Abstract
We construct new quasi-three-dimensional fractal acoustic metamaterials based on adoption of the Menger structure, which offers extraordinary parameters such as double-negative properties and a near-zero density. The resulting metamaterials can thus achieve negative refraction, acoustic focusing and sound tunneling. Using the finite element method and the S-parameter retrieval method, the band structures and the effective parameters of these acoustic metamaterials are researched, respectively. The negative refraction property is numerically simulated using a Gaussian beam passing through a double negative prism. A plate lens with a refractive index of n = −1 is constructed to achieve acoustic focusing and the sound tunnelling ability is verified using the near-zero-density metamaterial. The results show that the Menger fractal structures have excellent acoustic properties and are promising for acoustic applications.
Highlights
Negative refraction, acoustic focusing and sound tunneling have attracted the interest of many researchers because of the potential engineering applications of these unique physical properties [1,2,3,4,5,6]
Because the negative mass density and the negative bulk modulus are caused by monopole resonance and dipole resonance, respectively, the double-negative properties can be realized if a single structural unit has these two resonance modes; this structure will be easier to apply
The figures show that the Menger fractal structures include multiple acoustic tunnels that can effectively reduce the reflection of acoustic waves at the acoustic metamaterial surface; they demonstrate a better way to construct lightweight acoustic metamaterials, which are promising for applications in engineering
Summary
Menger fractal structure with negative refraction and sound tunnelling properties Yu Liu, Wenshuai Xu1,2, Meng Chen, Dongliang Pei, Tao Yang, Heng Jiang and Yuren Wang. We construct new quasi-three-dimensional fractal acoustic metamaterials based on adoption of the. Any further distribution of Menger structure, which offers extraordinary parameters such as double-negative properties and a this work must maintain attribution to the near-zero density. The resulting metamaterials can achieve negative refraction, acoustic focusing author(s) and the title of and sound tunneling. Band structures and the effective parameters of these acoustic metamaterials are researched, respectively. A plate lens with a refractive index of n = −1 is constructed to achieve acoustic focusing and the sound tunnelling ability is verified using the near-zero-density metamaterial. The results show that the Menger fractal structures have excellent acoustic properties and are promising for acoustic applications
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