Anisotropic mass density by two-dimensional acoustic metamaterials
By D. Torrent, José Sánchez-Dehesa. 2008
183 citations recorded by the source corpus.
We show that specially designed two-dimensional arrangements of full elastic cylinders embedded in a nonviscous fluid or gas define (in the homogenization limit) a new class of acoustic metamaterials characterized by a dynamical effective mass density that is anisotropic. Here, analytic expressions for the dynamical mass density and the effective sound velocity tensors are derived in the long wavelength limit. Both show an explicit dependence on the lattice filling fraction, the elastic properties of cylinders relative to the background, their positions in the unit cell, and their multiple scattering interactions. Several examples of these metamaterials are reported and discussed.
Subfields: Biomedical Engineering, Electronic, Optical and Magnetic Materials, Oceanography
View Paper: https://www.semanticscholar.org/paper/ed074178200de07827b77997778bb5357c257e02
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In Biomedical Engineering
In Electronic, Optical and Magnetic Materials
In Oceanography
Citations in the corpus
- Acoustic cloaking in two dimensions: a feasible approach (2008, background): “We arrive at the solution proposed here by exploring the possibility of building anisotropic materials based on sonic crystals with two types of material cylinders, following a combination of two approaches previously introduced by these authors [8, 9].”
- Experimental demonstration of an acoustic magnifying hyperlens. (2009, methodology): “The general derivation of this equation has been done previousl”