  The resolution of conventional optical lenses is limited by the wavelength.
Materials with negative refractive index have been shown to enable the
generation of an enhanced resolution image where both propagating and
non-propagating waves are employed. We analyze such a Veselago lens by
exploiting some exact one dimensional integral expressions for the quasi-static
electric potential of a point charge in that system. Those were recently
obtained by expanding that potential in the quasi-static eigenfunctions of a
three-flat-slabs composite structure. Numerical evaluations of those integrals,
using realistic values for physical parameters like the electric permittivities
of the constituent slabs and their thickness, reveal some surprising effects:
E.g., the maximum concentration of the electric field occurs not at the
geometric optics foci but at the interfaces between the negative permittivity
slab and the positive permittivity slabs. The analysis provides simple
computational guides for designing such structures in order to achieve enhanced
resolution of an optical image.
