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.

References in corpus (7)

• A Perfect Metamaterial Absorber
• Achieving transparency with plasmonic coatings
• A metamaterial absorber for the terahertz regime: Design, fabrication and characterization
• Reverse Doppler Effect of Sound
• Refraction at Media with Negative Refractive Index
• Resonant Metalenses for Breaking the Diffraction Barrier
• Time reversal sub-wavelength focusing in bubbly media

Cited by in corpus (7)

• Broadband Coherent Perfect Absorption of Acoustic Waves with Bubble Meta-Screens
• Acoustics of cubic bubbles: six coupled oscillators
• Left-handed Band in an Electromagnetic Metamaterial Inducedby Sub-wavelength Multiple Scattering
• Locally Polarized Wave Propagation through Metamaterials' Crystallinity
• Modeling frequency shifts of collective bubble resonances with the boundary element method
• Three-dimensional acoustic lensing with a bubbly diamond metamaterial
• Experimental demonstration of negative refractionwith 3D locally resonant acoustic metafluids