Open AccessMenger fractal structure with negative refraction and sound tunnelling properties
Author(s) -
Long Yu,
Wenshuai Xu,
Meng Chen,
Dongliang Pei,
Tao Yang,
Heng Jiang,
Yuren Wang
Publication year - 2019
Publication title -
materials research express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.383
H-Index - 35
ISSN - 2053-1591
DOI - 10.1088/2053-1591/ab4c57
Subject(s) - negative refraction , metamaterial , fractal , quantum tunnelling , superlens , physics , optics , acoustic wave , acoustics , condensed matter physics , mathematical analysis , mathematics
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.