Solving guided wave modes in plasmonic crystals by interfacial operator and coupling interface approach

Yu-Chen Shu, Chien C. Chang, I. Liang Chern, Ying Hong Liu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

It has been difficult to solve eigenmodes of plasmonic crystals in two or three dimensions either analytically or numerically. In this study, we present an interfacial opera- tor approach for solving guided wave modes of plasmonic crystals. They are formulated as an eigenvalue problem of the wavenumber along the axis of the crystal. In this formulation, the permittivity and permeability of the metallic component can be arbitrary functions of frequency. Moreover, a coupling interface method is introduced to facilitate accurate treatment of the in- terface conditions with an arbitrary shape between the metal and host materials. Numerical results are illustrated for different shapes of plasmonic crystals, layered, cylindrical and split-ring structures. The physical significance is discussed. Finally, it is demonstrated that the present method can resolve fine eigenmodes of the split-ring structure.

Original languageEnglish
Title of host publicationProgress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing
PublisherElectromagnetics Academy
Pages1625-1629
Number of pages5
ISBN (Print)9781618390554
Publication statusPublished - 2009 Jan 1
EventProgress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing - Beijing, China
Duration: 2009 Mar 232009 Mar 27

Publication series

NameProgress in Electromagnetics Research Symposium
Volume2
ISSN (Print)1559-9450

Other

OtherProgress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing
CountryChina
CityBeijing
Period09-03-2309-03-27

Fingerprint

Guided electromagnetic wave propagation
Crystals
Permittivity
Metals

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Cite this

Shu, Y-C., Chang, C. C., Chern, I. L., & Liu, Y. H. (2009). Solving guided wave modes in plasmonic crystals by interfacial operator and coupling interface approach. In Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing (pp. 1625-1629). (Progress in Electromagnetics Research Symposium; Vol. 2). Electromagnetics Academy.
Shu, Yu-Chen ; Chang, Chien C. ; Chern, I. Liang ; Liu, Ying Hong. / Solving guided wave modes in plasmonic crystals by interfacial operator and coupling interface approach. Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing. Electromagnetics Academy, 2009. pp. 1625-1629 (Progress in Electromagnetics Research Symposium).
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Shu, Y-C, Chang, CC, Chern, IL & Liu, YH 2009, Solving guided wave modes in plasmonic crystals by interfacial operator and coupling interface approach. in Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing. Progress in Electromagnetics Research Symposium, vol. 2, Electromagnetics Academy, pp. 1625-1629, Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing, Beijing, China, 09-03-23.

Solving guided wave modes in plasmonic crystals by interfacial operator and coupling interface approach. / Shu, Yu-Chen; Chang, Chien C.; Chern, I. Liang; Liu, Ying Hong.

Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing. Electromagnetics Academy, 2009. p. 1625-1629 (Progress in Electromagnetics Research Symposium; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - It has been difficult to solve eigenmodes of plasmonic crystals in two or three dimensions either analytically or numerically. In this study, we present an interfacial opera- tor approach for solving guided wave modes of plasmonic crystals. They are formulated as an eigenvalue problem of the wavenumber along the axis of the crystal. In this formulation, the permittivity and permeability of the metallic component can be arbitrary functions of frequency. Moreover, a coupling interface method is introduced to facilitate accurate treatment of the in- terface conditions with an arbitrary shape between the metal and host materials. Numerical results are illustrated for different shapes of plasmonic crystals, layered, cylindrical and split-ring structures. The physical significance is discussed. Finally, it is demonstrated that the present method can resolve fine eigenmodes of the split-ring structure.

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Shu Y-C, Chang CC, Chern IL, Liu YH. Solving guided wave modes in plasmonic crystals by interfacial operator and coupling interface approach. In Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing. Electromagnetics Academy. 2009. p. 1625-1629. (Progress in Electromagnetics Research Symposium).