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Reconstructing effective ultrasound transducer models via distributed source inversion.

Tim Bürchner¹, Simon Schmid², Ernst Rank³

¹Chair of Computing in Civil and Building Engineering, Technical University of Munich, Germany.

|July 10, 2026

Summary

Accurate ultrasound transducer modeling is crucial for effective ultrasonic testing. This study introduces a distributed source inversion method to create precise spatio-temporal models, improving wavefield simulation and imaging quality.

Keywords:

Full-waveform inversion Piezoelectric transducer modeling Source characterization Ultrasonic non-destructive testing Wave equation

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Area of Science:

Ultrasonic Testing
Acoustic Wave Propagation
Non-Destructive Evaluation

Background:

Accurate modeling of ultrasound wave propagation is vital for high-fidelity simulations in ultrasonic testing.
Characterizing excitation sources, especially for large-aperture transducers, presents a significant challenge due to non-uniform excitation and spatial interference.

Purpose of the Study:

To develop a distributed source inversion strategy for reconstructing effective spatio-temporal transducer models.
To capture aperture-dependent phase and amplitude variations without needing detailed transducer structure knowledge.

Main Methods:

Proposed a distributed source inversion strategy to reconstruct transducer models.
Validated the approach using directivity measurements on an aluminum half-cylinder.
Conducted synthetic studies on reverse time migration and full-waveform inversion.

Main Results:

The reconstructed source model accurately reproduces experimentally measured wavefields.
Simulations using the reconstructed model showed close agreement with experimental directivity patterns and waveform shapes.
Accurate transducer modeling significantly improves reconstruction quality in simulation-based imaging and inversion.

Conclusions:

The distributed source inversion strategy effectively reconstructs spatio-temporal transducer models.
Accurate transducer modeling is critical for the success of advanced ultrasonic imaging and inversion workflows.
The method enhances the fidelity of ultrasonic testing simulations and data interpretation.