Electromagnetic eigenstates of finite cylinders and cylinder-clusters: Application to macroscopic response of meta-materials

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

Abstract

Closed form, approximate expressions are found for the electromagnetic eigenstates of an isolated, finite-length, circular cylinder, of radius a and length L, for the case where ka ≪ 1 but kL is greater than 1 (k is the wavenumber in the surrounding medium). These eigenstates are standing waves of surface plasmons which propagate along the cylinder axis and are reflected, back and forth, between the cylinder ends. When considering a cluster of such cylinders, the combined set of these non-quasistatic eigenstates, arising from each of the cylinders in isolation, form a set of vector fields that is complete in the quasistatic limit. This basis can be used as a starting point for evaluating the electromagnetic eigenstates of the entire cluster or even of a periodic array of such cylinders when one is close to the static regime. These states are used to develop a systematic calculation of the macroscopic electromagnetic response of a collection of such cylinders. Some mistakes made in a previous version of this theory1 are corrected.

Original languageEnglish
Title of host publicationPlasmonics
Subtitle of host publicationMetallic Nanostructures and Their Optical Properties VI
DOIs
StatePublished - 2008
EventPlasmonics: Metallic Nanostructures and Their Optical Properties VI - San Diego, CA, United States
Duration: 10 Aug 200814 Aug 2008

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume7032
ISSN (Print)0277-786X

Conference

ConferencePlasmonics: Metallic Nanostructures and Their Optical Properties VI
Country/TerritoryUnited States
CitySan Diego, CA
Period10/08/0814/08/08

Keywords

  • Composite medium
  • Eigenstate
  • Meta-material
  • Plasmonics
  • Resonance

Fingerprint

Dive into the research topics of 'Electromagnetic eigenstates of finite cylinders and cylinder-clusters: Application to macroscopic response of meta-materials'. Together they form a unique fingerprint.

Cite this