TY - JOUR

T1 - Perfect imaging of a point charge in the quasistatic regime

AU - Bergman, David J.

PY - 2014/1/21

Y1 - 2014/1/21

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84894487875&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.89.015801

DO - 10.1103/PhysRevA.89.015801

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AN - SCOPUS:84894487875

SN - 2469-9926

VL - 89

JO - Physical Review A

JF - Physical Review A

IS - 1

M1 - 015801

ER -