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    Area of Science:

    • Non-destructive testing
    • Ultrasonic imaging
    • Computational modeling

    Background:

    • Multi-view total focusing method (TFM) utilizes internal reflections and mode conversions for ultrasonic imaging.
    • Accurate modeling of defect responses is crucial for advancing TFM-based detection and characterization.

    Purpose of the Study:

    • To develop and validate a ray-based forward model for simulating defect responses in multi-view TFM.
    • To compare the model's performance against finite-element simulations and experimental data.

    Main Methods:

    • A ray-based forward model was developed for small two-dimensional defects.
    • The model was validated using finite-element simulations and experimental data for side-drilled holes, notches, and cracks.
    • A simplified single-frequency approximation of the model was also derived and evaluated.

    Main Results:

    • The ray-based forward model demonstrated good agreement with multi-frequency simulations.
    • The single-frequency approximation achieved comparable results to the multi-frequency model.
    • Significant speed-up of several orders of magnitude was observed with the simplified model.

    Conclusions:

    • The developed ray-based forward model is a viable tool for simulating defect responses in multi-view TFM.
    • The simplified single-frequency model offers a computationally efficient alternative without substantial loss of accuracy.
    • This work lays the foundation for developing advanced TFM defect detection and characterization techniques.