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Practical Method for Evaluating the Element Sensitivity Variation of an Ultrasonic Annular Phased Array Transducer.
Zhengxiao Sha1,2,3, Xiao Liu1, Yanze Liu1
1AECC Beijing Institute of Aeronautical Materials, Beijing 100095, China.
Sensors (Basel, Switzerland)
|January 10, 2026
Summary
This study introduces a new method to accurately measure element sensitivity in annular phased array transducers. The improved algorithm corrects for geometric variations, revealing true element consistency and enhancing measurement reliability.
Area of Science:
- Ultrasound transducer technology
- Acoustic engineering
- Medical imaging physics
Background:
- Annular phased array transducers have unique geometric features (ring-shaped elements, concentric configuration) causing distinct behavior from linear arrays.
- Standard sensitivity assessment techniques for linear arrays yield significant errors when applied to annular arrays, particularly regarding element-to-element variance.
- Accurate element sensitivity evaluation is crucial for reliable performance of annular phased array transducers.
Purpose of the Study:
- To investigate and accurately evaluate the element-to-element sensitivity consistency in annular phased array transducers.
- To develop and validate a modified algorithm for sensitivity assessment that accounts for the unique geometry of annular array elements.
- To improve the reliability of measurements for annular phased array transducers in practical applications.
Main Methods:
- Developed a Long-Belt source assumption model using the Rayleigh integral to analytically characterize ring-shaped element responses.
- Validated the theoretical model through numerical simulations, confirming a linear correlation between response amplitude and element radial width.
- Proposed and applied a modified sensitivity evaluation algorithm using response voltage per unit width to normalize for geometric variations.
Main Results:
- The modified algorithm significantly reduced the maximum measured sensitivity variation from 25 dB to 6 dB for a 32-element annular array transducer.
- The results demonstrate the intrinsic sensitivity consistency of the transducer elements, overcoming geometric differences.
- The central element's unique geometry prevents its evaluation with the current method, requiring separate consideration.
Conclusions:
- The proposed algorithm provides a more accurate evaluation of sensitivity consistency for annular phased array transducers.
- Correcting for geometric variations is essential for reliable sensitivity assessment in these unique transducer types.
- This method enhances measurement reliability, contributing to improved performance and application of annular phased array transducers.

