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Inverse problem of near-field scattering in multilayer media

Konstantin P Gaikovich, Peter K Gaikovich
2010 Inverse Problems  
The inverse problem of scattering is solved for 3D inhomogeneities of the complex permittivity in multilayer media. The proposed solution involves an analysis of the 2D lateral distributions of the scattered field with the imposed condition of the probing field invariability relative to the receiver. A generalization of the solution beyond the Born approximation is given. Necessary k-space representations of Green functions for a multilayer medium with an arbitrary located source are obtained
more » ... urce are obtained analytically in closed forms. Based on this solution, methods of multifrequency and multilevel subwavelength tomography are developed; their feasibility is shown for multifrequency tomography in a three-layered absorbing medium and for multilevel tomography with a perfect lens that can enhance the sounding depth. The developed approach is valid not only in electromagnetic theory, but also in similar problems of quantum mechanics and acoustics.
doi:10.1088/0266-5611/26/12/125013 fatcat:rtxxbvlju5csvbbb5klvsexm5q