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Advances in Materials Science and Engineering
Volume 2017, Article ID 5038950, 13 pages
Research Article

A Design of Functional Layer with Robust Constitutive Parameters for Multilayer Metamaterials

Zhijie Gong,1,2 Chao Wu,1,2,3 Quan Li,1,2 Zeyong Wei,1,2,3 and Hongqiang Li1,2,3

1School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
2Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, Tongji University, Shanghai 200092, China
3The Institute of Dongguan-Tongji University, Dongguan, Guangdong 523808, China

Correspondence should be addressed to Chao Wu; nc.ude.ijgnot@uwoahc

Received 28 April 2017; Revised 13 August 2017; Accepted 20 August 2017; Published 25 September 2017

Academic Editor: Pavel Lejcek

Copyright © 2017 Zhijie Gong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We propose a functional layer design with robust effective parameters for multilayer metamaterial. The functional layer is consisting of two identical dielectric material layers and one layer of metallic structures sandwiched in between. The symmetric design ensures that, following standard retrieval technique, effective parameters retrieved for a single functional layer in vacuum can be used to characterize its electromagnetic contribution when stacked in a multilayer system. When applied to the fishnet structures, effective parameters of the symmetric functional layer system show great robustness against the varying of the number of layers. The symmetric functional layer design is also investigated on multilayer metamaterials consisting of several layers of different kinds of metallic structures. Transmission and reflection spectra are obtained for real structures and their effective models by finite-differential-time-domain simulation and transfer matrix method calculation, respectively. It turns out that the effective model shows great equivalency to the real structures, and the effective parameters of symmetric functional layer design are robust at both normal and oblique incident cases. Our work provides a practical approach to design and characterize multilayer metamaterials with the well-known effective parameters retrieval technique.