Universal Features of the Time Evolution of Evanescent Modes in a Left-Handed Perfect Lens

Details Universal Features of the Time Evolution of Evanescent Modes in a Left-Handed Perfect Lens Universal Features of the Time Evolution of Evanescent Modes in a Left-Handed Perfect Lens

2002-10-12

arxiv.org/abs/cond-mat/0210283v2

Phys. Rev. Lett. 90, 077401 (2003)

Physics

Condensed Matter

4 pages, 3 figures, title slightly changed, reference added, minor corrections

Scientific paper

10.1103/PhysRevLett.90.077401

The time evolution of evanescent modes in Pendry's perfect lens proposal for ideally lossless and homogeneous, left-handed materials is analyzed. We show that time development of sub-wavelength resolution exhibits universal features, independent of model details. This is due to the unavoidable near-degeneracy of surface electromagnetic modes in the deep sub-wavelength region. By means of a mechanical analog, it is shown that an intrinsic time scale (missed in stationary studies) has to be associated with any desired lateral resolution. A time-dependent cut-off length emerges, removing the problem of divergences claimed to invalidate Pendry's proposal.

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