Title: Acoustic double negativity induced by position correlations within a disordered set of monopolar resonators,
Abstract: Using a Multiple Scattering Theory algorithm, we investigate numerically the
transmission of ultrasonic waves through a disordered locally resonant
metamaterial containing only monopolar resonators. By comparing the cases of a
perfectly random medium with its pair correlated counterpart, we show that the
introduction of short range correlation can substantially impact the effective
parameters of the sample. We report, notably, the opening of an acoustic
transparency window in the region of the hybridization band gap. Interestingly,
the transparency window is found to be associated with negative values of both
effective compressibility and density. Despite this feature being unexpected
for a disordered medium of monopolar resonators, we show that it can be fully
described analytically and that it gives rise to negative refraction of waves.