Abstract

We investigate longitudinal near-field coupling between acoustic resonators grafted onto a waveguide. Experiments are performed in the audible range with a simple acoustic system composed of a finite aperiodic sequence of air resonators. Transmission typically shows a zero around a resonance frequency of a single resonator, as is well known. When two identical resonators are brought in close proximity, however, we observe that longitudinal near-field coupling strongly influences the acoustic transmission. When the separation between resonators is increased so that they can be considered in the far field of one another, we further observe the appearance of Fano-like transmission profiles. We explain this observation by the formation of locally resonant Fabry-Perot interferometers from every pair of resonators. All experimental results are compared to three-dimensional finite element analysis of the acoustic system.

Highlights

  • Control of acoustic/elastic wave propagation with small-size structures and in the low-frequency range is currently becoming an urgent demand, for applications to filters, waveguides, noise insulators, or energy harvesting [1,2,3,4]

  • In 2000, Liu et al proposed that a sonic crystal exhibiting band gaps though the lattice constant is two orders of magnitude smaller than the relevant sonic wavelength [5]

  • Those band gaps are generated owing to local resonances, with little dependence on periodicity

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Summary

Introduction

Control of acoustic/elastic wave propagation with small-size structures and in the low-frequency range is currently becoming an urgent demand, for applications to filters, waveguides, noise insulators, or energy harvesting [1,2,3,4]. In 2000, Liu et al proposed that a sonic crystal exhibiting band gaps though the lattice constant is two orders of magnitude smaller than the relevant sonic wavelength [5]. Those band gaps are generated owing to local resonances, with little dependence on periodicity. We investigate longitudinal near-field coupling between acoustic resonators. It is found that longitudinal near-field coupling has very significant effects on the transmission through the waveguide.

Experimental and Numerical Methods
Guided Evanescent Waves
Single Grafted Tube
Aperiodic Sequences of Resonators
Near-Field Coupling Regime
Locally-Resonant Fabry–Perot Interferometers
Two Identical Resonators Grafted onto the Waveguide with a Large Separation
Conclusions
Full Text
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