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Ultrasonic Defect Characterization Using the Scattering Matrix: A Performance Comparison Study of Bayesian Inversion
Summary
This study explores ultrasonic nondestructive evaluation for small defect characterization. Convolutional neural networks (CNNs) show promise, offering accuracy comparable to Bayesian methods for favorably oriented defects.
Area of Science:
- Ultrasonic Nondestructive Evaluation (NDE)
- Materials Science
- Signal Processing
Background:
- Accurate characterization of material defects using ultrasonic nondestructive evaluation (NDE) is crucial for quantitative assessment of defect type and geometry.
- Image-based defect characterization using ultrasonic arrays performs poorly for small defects comparable to the wavelength.
- Extracting the far-field scattering coefficient matrix offers an alternative approach for characterizing small defects.
Purpose of the Study:
- To investigate two distinct approaches for characterizing small surface-breaking notches using ultrasonic array data.
- To compare the performance of a Bayesian framework with a coherent noise model against a supervised machine learning (ML) schema.
- To evaluate the effectiveness of convolutional neural networks (CNNs) within the ML approach for defect characterization.
Main Methods:
- Development of a general coherent noise model for characterization within a Bayesian framework.
- Implementation of a supervised machine learning (ML) schema utilizing a scattering matrix database for training.
- Training and evaluation of ML models, specifically focusing on convolutional neural networks (CNNs).
Main Results:
- Convolutional neural networks (CNNs) demonstrated the highest characterization accuracy among the evaluated ML approaches.
- For favorably oriented notches, CNNs achieved characterization uncertainty comparable to the Bayesian approach.
- Both approaches showed varied performance for unfavorably oriented notches, with the ML approach exhibiting higher variance and lower biases.
Conclusions:
- The study highlights the potential of scattering matrix analysis combined with advanced ML techniques like CNNs for small defect characterization in NDE.
- CNNs offer a competitive alternative to traditional Bayesian methods, particularly for specific defect orientations.
- Further research is needed to optimize performance for challenging defect geometries and orientations.

