研究目的
To develop an equivalent-circuit model for metamaterials composed of wired metallic spheres that incorporates electromagnetic coupling with retardation, and to analyze the relationship between retardation and radiation loss, as well as the effects of retarded coupling between meta-atoms.
研究成果
The proposed equivalent-circuit model with retardation successfully represents radiation loss through complex inductance and potential coefficients. It demonstrates that retarded electromagnetic coupling significantly affects the natural angular frequencies and losses in meta-atoms, with cross points in frequency dependencies that are confirmed by electromagnetic simulations. This provides a consistent near-field model without relying on far-field radiation resistance.
研究不足
The model assumes parameters satisfy a << b << D << λ, which may not hold for all practical cases. Errors in resonant frequencies and quality factors arise from this assumption, and the model's accuracy is limited by the approximations made in spatial discretization.
1:Experimental Design and Method Selection:
The study uses a theoretical approach based on Maxwell's equations to derive a lumped-parameter equivalent circuit model with retardation for wired metallic spheres. The model is applied to analyze simple meta-atoms and coupled systems.
2:Sample Selection and Data Sources:
The analysis focuses on I-shaped meta-atoms and coupled meta-atoms with specific parameters (e.g., wire radius a, sphere radius b, distance D, and wavelength λ).
3:List of Experimental Equipment and Materials:
No physical experiments were conducted; the work is theoretical and computational, using software for electromagnetic simulations.
4:Experimental Procedures and Operational Workflow:
The equivalent-circuit equations are derived and solved in the frequency domain. Comparisons are made with electromagnetic simulations using software tools.
5:Data Analysis Methods:
Taylor expansion is used to evaluate components of the impedance. Results are compared with electromagnetic simulation outputs to validate the model.
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