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\textsf{\bfseries \Large   A soft 3D acoustic metafluid 
with dual-band negative refractive index}\\[5mm]
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\underline{S. Raffy$^{\sst 1}$, B. Mascaro$^{\sst 2}$, Th. Brunet$^{\sst 2}$, O. Mondain-Monval$^{\sst 3}$, J. Leng$^{\sst 1}$}\\[5mm]%auteurs
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\item[$^{\sst 1}\!\!$]\emph{Laboratoire du Futur, UMR 5258, Pessac, France}
\item[$^{\sst 3}\!\!$]\emph{Centre de Recherche Paul-Pascal, UPR 8641, Pessac, France}
\item[$^{\sst 2}\!\!$]\emph{Institut d'ingénierie et de mécanique, département APY, UMR 5295, Talence, France}\\[5mm]
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Spherical silica xerogels are efficient acoustic Mie resonators. When these inclusions are dispersed in a fluid matrix, the final material may display a negative acoustic refractive index upon a set of precise constraints concerning the material properties, concentration, size and dispersity of inclusions. Because xerogels may sustain both pressure and shear waves whereas only longitudinal waves propagate in the matrix, several bands with negative index can be tailored. Here, we quantify theoretically such a possibility and demonstrate it experimentally by engineering calibrated particles of silica xerogels using microfluidics. We find that Poissons ratio of the inclusions is a key descriptor of these 3D metafluids.


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