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Limits on the amplification of evanescent waves of left-handed materials

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Abstract

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,max limiting the attainable super-resolution. We propose a simple qualitative model to describe the impact of the discretization. k,max is found to depend logarithmically on the mesh constant in qualitative agreement with the TMM simulations.

© 2006 Optical Society of America

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