Acoustic metamaterials for sound focusing and confinement

By Sébastien Guenneau, Alexander B. Movchan, G. Petursson, S. Anantha Ramakrishna. 2007

324 citations recorded by the source corpus.

We give a theoretical design for a locally resonant two-dimensional cylindrical structure involving a pair of C-shaped voids in an elastic medium which we term as double ‘C’ resonators (DCRs) and imbedded thin stiff bars, that displays the negative refraction effect in the low frequency regime. DCRs are responsible for a low frequency band gap which hybridizes with a tiny gap associated with the presence of the thin bars. Using an asymptotic analysis, typical working frequencies are given in closed form: DCRs behave as Helmholtz resonators modeled by masses connected to clamped walls by springs on either side, while thin bars behave as a periodic bi-atomic chain of masses connected by springs. The discrete models give an accurate description of the location and width of the stop band in the case of the DCR and the first two dispersion bands for the periodic thin bars. We then combine our asymptotic formulae for arrays of DCR and thin-bars to design a composite structure that displays a negative refraction effect and has a negative phase velocity in a frequency band, and thus behaves in many ways as a negative refractive acoustic medium (NRAM). Finite element computations show that at this frequency, a slab of such NRAM works as a phononic flat superlens whereas two corners of such NRAM sharing a vertex act as an open resonator and can be used to confine sound to a certain extent.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/e0603c857f20e0dc1fff6f54459dee2bf5deeb1a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Gang Zhang
2. Baowen Li
3. Farzad Zangeneh-Nejad
4. Nianbei Li
5. Jie Ren
6. Lei Wang
7. R. Fleury
8. P. Hänggi

In Biomedical Engineering

1. Gang Zhang
2. P. Sheng
3. R. Fleury
4. Farzad Zangeneh-Nejad
5. Zhengyou Liu
6. Weijia Wen
7. Jun Mei
8. P. Hänggi

In Electronic, Optical and Magnetic Materials

1. R. Fleury
2. Farzad Zangeneh-Nejad
3. Zhengyou Liu
4. Weijia Wen
5. Jun Mei
6. P. Sheng
7. Massimo Ruzzene
8. Jihong Wen

Citations in the corpus

• Colloquium : Phononics: Manipulating heat flow with electronic analogs and beyond (2011, background): “It would not come as a too big surprise when someday concepts such as a “heat-cloak”, “super heat lens”, etc., come alive via the implementation of phononic concepts by use of acoustic meta-materials (Fang et al., 2006; Guenneau et al., 2007; Yang et al., 2004; Zhang and Liu, 2004).”
• Dynamic Mass Density and Acoustic Metamaterials (2007, background): “During the past few years, there has been a proliferation of theoretical/numerical predictions [37–41] for achieving acoustic focusing and superlensing by using acoustic metamaterials.”
• Active times for acoustic metamaterials (2019, background): “with resolution below the diffraction limit [113].”