Near-field introscopy of 2D nonhomogeneous left-handed material slab

Abstract

An approach is proposed of near field introscopy of a left-handed material (LHM) layer, i.e. Veselago's lens, without using any waveguides: the near field image of an inhomogeneity in a tested homogeneous LHM layer appears on the wave receiver placed near a wave source provided that this layer is illuminated by source in a way that inside Veselago's lens focus appears near inhomogeneity considered. We extend the traditional potential wave multiple scattering theory to analytical study an inhomogeneous and absorbing LHM slab focusing properties by the Green function method. A specific multiplicative quasistatic singularity of the Green function is revealed provided a weak and thin linelike inhomogeneity is placed near focus inside perfect LHM slab. This sort of singularity is directly linked with concept about spatial transformation media. Modelling the linelike scatterer by non-local separable scattering potential reveals a resonance property of the scattering amplitude related to singular behaviour of the Green function for waves propagated inside perfect LHM slab. These resonance properties were previously lost in the Born's approximation.