Analytical models for predicting the effective permittivity of complementary metamaterial structures

Mohammed M. Bait-Suwailam; Leila Yousefi; Babak Alavikia; Omar M. Ramahi

doi:10.1002/mop.27655

Analytical models for predicting the effective permittivity of complementary metamaterial structures

Mohammed M. Bait-Suwailam, Leila Yousefi, Babak Alavikia^*, Omar M. Ramahi

^*Corresponding author for this work

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We present an analytical formula to calculate the resultant effective permittivity of a metamaterial medium composed of unit cells with complementary structures. Complementary metamaterial can be considered to be the complementary screen of artificial magnetic materials. Based on Babinet's principle and duality, complementary metamaterial provides a negative effective permittivity in the vicinity of its resonance frequency. The developed formula is general and predicts the effective permittivity for a specific topology. The derived model validated by comparison to results obtained using full-wave simulation.

Original language	English
Pages (from-to)	1565-1569
Number of pages	5
Journal	Microwave and Optical Technology Letters
Volume	55
Issue number	7
DOIs	https://doi.org/10.1002/mop.27655
Publication status	Published - Jul 2013

Keywords

circuit model
complementary split-ring resonator
metamaterials
negative refractive index

ASJC Scopus subject areas

Condensed Matter Physics
Atomic and Molecular Physics, and Optics
Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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abstract = "We present an analytical formula to calculate the resultant effective permittivity of a metamaterial medium composed of unit cells with complementary structures. Complementary metamaterial can be considered to be the complementary screen of artificial magnetic materials. Based on Babinet's principle and duality, complementary metamaterial provides a negative effective permittivity in the vicinity of its resonance frequency. The developed formula is general and predicts the effective permittivity for a specific topology. The derived model validated by comparison to results obtained using full-wave simulation.",

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AU - Bait-Suwailam, Mohammed M.

AU - Yousefi, Leila

AU - Alavikia, Babak

AU - Ramahi, Omar M.

PY - 2013/7

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N2 - We present an analytical formula to calculate the resultant effective permittivity of a metamaterial medium composed of unit cells with complementary structures. Complementary metamaterial can be considered to be the complementary screen of artificial magnetic materials. Based on Babinet's principle and duality, complementary metamaterial provides a negative effective permittivity in the vicinity of its resonance frequency. The developed formula is general and predicts the effective permittivity for a specific topology. The derived model validated by comparison to results obtained using full-wave simulation.

AB - We present an analytical formula to calculate the resultant effective permittivity of a metamaterial medium composed of unit cells with complementary structures. Complementary metamaterial can be considered to be the complementary screen of artificial magnetic materials. Based on Babinet's principle and duality, complementary metamaterial provides a negative effective permittivity in the vicinity of its resonance frequency. The developed formula is general and predicts the effective permittivity for a specific topology. The derived model validated by comparison to results obtained using full-wave simulation.

KW - circuit model

KW - complementary split-ring resonator

KW - metamaterials

KW - negative refractive index

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