We investigate the transfer function of the discretized perfect lens in finite-difference time-domain (FDTD) and transfer matrix method (TMM) simulations; the latter allow to eliminate the problems associated with the explicit time dependence in FDTD simulations. We also find that the finite discretization mesh acts like imaginary deviations from µ=ε=−1 and leads to a crossover in the transfer function from constance to exponential decay around k<sub>∥,max</sub> limiting the attainable super-resolution. We propose a simple qualitative model to describe the impact of the discretization. k<sub>∥,max</sub> is found to depend logarithmically on the mesh constant in qualitative agreement with the TMM simulations.
© 2006 Optical Society of America
Original Manuscript: July 11, 2005
Manuscript Accepted: July 28, 2005
Thomas Koschny, Rabia Moussa, and Costas M. Soukoulis, "Limits on the amplification of evanescent waves of left-handed materials," J. Opt. Soc. Am. B 23, 485-489 (2006)