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Quantifying the breakdown of single scattering for ultrasonic backscatter measurements
Nathanial J Matz1, Luz D Sotelo2, Joseph A Turner1
1Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, Nebraska 68588, USA.
The Journal of the Acoustical Society of America
|May 15, 2025
Summary
This study compares single and double ultrasonic scattering models for characterizing materials. The double scattering model is significant for strongly scattering materials under specific conditions, guiding experimental design.
Area of Science:
- Materials Science
- Acoustics
- Non-destructive Testing
Background:
- Diffuse ultrasonic backscatter arises from elastic wave interactions with material heterogeneity, providing microstructural insights.
- Accurate quantitative interpretation of ultrasonic scattering measurements, especially in highly scattering materials, requires sophisticated models.
- A recent double scattering model assumes energy scatters at most twice, but its applicability needs thorough investigation.
Purpose of the Study:
- To theoretically and experimentally compare the validity and significance of single and double ultrasonic scattering models.
- To explore the range of applicability for the double scattering model in material characterization.
- To provide guidelines for experimental design to ensure measurements fall within desired scattering regimes.
Main Methods:
- Theoretical analysis comparing single and double scattering models under various conditions.
- Experimental validation using steel as a strongly scattering material.
- Measurements conducted at ultrasonic frequencies of 5, 7.5, 10, and 15 MHz.
Main Results:
- Single scattering models are suitable for weakly scattering materials across diverse experimental setups.
- Stronger scattering materials exhibit significant second-order scattering influenced by transducer frequency and material path.
- Experimental data for steel identified the conditions under which double scattering becomes significant and highlighted model limitations.
Conclusions:
- The double scattering model is crucial for accurately characterizing strongly scattering materials.
- Transducer frequency and material path are key parameters influencing the significance of double scattering.
- Guidelines are provided to optimize experimental design for reliable ultrasonic scattering measurements.

