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Phys. Rev. B 78, 035133 (2008) [9 pages]

Solving guided wave modes in plasmonic crystals

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Chien C. Chang1,2,3,*, Yu-Chen Shu1,3, and I-Liang Chern3,4
1Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan, Republic of China
2Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, Republic of China
3Taida Institute of Mathematical Sciences, National Taiwan University, Taipei 106, Taiwan, Republic of China
4Department of Mathematics, National Taiwan University, Taipei 106, Taiwan, Republic of China

Received 1 May 2008; published 30 July 2008

In this study, we present an interfacial operator approach for solving guided wave modes of plasmonic crystals. They are formulated as an eigenvalue problem of the wave number 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 interface conditions with an arbitrary shape between the metal and host materials. Numerical results are illustrated for different shapes of plasmonic crystals, and physical significance is discussed.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.78.035133
DOI:
10.1103/PhysRevB.78.035133
PACS:
73.20.Mf, 02.70.−c, 78.20.Bh

*mechang@gate.sinica.edu.tw