Non-quasi-static eigenstates of Maxwell's equations in a two-constituent composite medium and their application to a calculation of the local electric field of an oscillating dipole

Asaf Farhi, David J. Bergman

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

Abstract

In conventional optics the image is formed only by the propagating waves and the information encoded in the evanescent waves is lost, leading to limited resolution. A negative refractive index slab can amplify evanescent waves and enable the generation of an image by both propagating and non propagating waves, theoretically leading to unlimited resolution. Here we analyze the imaging of an oscillating dipole in a composite structure composed of an ∈1 slab surrounded by an ∈2 medium, where μ = 1 everywhere. For this purpose we calculate all the eigenstates and eigenvalues of the full Maxwell equations for the composite structure and develop an exact expansion for the local electric field E(r) in the system. Then we calculate the intensity and resolution for various permittivity values. We show that only the low order modes contribute to the expansion of the electric field which enables an efficient calculation of the physical quantities.

Original languageEnglish
Title of host publicationPlasmonics
Subtitle of host publicationMetallic Nanostructures and Their Optical Properties XIII
EditorsDin Ping Tsai, Allan D. Boardman
PublisherSPIE
ISBN (Electronic)9781628417135
DOIs
StatePublished - 2015
EventPlasmonics: Metallic Nanostructures and Their Optical Properties XIII - San Diego, United States
Duration: 9 Aug 201513 Aug 2015

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume9547
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferencePlasmonics: Metallic Nanostructures and Their Optical Properties XIII
Country/TerritoryUnited States
CitySan Diego
Period9/08/1513/08/15

Keywords

  • Maxwell's equations
  • eigenstate
  • enhanced resolution
  • slab

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