Finite element-based diffraction correction for piezoelectric transducers accounting for diffraction at transmission,
Eivind Nag Mosland1, Per Lunde1, Jan Kocbach2
1Department of Physics and Technology, University of Bergen, P.O. Box 7803, N-5020 Bergen, Norway.
The Journal of the Acoustical Society of America
|October 9, 2023
Summary
This study presents a new diffraction correction model for ultrasonic systems that avoids simplifying assumptions. The advanced finite element model offers greater accuracy in measurements by considering full boundary conditions.
Area of Science:
- Acoustics
- Ultrasonic Measurement Systems
- Finite Element Analysis
Background:
- Existing ultrasonic diffraction correction models use simplifying assumptions for boundary conditions.
- These simplifications, like the baffled piston model, may limit accuracy in certain applications.
- Evaluating and quantifying the validity of these assumptions is crucial for precise measurements.
Purpose of the Study:
- To develop a more accurate diffraction correction model for ultrasonic transmit-receive systems.
- To eliminate simplifying assumptions regarding transmitter and receiver boundary conditions.
- To provide a robust model applicable to various ultrasonic measurement scenarios.
Main Methods:
- Developed a finite element model (FEM) for coaxially aligned piezoelectric transducers in a fluid.
- Incorporated full electrical and mechanical boundary conditions at both transmitter and receiver.
- Compared the new model with existing simplified models using a case study.
Main Results:
- The new model avoids common simplifications, enhancing accuracy.
- Significant errors (up to 3 dB and 47°) were observed in existing models due to simplifications, particularly in the near-field.
- Errors are dependent on factors like distance, frequency, transducer design, and medium properties.
Conclusions:
- The proposed finite element model provides a more accurate diffraction correction for ultrasonic systems.
- Simplified models can introduce substantial errors, necessitating the use of more comprehensive approaches.
- The model's accuracy is validated through comparison with existing methods and analysis of error dependencies.
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