Method for Estimating Parameters of Exponentially Damped/Undamped Sinusoids in Noise, IEEE Transactions on Acoustics, Speech, and Signal Processing, 38:814-824.
- Andreev, M.V., Borulko, V.F., and Drobakhin, O.O., (1995), One-Dimensional Inverse Problem Solution for Multilayered Dielectric Structures Using Least Square Spectral Estimation Method, Proc. 15th URSI International Symposium on Electromagnetic Theory, pp. 148-150.
- Andreev, M.V., Borulko, V.F., Drobakhin, O.O., and Saltykov, D.Yu., (2004), Rational Representation in Spectrum Conjugate Domain for Parameters Determination of Reflecting Structures, Proc. MMET*04, paper 16-1-1, pp. 449-451.
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