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

David J. Bergman, Jacob Ben-Yakar

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An exact calculation of the local electric potential 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 at 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 at-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.

Original languageEnglish
Title of host publicationPlasmonics
Subtitle of host publicationMetallic Nanostructures and Their Optical Properties XI
PublisherSPIE
ISBN (Print)9780819496591
DOIs
StatePublished - 2013
EventPlasmonics: Metallic Nanostructures and Their Optical Properties XI - San Diego, CA, United States
Duration: 25 Aug 201329 Aug 2013

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume8809
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferencePlasmonics: Metallic Nanostructures and Their Optical Properties XI
Country/TerritoryUnited States
CitySan Diego, CA
Period25/08/1329/08/13

Keywords

  • Eigenstate
  • composite medium
  • left handed material
  • meta-material
  • negative electeric permittivity
  • perfect imaging
  • plasmonics
  • resonance

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