Abstract
Stealthy hyperuniform point patterns are characterized by a vanishing spatial Fourier transform around the origin of the reciprocal vector space. The long-range point density fluctuations are suppressed as well in materials consisting of such distribution of scatterers, opening up opportunities to control waves. Beside wave transport in such structured materials are driven by several elements, such as the acoustic properties of the host material, the scatterer characteristics, i.e., dimensions or resonant features, and the scatterer distribution patterns. The effects of these three basic elements on the wave transport properties are usually hard to discriminate. In this work, we analyze the transport properties of acoustic waves in one-dimensional phononic materials constituted of either non-resonant or resonant scatterers distributed along stealthy hyperuniform patterns in air. The pattern is controlled by the stealthiness, allowing us to continuously vary from random phononic materials to phononic crystals. The properties of the scatterers are controlled by their size and/or the resonant frequencies. The properties of the host material are controlled by the viscothermal losses. Transport properties of stealthy hyperuniform materials are found to be robust to both the scatterer dimensions and inherent viscothermal losses, while strongly affected by the scatterer resonances, which introduce sharp dips in the transmission coefficient.
Highlights
In recent years, the wave physics community has become increasingly interested in stealthy hyperuniform materials, as the dispersion relations of these materials exhibit isotropic bandgaps they are not periodic.1–13 These isotropic bandgaps have been exploited to design isotropic filters and free-shaped waveguides with both photonic8,9 and phononic6 hyperuniform materials
We start by analyzing the transmission coefficients ∣T∣ of the different proposed stealthy hyperuniform materials consisting of non-resonant scatterers without considering the viscothermal losses
The wave transport properties of 1D phononic materials made of stealthy hyperuniform distributions of non-resonant or resonant scatterers are analyzed in this work
Summary
The properties of stealthy materials appear to be robust to the losses present under realistic conditions, demonstrating the potential of correlated disorder for practical designs Wave transport in such materials is driven by several elements, such as the scatterer distribution patterns, the scatterer characteristics, i.e., dimensions or resonant features, and the acoustic properties of the host material. The wave transport properties are first analyzed in these 1D phononic structures going from disordered materials to ordered ones (phononic crystals) when χ varies continuously We compare these properties to those of the same 1D phononic materials when either non-resonant or resonant scatterers are located at the positions of the point patterns. A resonant scatterer consists of the same non-resonant scatterer but loaded by a quarter-wavelength resonator
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