Acoustic metafluids

Abstract

Acoustic metafluids are defined as the class of fluids that allow one domain of fluid to acoustically mimic another, as exemplified by acoustic cloaks. It is shown that the most general class of acoustic metafluids are materials with anisotropic inertia and the elastic properties of what are known as pentamode materials. The derivation uses the notion of finite deformation to define the transformation of one region to another. The main result is found by considering energy density in the original and transformed regions. Properties of acoustic metafluids are discussed, and general conditions are found which ensure that the mapped fluid has isotropic inertia, which potentially opens up the possibility of achieving broadband cloaking.

12 pages, 6 figures

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Cited by in corpus (27)

• On the feasibility of pentamode mechanical metamaterials
• Measurements of Broadband Negative Index in Space-Coiling Acoustic Metamaterials
• Highly-anisotropic elements for acoustic pentamode applications
• Phonon band structures of three-dimensional pentamode metamaterials
• Elastic measurements on macroscopic three-dimensional pentamode metamaterials
• Quasi isotropic underwater acoustic carpet cloak based on latticed pentamode metafuid
• Hyperelastic cloaking theory: Transformation elasticity with pre-stressed solids
• Nonlinear pre-stress for cloaking from antiplane elastic waves
• Design of an underwater acoustic bend by pentamode metafluid
• Multiple Scattering Formulation of Two Dimensional Acoustic and Electromagnetic Metamaterials
• Analogue Transformations in Physics and their Application to Acoustics
• Acoustic metafluids made from three acoustic fluids
• Design of arbitrarily shaped acoustic cloaks through PDE-constrained optimization satisfying sonic-metamaterial design requirements
• A high transmission broadband gradient index lens using elastic shell acoustic metamaterial elements
• Spacetime transformation acoustics
• Analogue transformation acoustics and the compression of spacetime
• Transformation Ray Method: Controlling High Frequency Elastic Waves
• The form-invariance of wave equations without requiring a priori relations between field variables
• Design and demonstration of an acoustic right-angle bend
• Rayleigh surface waves of extremal elastic materials
• Bending a periodically layered structure for transformation acoustics
• Acoustic Holographic Rendering with Two-dimensional Metamaterial-based Passive Phased Array
• Comment on "Design of acoustic devices with isotropic material via conformal transformation" [Appl. Phys. Lett. 97, 044101 (2010)]
• Transformational acoustic metamaterials based on pressure gradients
• Underwater Acoustic Multiplexing Communication by Pentamode Metasurface
• Classification of rotational zero modes in 2D micropolar solids
• A modified Marchenko method to retrieve the wave field inside a layered metamaterial from reflection measurements at the surface