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Micromachines 2012, 3(1), 168-179; doi:10.3390/mi3010168

Effective Permittivity for FDTD Calculation of Plasmonic Materials

*  and
Department of Computer Science, Graduate School of Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
* Author to whom correspondence should be addressed.
Received: 9 February 2012 / Revised: 7 March 2012 / Accepted: 7 March 2012 / Published: 14 March 2012
(This article belongs to the Special Issue Nano-photonic Devices)
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We present a new effective permittivity (EP) model to accurately calculate surface plasmons (SPs) using the finite-difference time-domain (FDTD) method. The computational representation of physical structures with curved interfaces causes inherent errors in FDTD calculations, especially when the numerical grid is coarse. Conventional EP models improve the errors, but they are not effective for SPs because the SP resonance condition determined by the original permittivity is changed by the interpolated EP values. We perform FDTD simulations using the proposed model for an infinitely-long silver cylinder and gold sphere, and the results are compared with Mie theory. Our model gives better accuracy than the conventional staircase and EP models for SPs.
Keywords: effective permittivity; FDTD; surface plasmon; metamaterial effective permittivity; FDTD; surface plasmon; metamaterial
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Okada, N.; Cole, J.B. Effective Permittivity for FDTD Calculation of Plasmonic Materials. Micromachines 2012, 3, 168-179.

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