Equivalent-Circuit Model for Meta-Atoms Consisting of Wired Metallic Spheres

Takashi HISAKADO  Keisuke YOSHIDA  Tohlu MATSUSHIMA  Osami WADA  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E100-C   No.3   pp.305-312
Publication Date: 2017/03/01
Online ISSN: 1745-1353
Type of Manuscript: PAPER
Category: Microwaves, Millimeter-Waves
Keyword: 
metamaterial,  meta-atom,  equivalent circuit,  wired metallic spheres,  PEEC,  

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Summary: 
An equivalent-circuit model is an effective tool for the analysis and design of metamaterials. This paper describes a systematic and theoretical method for the circuit modeling of meta-atoms. We focus on the structures of wired metallic spheres and propose a method for deriving a sophisticated equivalent circuit that has the same topology as the wires using the partial element equivalent circuit (PEEC) method. Our model contains the effect of external electromagnetic coupling: excitation by an external field modeled by voltage sources and radiation modeled by the radiation resistances for each mode. The equivalent-circuit model provides the characteristics of meta-atoms such as the resonant frequencies and the resonant modes induced by the current distribution in the wires by an external excitation. Although the model is obtained by a very coarse discretization, it provides a good agreement with an electromagnetic simulation.