Large surface LC-resonant metamaterials: from circuit model to modal theory and efficient numerical methods

Laurent Krähenbühl (1, 2) , Riccardo Scorretti (3, 2) , Arnaud Bréard (1, 2) , Christian Vollaire (1, 2) , Jean-Michel Guichon (4, 2, 5) , Olivier Chadebec (4, 2, 5) , Gérard Meunier (4, 2, 5) , A Urdaneta-Calzadilla (4, 5) , Viviane Cristine Silva (6, 2) , Carlos Antonio França Sartori (6, 2)

1 MIS - Ampère, Département Méthodes pour l'Ingénierie des Systèmes
2 LIA817 - LIA franco brésilien James Clerk Maxwell (CNRS-CNPq)
3 BioIng - Ampère, Département Bioingénierie
4 G2ELab - Laboratoire de Génie Electrique de Grenoble
5 G2Elab-MAGE - G2Elab-Modèles, Méthodes et Méthodologies Appliqués au Génie Electrique
6 Escola Politecnica da Universidade de Sao Paulo [Sao Paulo]

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. 1000×1000 cells). For the first time, we highlight the modal character of the 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 homogenize the metamaterial, which opens the way for using this approach together with efficient numerical methods.

Mots clés: LC metamaterials; integral equations; matrix reduction; circuit analysis; resonance; homogenization; modal analysis

Domaines: Energie électrique

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. Compumag 2019, Jul 2019, Paris, France. ⟨hal-01985864⟩