Abstract

The current century witnessed an overwhelming research interest in phononic crystals (PnCs) and acoustic metamaterials (AMs) research owing to their fantastic properties in manipulating acoustic and elastic waves that are inconceivable from naturally occurring materials. Extensive research literature about the dynamical and mechanical properties of acoustic metamaterials currently exists, and this maturing research field is now finding possible industrial and infrastructural applications. The present study proposes a novel 3D composite multilayered phononic pillars capable of inducing two-dimensional and three-dimensional complete bandgaps (BGs). A phononic structure that consisted of silicon and tungsten layers was subjected to both plane and surface acoustic waves in three-dimensional and two-dimensional periodic systems, respectively. By frequency response study, the wave attenuation, trapping/localization, transmission, and defect analysis was carried out for both plane and surface acoustic waves. In the bandgap, the localized defect state was studied for both plane and surface acoustic waves separately. At the defect state, the localization of both plane and surface acoustic waves was observed. By varying the defect size, the localized frequency can be made tailorable. The study is based on a numerical technique, and it is validated by comparison with a reported theoretical work. The findings may provide a new perspective and insight for the designs and applications of three-dimensional phononic crystals for surface acoustic wave and plane wave manipulation, particularly for energy harvesting, sensing, focusing and waves isolation/attenuation purposes.

Highlights

  • The past two decades observed an overwhelming research interest for phononic crystals (PnCs) and locally resonant acoustic metamaterials (AMs) for their marvelous acoustic and elastic wave manipulation properties that are inconceivable from naturally occurring materials

  • Starting from the holey silicon substrate with Bragg scattering BG [39] to locally resonant AMs [40], multiple structural configurations are reported for different types of waves, including Lamb wave [41] and surface acoustic wave (SAW) [42,43]

  • The present study explores the possibility of silicon-tungsten ridges to manipulate both plane wave and surface acoustic wave

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Summary

Introduction

The past two decades observed an overwhelming research interest for phononic crystals (PnCs) and locally resonant acoustic metamaterials (AMs) for their marvelous acoustic and elastic wave manipulation properties that are inconceivable from naturally occurring materials. PnCs with the capability to generate wide BGs in all three-directions are interesting and they have potential applications for waveguiding, focusing, lensing, sensing, and acoustic/elastic wave suppression Such three-dimensional BGs are recently reported by D’Alessandro et al [65] and Muhammad and Lim [66,67]. By adjusting the geometric parameters, the propagating band for SAWs can be brought inside the SAW BG frequency range where low-passband, high-Q sharp transmission peaks are possible [8] Such high-Q, narrow passband confined modes are of prime interest for purposes that include waveguiding, energy harvesting, wave focusing and sensing, etc. The study may put forward a new insight into the design and manufacturing of PnCs to manipulate three-dimensional waves for a wide range of frequencies Both plane wave and SAW energy localization and robustness at the defect state can be effectively utilized for energy harvesting, focusing, and sensing purposes. The PnC structure was designed in such a fashion that made it periodic in all three directions

Theory and Mathematical Framework
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