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Proceedings Paper

Electromagnetic eigenstates of finite cylinders and cylinder-clusters: application to macroscopic response of meta-materials
Author(s): David J. Bergman
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Paper 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.

Paper Details

Date Published: 26 August 2008
PDF: 9 pages
Proc. SPIE 7032, Plasmonics: Metallic Nanostructures and Their Optical Properties VI, 70321A (26 August 2008); doi: 10.1117/12.797553
Show Author Affiliations
David J. Bergman, Tel Aviv Univ. (Israel)

Published in SPIE Proceedings Vol. 7032:
Plasmonics: Metallic Nanostructures and Their Optical Properties VI
Mark I. Stockman, Editor(s)

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