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Bandgap engineering of three-dimensional phononic crystals in a simple cubic lattice

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In this work, we present a comprehensive theoretical and experimental study of three-dimensional phononic crystals arranged in a simple cubic lattice. The band structure is analytically modeled as a 3D… Click to show full abstract

In this work, we present a comprehensive theoretical and experimental study of three-dimensional phononic crystals arranged in a simple cubic lattice. The band structure is analytically modeled as a 3D mass spring system and numerically calculated within the corresponding simple cubic Brillouin zone. We report on a design yielding a record bandgap of 166% relative width, validated by simulations and measurements of longitudinal and shear wave transmission in different spatial directions. In the additively fabricated samples, gap suppression reaches −80 dB relative to a solid reference. Comparison of different unit cell geometries showcases approaches to engineer gap width and suppression, as well as transmission bands outside the gap.In this work, we present a comprehensive theoretical and experimental study of three-dimensional phononic crystals arranged in a simple cubic lattice. The band structure is analytically modeled as a 3D mass spring system and numerically calculated within the corresponding simple cubic Brillouin zone. We report on a design yielding a record bandgap of 166% relative width, validated by simulations and measurements of longitudinal and shear wave transmission in different spatial directions. In the additively fabricated samples, gap suppression reaches −80 dB relative to a solid reference. Comparison of different unit cell geometries showcases approaches to engineer gap width and suppression, as well as transmission bands outside the gap.

Keywords: three dimensional; simple cubic; phononic crystals; dimensional phononic; cubic lattice

Journal Title: Applied Physics Letters
Year Published: 2018

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