Perfect lens tomography

The method of subwavelength tomography with the use of the perfect lens (left-handed material slab) is developed. It is based on the solution of the corresponding inverse problem of electromagnetic scattering, where the special method of data acquisition is used to reduce 3D integral equations of the perturbation theory to convolution equations with respect to lateral co-ordinates. Then, the inverse problem is reduced to one-dimensional integral equation relative to the depth profile of the lateral spectrum of permittivity that is solved by Tikhonov´s method of generalized discrepancy for each pair of spectrum components. Finally the desired solution is obtained by the inverse Fourier transform. Possibilities of such tomography are studied in numerical simulation.