Application of equivalent medium parameters in finite element models of microwave metamaterials
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Simulated or experimentally measured reflection and transmission are used to obtain effective permittivity (e), permeability (l), and conductivity (r) for a planar microwave metamaterial. These parameters are then used in a finite element model of macro-scale metamaterial objects, where the metamaterial is taken to be a homogeneous layer with frequency-dependent e, l, and r. We demonstrate good agreement between reflection and absorption of metamaterial structure and those obtained from modeling homogenized, macro-scale metamaterials. We further demonstrate use of the method for geometrically scaled, oddly shaped macroscopic objects. This method significantly reduces computation requirements and enables modeling of metamaterial-made, large area objects without modeling their actual intricate metamaterial structure.
The article of record as published may be found at https://doi.org/10.1063/1.5008279
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