Three-dimensional dispersive metallic photonic crystals with a bandgap and a high cutoff frequency.
Abstract
The goal of this work is to analyze three-dimensional dispersive metallic photonic
crystals (PCs) and to find a structure that can provide a bandgap and a high cutoff
frequency. The determination of the band structure of a PC with dispersive materials
is an expensive nonlinear eigenvalue problem; in this work we propose a rational-polynomial
method to convert such a nonlinear eigenvalue problem into a linear eigenvalue problem.
The spectral element method is extended to rapidly calculate the band structure of
three-dimensional PCs consisting of realistic dispersive materials modeled by Drude
and Drude-Lorentz models. Exponential convergence is observed in the numerical experiments.
Numerical results show that, at the low frequency limit, metallic materials are similar
to a perfect electric conductor, where the simulation results tend to be the same
as perfect electric conductor PCs. Band structures of the scaffold structure and semi-woodpile
structure metallic PCs are investigated. It is found that band structures of semi-woodpile
PCs have a very high cutoff frequency as well as a bandgap between the lowest two
bands and the higher bands.
Type
Journal articlePermalink
https://hdl.handle.net/10161/4235Collections
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Show full item recordScholars@Duke
Qing Huo Liu
Professor of Electrical and Computer Engineering
Qing H. Liu received the Ph.D. degree in electrical engineering from the University
of Illinois at Urbana-Champaign in 1989. His research interests have been in computational
electromagnetics and acoustics, inverse problems, and their application in geophysics,
nanophotonics, and biomedical imaging. He has published more than 300 refereed journal
papers in these areas. He was a Research Assistant (September 1986 to December 1988)
and then a Postdoctoral Research Associate (January 1989 to Feb
This author no longer has a Scholars@Duke profile, so the information shown here reflects
their Duke status at the time this item was deposited.

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