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Geometric-acoustics analysis of singly scattered, nonlinearly evolving waves by circular cylinders
Michael B Muhlestein1, Carl R Hart1
1U.S. Army Engineer Research and Development Center, Cold Regions Research and Engineering Laboratory, 72 Lyme Road, Hanover, New Hampshire 03755-1290, USA.
The Journal of the Acoustical Society of America
|July 3, 2020
Summary
Nonlinear acoustic wave scattering by rigid cylinders is analyzed using geometric acoustics. Incident wave nonlinearity is more critical than scattered wave nonlinearity when the nonlinear distortion length exceeds the cylinder radius.
Area of Science:
- Acoustics and wave physics
- Nonlinear acoustics
Background:
- Geometric acoustics (acoustic ray theory) is a method for analyzing wave propagation.
- High-amplitude acoustic waves can exhibit nonlinear behavior during scattering.
Purpose of the Study:
- To analyze the scattering of high-amplitude acoustic waves by rigid circular cylinders using geometric acoustics.
- To predict the nonlinear evolution of the scattered wave field and assess the significance of nonlinearity.
- To analyze scattering by multiple cylinders, excluding multiple scattering effects.
Main Methods:
- Application of geometric acoustics (acoustic ray theory).
- Theoretical prediction of nonlinear wave evolution.
- Analysis of scattering from single and multiple rigid circular cylinders.
Main Results:
- Predictions for the nonlinear evolution of scattered acoustic fields.
- Quantification of the importance of including nonlinearity in scattering analysis.
- Demonstration that incident wave nonlinearity dominates over scattered wave nonlinearity when the nonlinear distortion length is significantly larger than the cylinder radius.
Conclusions:
- Nonlinearity in the incident acoustic wave plays a more crucial role in the overall wave evolution than the nonlinearity of individual scattered waves.
- The findings are significant for understanding high-amplitude acoustic wave interactions with obstacles.
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