Static electric field of a point charge in a two-constituent composite medium: implications for perfect imaging

David J. Bergman; Jacob Ben-Yakar

doi:10.1117/12.2028983

11 September 2013 Static electric field of a point charge in a two-constituent composite medium: implications for perfect imaging

David J. Bergman, Jacob Ben-Yakar

Author Affiliations +

Proceedings Volume 8809, Plasmonics: Metallic Nanostructures and Their Optical Properties XI; 880923 (2013) https://doi.org/10.1117/12.2028983
Event: SPIE NanoScience + Engineering, 2013, San Diego, California, United States

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.

Citation Download Citation

David J. Bergman and 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); https://doi.org/10.1117/12.2028983

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