Fine-Tuning Acoustic and Optical Waves in Metamaterials

This section refines dispersion curve fitting in micromorphic models by leveraging asymptotes and cut-offs. It reconciles Bloch-Floquet and continuum model limits, ensuring accurate wave propagation analysis. Despite precision challenges at 45° incidence, the model effectively approximates dispersion across frequencies and wave numbers.

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Abstract and 1. Introduction

1.1 A Polyethylene-based metamaterial for acoustic control

2 Relaxed micromorphic modelling of finite-size metamaterials

2.1 Tetragonal Symmetry / Shape of elastic tensors (in Voigt notation)

3 Dispersion curves

4 New considerations on the relaxed micromorphic parameters

4.1 Consistency of the relaxed micromorphic model with respect to a change in the unit cell’s bulk material properties

4.2 Consistency of the relaxed micromorphic model with respect to a change in the unit cell’s size

4.3 Relaxed micromorphic cut-offs

5 Fitting of the relaxed micromorphic parameters: the particular case ...