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Publication . Article . 2016

Spatial Laplace transform for complex wavenumber recovery and its application to the analysis of attenuation in acoustic systems

Alan Geslain; Samuel Raetz; Morgan Hiraiwa; M. Abi Ghanem; Samuel P. Wallen; Amey Khanolkar; Nicholas Boechler; +5 Authors
Open Access
Published: 07 Oct 2016
Publisher: HAL CCSD
Country: France

International audience; We present a method for the recovery of complex wavenumber information via spatial Laplace transforms of spatiotemporal wave propagation measurements. The method aids in the analysis of acoustic attenuation phenomena and is applied in three different scenarios: (i) Lamb-like modes in air-saturated porous materials in the low kHz regime, where the method enables the recovery of viscoelastic parameters; (ii) Lamb modes in a Duralumin plate in the MHz regime, where the method demonstrates the effect of leakage on the splitting of the forward S-1 and backward S-2 modes around the Zero-Group Velocity point; and (iii) surface acoustic waves in a two-dimensional microscale granular crystal adhered to a substrate near 100 MHz, where the method reveals the complex wave-numbers for an out-of-plane translational and two in-plane translational-rotational resonances. This method provides physical insight into each system and serves as a unique tool for analyzing spatiotemporal measurements of propagating waves. Published by AIP Publishing.

Subjects by Vocabulary

Microsoft Academic Graph classification: Physics Acoustic wave equation Wave propagation Acoustic wave Acoustics Attenuation Laplace transform Wavenumber Dispersion (water waves) Acoustic attenuation


Saturated Porous-Media, Velocity Lamb Modes, Damping Ratio, Propagation, Tortuosity, Generation, Crystals, Scattering, Parameters, Dispersion, [PHYS]Physics [physics], [ PHYS ] Physics [physics], [SPI]Engineering Sciences [physics], General Physics and Astronomy

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Funded by
NSF| Micro- to Nanoscale Granular Contact Dynamics and Nonlinear Granular-Elastic Metamaterials
  • Funder: National Science Foundation (NSF)
  • Project Code: 1333858
  • Funding stream: Directorate for Engineering | Division of Civil, Mechanical & Manufacturing Innovation
Paris Sciences et Lettres
  • Funder: French National Research Agency (ANR) (ANR)
  • Project Code: ANR-10-IDEX-0001
ANR| Metaudible
Design of metamaterials for the absorption of audible sound
  • Funder: French National Research Agency (ANR) (ANR)
  • Project Code: ANR-13-BS09-0003
NSF| Graduate Research Fellowship Program (GRFP)
  • Funder: National Science Foundation (NSF)
  • Project Code: 1256082
  • Funding stream: Directorate for Education & Human Resources | Division of Graduate Education
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