Accurate modeling of left-handed media using finite-difference time-domain method and finite-size effects of a left-handed medium slab on the image quality revisited

The letter contains an important message regarding the numerical modeling of left-handed media (LHM) using the finite-difference time-domain (FDTD) method which remains at the moment one of the main techniques used in studies of these exotic materials. It is shown that conventional implementation of the dispersive FDTD method leads to inaccurate description of evanescent waves in the LHM. This defect can be corrected using the spatial averaging at the interfaces. However, a number of results obtained using conventional FDTD method has to be reconsidered. For instance, the accurate simulation of sub-wavelength imaging by the finite-sized slabs of left-handed media does not reveal the cavity effect reported in [Phys. Rev. Lett. 92, 107404 (2004)]. Hence the finite transverse dimension of LHM slabs does not have significant effects on the sub-wavelength image quality, in contrary to previous assertions.