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Open AccessArticle

Impedance Model of Cylindrical Nanowires for Metamaterial Applications

Department of Electrical Engineering, Mirpur University of Science and Technology (MUST), Mirpur-10250 (AJK), Pakistan
Department of Informatics (I-13), Bolzmanstr. 3, Technical University Munich, 85748 Garching, Germany
School of Systems and Enterprises, Stevens Institute of Technology, Hoboken, NJ 07030, USA
Author to whom correspondence should be addressed.
Nanomaterials 2019, 9(8), 1104;
Received: 30 June 2019 / Revised: 22 July 2019 / Accepted: 30 July 2019 / Published: 1 August 2019
(This article belongs to the Special Issue Plasmonic Nanostructures and Related Applications)
PDF [650 KB, uploaded 13 August 2019]


In metamaterials, metallic nanowires are used for creating artificial materials to functionalize them for various nanophotonics applications. Strong polarization-dependent response coupled with complex dielectric function at optical frequencies gives additional degrees of freedom to achieve scattering, absorption, and other benefits that go much beyond what is possible with conventional materials. In this paper, we propose an extended cylindrical wave impedance approach at optical frequencies to model the internal and external impedance of the metallic nanowire. Equivalent analytical expression for the scattering, extinction, and absorption cross-sectional area efficiencies are derived in terms of impedances. The motivation is to develop an all-mode solution ( TM n and TE n modes), by bringing the complex problem of plasmonic nanowire to linear system theory, where established methods can be applied to enable new applications. The equivalence of the impedance solution is compared with electromagnetic field solution and numerical full-wave field simulations. The proposed solution is accurate and may contribute to the rapid and efficient future designs for the metallic nanowire-based nanophotonic metamaterials. View Full-Text
Keywords: nanophotonics; metamaterial; nanowire; Mie solution; impedance; plasmonics; nanocylinder; nanomaterial nanophotonics; metamaterial; nanowire; Mie solution; impedance; plasmonics; nanocylinder; nanomaterial

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Alam, M.; Mahmood, A.; Azam, S.; Butt, M.S.; Haq, A.U.; Massoud, Y. Impedance Model of Cylindrical Nanowires for Metamaterial Applications. Nanomaterials 2019, 9, 1104.

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