Abstract
ABSTRACTPossibilities of the coherent scanning tomography with negative-index metamaterial lens are studied. Such lens (a slab of negative refractive index material) has the power to focus the source field into a sounded media with dielectric inhomogeneities. The proposed solution of the corresponding inverse scattering problem, i.e. the retrieval of 3D distributions of the complex permittivity in the inhomogeneous region, is based on the 3D integral equation for the scattered field that is reduced to the one-dimensional Fredholm integral equation of the 1-st kind relative to the depth profile of lateral spectrum of inhomogeneities. After the solution of this equation for each pair of spectral components, the inverse Fourier transform leads to the desired solution. For solid targets, it appeared possible to retrieve the shape of their surface with the computing holography algorithm. This approach can be very suitable for diagnostics of media with a plane or flexible surface, in particular, in the biomedical diagnostics. The feasibility of this tomography for low-contrast targets is demonstrated in numerical simulation.
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