Linking time-domain vibration behaviors to spatial-domain propagating waves in a leaf-like gradient-index phononic crystal lens

Kuo Chih Chuang, Dan Feng Wang, Jun Jie Liu, Chan Yi Liao

Research output: Contribution to journalArticlepeer-review

Abstract

It is known that a propagating wave at a certain spatial point can be decomposed into plane waves propagating at different angles. In this work, by designing a gradient index phononic crystal lens (GRIN PCL) with transverse-continuous leaf-like unit cells, we theoretically and experimentally show that the spatial-domain propagating waves in finite periodic structures can be linked to their time-domain vibration behaviors. The full-field instantaneous focusing behaviors of Lamb waves in the proposed leaf-like GRIN PCL give an example of the wave-vibration linkage in finite periodic structures while allowing a certain complexity. The conclusion in this paper can help one skip iterative time-consuming finite element analysis (e.g., time-stepping solutions) to avoid possible numerical instabilities occurred in calculating transient wave field on practical finite metamaterials or phononic crystals having unit cells with complicated configurations.

Original languageEnglish
Article number1490
JournalCrystals
Volume11
Issue number12
DOIs
StatePublished - Dec 2021

Keywords

  • Gradient-index lens
  • Lamb waves
  • Phononic crystals
  • Vibration

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