Reversed Doppler effect based on hybridized acoustic Mie resonances

Chen Liu,Xiaojun Liu,Houyou Long,Ying Cheng,Chen Zhou

doi:10.1038/s41598-020-58370-3

Abstract

The realization of reversed Doppler effects in double-negative acoustic metamaterials remains challenging. This paper demonstrates the reversed Doppler effect associated with sound wave propagation in negative group velocity in hybridized metamaterial (HM) system using a simple Mie-resonator configuration. Double-negative acoustic parameters act simultaneously on the effective dynamic bulk modulus and mass density within overlapped frequency region of multiple Mie resonances. Notably, while ordinary media exhibits higher received frequency during the approach and lower during the recession, we observe that in HM the detected signals show redshift compared to the emitted frequency when approaching to the source while depict blue shift when receding from the source. On this basis, the HM exhibits negative phase velocity with reversed wavefronts and negative refraction effect for certain frequency range. Focusing of sound waves emitted from a point source is further realized with a flat lens composed by such a HM slab.

Highlights

The realization of reversed Doppler effects in double-negative acoustic metamaterials remains challenging
We start with the regular square lattices as shown in the insets of Fig. 2(a,b), which are composed of identical traditional Mie resonator (TMR) and quadruple-channel Mie resonator (QMR) cylinders embedded in air background, respectively
We proposed a composite acoustic metamaterial based on hybridized acoustic Mie resonances

Summary

Introduction

The realization of reversed Doppler effects in double-negative acoustic metamaterials remains challenging. While ordinary media exhibits higher received frequency during the approach and lower during the recession, we observe that in HM the detected signals show redshift compared to the emitted frequency when approaching to the source while depict blue shift when receding from the source On this basis, the HM exhibits negative phase velocity with reversed wavefronts and negative refraction effect for certain frequency range. The abnormal reversed Doppler effect associate with negative phase velocity are illustrated By using such HM, the acoustic negative refraction effect and the imaging of the point source using a flat slab are successfully demonstrated. The shaded region represents the frequency range with1/κr < 0 or ρr < 0

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Conclusion