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An inverse scattering problem of determining the electrical property of an unknown dielectric object is considered. The electromagnetic wave generated by an impressed electric current with a short duration time illuminates the dielectric object. The measured data of the total field, the sum of the incident and scattered fields, over an observation surface S is used to reconstruct the electrical property...
Time reversal imaging methods have received considerable attention since they yield accurate location estimate of point scatterers. Up to now, most time reversal methods have focused on detection and localization of point-like or small targets [1, 2] and not dealt with estimation of electrical parameter profile of scatterers. We have proposed a gradient based time-reversal imaging technique which...
Forward-Backward Time-Stepping Method (FBTS method) is a technique to solve time domain inverse scattering problem. An incident pulse is radiated to unknown object. The scattering wave is measured at M points. A similar measurement is carried out at N different incident points. Total number of measured data is M × N. In FBTS method, the estimated field is calculated by FDTD method. The number of calculation...
The retrieval of the dielectric characteristics of 2-D objects buried in a lossy half-space from Ground Penetrating Radar (GPR) measurements is dealt with. The proposed imaging algorithm is able to effectively mitigate the effects of both non-linearity and ill-posedness of the inversion problem through a multi-scaling deterministic approach based on a Conjugate Gradient minimization (IMSA-CG), while...
A time-reversal approach to reconstructing the electrical parameters of an inhomogeneous object from measured total field data is considered. It is shown that the approach does not require the information of the incident field in the region of interest enclosing the object when the primary source is placed outside of the region. Numerical simulations are performed to validate the effectiveness of...
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