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Second-harmonic generation in a sound beam reflected and transmitted at a curved interface
I R Makin1, M A Averkiou, M F Hamilton
1Department of Mechanical Engineering, The University of Texas at Austin 78712-1063, USA.
The Journal of the Acoustical Society of America
|October 29, 2000
Summary
This study models second-harmonic generation in acoustic beams interacting with curved interfaces. Interface curvature and impedance changes significantly affect energy transfer from the fundamental to the second harmonic.
Area of Science:
- Acoustics
- Nonlinear Acoustics
- Fluid Dynamics
Background:
- Second-harmonic generation is crucial for nonlinear acoustics.
- Understanding acoustic wave interaction with interfaces is essential for various applications.
Purpose of the Study:
- To develop a model for second-harmonic generation in acoustic beams at curved interfaces.
- To analyze the influence of interface curvature and impedance mismatch on nonlinear acoustic energy transfer.
Main Methods:
- Analytical modeling of acoustic wave propagation in homogeneous fluids.
- Derivation of solutions for focused Gaussian beams.
- Inclusion of interface reflection/transmission and impedance effects.
Main Results:
- Developed analytic solutions for second-harmonic generation at curved interfaces.
- Demonstrated the impact of focusing/defocusing effects from interface curvature.
- Quantified the combined influence of curvature and impedance on energy transfer efficiency.
Conclusions:
- The model provides insights into nonlinear acoustic phenomena at curved boundaries.
- Interface geometry and material properties critically modulate harmonic generation.
- This work aids in predicting and controlling nonlinear acoustic wave behavior.