11 September 2013 Static electric field of a point charge in a two-constituent composite medium: implications for perfect imaging
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Abstract
An exact calculation of the local electric potential field Ψ(r) in the quasi-static limit is described for the case of a point electric charge q in a composite medium where the microstructure is that of parallel flat slabs of ε1 and ε2 constituents. The calculation is based upon an expansion of Ψ(r) in the complete set of eigenstates of the static Maxwell equations for the electric potential in a two or three flat-slabs microstructure. In the case of an ε2, ε1, ε2 three-slabs microstructure where q is in the top ε2 layer and both ε2 layers are infinitely thick, a perfect imaging of the point charge is expected if ε1 = -ε2.1-3 The exact calculation presented here has some novel implications for the perfect imaging phenomenon.
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David J. Bergman, Jacob Ben-Yakar, "Static electric field of a point charge in a two-constituent composite medium: implications for perfect imaging", Proc. SPIE 8809, Plasmonics: Metallic Nanostructures and Their Optical Properties XI, 880923 (11 September 2013); doi: 10.1117/12.2028983; https://doi.org/10.1117/12.2028983
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