Abstract
An exact calculation of the local electric potential field ψ(r) in the quasistatic limit is described for the case of a point electric charge q in a two-constituent composite medium. In the case of an ε2, ε1, ε2 three-parallel-slab microstructure, where q is in the top ε2 layer and both ε2 layers are infinitely thick while the ε1 layer has a finite thickness L1, a perfect imaging of the point charge is expected if ε1=-ε2 is real [J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000)PRLTAO0031-900710.1103/PhysRevLett.85.3966; R. J. Blaikie and D. O. S. Melville, J. Opt. A 7, S176 (2005)JOAOF81464-425810.1088/1464-4258/7/2/023; U. Leonhardt, New J. Phys. 11, 093040 (2009)NJOPFM1367-263010.1088/1367-2630/11/9/ 093040]. Among our results we find that an infinite resolution image of the point charge q is only achievable if the actual charge is situated at a distance that is between L1/2 and L1 away from the ε1 layer.
| Original language | English |
|---|---|
| Article number | 015801 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 89 |
| Issue number | 1 |
| DOIs | |
| State | Published - 21 Jan 2014 |
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