Abstract
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 ( and 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.
Highlights
In the past decade, there has been growing interest in the rapidly evolving field of metamaterial and its exciting applications [1,2,3,4,5]
The gain factor anTE is defined as the fraction increase in voltage due to presence of the metallic cylindrical nanowire with material properties k1, the value of anTE can be written as anTE
We will use gold cylindrical nanowire with permittivity represented by modified Drude dielectric function [30]
Summary
There has been growing interest in the rapidly evolving field of metamaterial and its exciting applications [1,2,3,4,5]. Equivalent analytical expression for the scattering (Qsca) and extinction (Qext) cross-sectional area efficiencies of the nanowire (basic unit cell in metamaterial) is derived in terms of impedances. The surface plasmon resonance phenomena of extinction, scattering, and absorption cross-sectional areas shown in Figure 2 can be explained with the help of electrical circuit analysis. In circuit theory, it is the exchange of energy from inductor to capacitor within a circuit, which simplifies the complex behavior of plasmon resonance. The derived values will be used in subsequent sections to support our proposed impedance model
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