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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
PubMed
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.

Keywords:
Rayleigh integralannular phased array transducersensitivity variation

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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.