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Transparency robust to disorder in a periodic array of Helmholtz resonators

In this paper, the influence of disorder on 1D periodic lattice of resonant scatterers is inspected. These later have multiple resonance frequencies which produce bandgap in the transmission spectrum. One peculiarity of the presented system is that it is chosen with a nearly perfect overlap between the Bragg and the second hybridization bandgaps. In the case of a perfect ordered lattice, and around this overlap, this produces a narrow transparency band within a large second bandgap. As expected, the effect of the disorder is generally to increase the width of the bandgaps. Nevertheless, the transparency band appears to be robust with respect to an increase of the disorder. In this paper, we study this effect by means of experimental investigations and numerical simulations.