Large Surface LC-resonant Metamaterials: from Circuit Model to Modal Theory and Efficient Numerical Methods

Abstract : We study the harmonic magnetodynamic behavior (without wave propagation) of a resonant surface metamaterial, made up of many identical and regularly arranged LC cells. The circuit model gives the exact solution, but is not numerically efficient for the simulation of very large structures (e.g. 1000x1000 cells giving 10^6 unknowns with full 10^6x10^6 matrix). For the first time, we highlight the modal character of the spatial solutions, which makes it possible to explain their frequency and spatial related properties. From these results, we show under what assumptions it is possible to dramatically lighten the system of equations, which opens the way to develop more efficient numerical methods.
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Submitted on : Wednesday, November 6, 2019 - 5:27:09 PM
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Laurent Krähenbühl, Riccardo Scorretti, Arnaud Bréard, Christian Vollaire, Jean Michel Guichon, et al.. Large Surface LC-resonant Metamaterials: from Circuit Model to Modal Theory and Efficient Numerical Methods. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, In press, ⟨10.1109/TMAG.2019.2952541⟩. ⟨hal-02194948⟩

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