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

David J. Bergman

doi:10.1117/12.797553

26 August 2008 Electromagnetic eigenstates of finite cylinders and cylinder-clusters: application to macroscopic response of meta-materials

David J. Bergman

Author Affiliations +

Proceedings Volume 7032, Plasmonics: Metallic Nanostructures and Their Optical Properties VI; 70321A (2008) https://doi.org/10.1117/12.797553
Event: NanoScience + Engineering, 2008, San Diego, California, United States

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.

Citation Download Citation

David J. Bergman "Electromagnetic eigenstates of finite cylinders and cylinder-clusters: application to macroscopic response of meta-materials", Proc. SPIE 7032, Plasmonics: Metallic Nanostructures and Their Optical Properties VI, 70321A (26 August 2008); https://doi.org/10.1117/12.797553

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