General eigenstates of Maxwell's equations in a two-constituent composite medium and their application to a calculation of the local electric field in a flat-slab microstructure

Asaf Farhi, David J. Bergman

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

Abstract

An exact calculation of the local electric field E(r) is described for the case of an external current or plane wave source in a setup of an E1, μ1 slab in an E2, μ2 medium. For this purpose we first calculate all the general eigenstates of the full Maxwell equations. These eigenstates are then used to develop an exact expansion for the physical values of E(r) in the system characterized by physical values of E1, E2, μ1, and μ2. Results are compared with those of a previous calculation of the local field where μ = 1 everywhere. Numerical results are shown for the eigenvalues in practically important configurations where attaining an optical image with sub-wavelength resolution has practical significance. We show that the k ≫ k2 components are enhanced for the TM field when E1/E2 = â'1 and for the TE field when μ12 = â'1 where the enhancement of the evanescent waves starts from lower k values as we approach a setup with both E1/E2 = â'1 and μ12 =-1. We also show that the eigenfunctions for the setup where μ = 1 everywhere correspond to configurations of 3D phased arrays.

Original languageEnglish
Title of host publicationPlasmonics
Subtitle of host publicationDesign, Materials, Fabrication, Characterization, and Applications XIV
EditorsSatoshi Kawata, Din Ping Tsai
PublisherSPIE
ISBN (Electronic)9781510602335
DOIs
StatePublished - 2016
Event2016 SPIE Optics + Photonics Conference on Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XIV - San Diego, United States
Duration: 28 Aug 20161 Sep 2016

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume9921
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference2016 SPIE Optics + Photonics Conference on Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XIV
Country/TerritoryUnited States
CitySan Diego
Period28/08/161/09/16

Keywords

  • At slab
  • Eigenfunction
  • Enhanced resolution
  • Expansion of the electric field
  • Negative refractive index
  • Phased array

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