Related Experiment Videos
Radiation pattern of a focused transducer: a numerically convergent solution
X Chen1, K Q Schwarz, K J Parker
1Rochester Center for Biomedical Ultrasound, New York.
The Journal of the Acoustical Society of America
|November 1, 1993
Summary
This study reexamines focused transducer radiation patterns, offering a new, computationally efficient Bessel function solution. This method improves accuracy for off-axis pressure distribution, impacting acoustic backscatter analysis.
Area of Science:
- Acoustics
- Wave Propagation
- Numerical Methods
Background:
- Focused transducers are crucial in various applications, including medical imaging and sonar.
- Accurate modeling of their radiation patterns is essential for performance prediction.
- Existing models often involve complex integrals, limiting computational efficiency.
Purpose of the Study:
- To reexamine the radiation pattern of a focused transducer.
- To develop a more computationally advantageous solution for pressure distribution.
- To investigate the implications of the new solution for acoustic measurements.
Main Methods:
- Dividing the radiation field into illuminated and shadow zones.
- Developing a numerically convergent solution using summations of Bessel functions.
- Analyzing the pressure distribution and amplitude.
Main Results:
- A computationally efficient solution using Bessel function summations was derived.
- The new solution offers advantages over methods requiring complex plane integrals.
- Slight differences in off-axis pressure amplitude at low frequencies were observed compared to previous reports.
Conclusions:
- The Bessel function summation method provides a more efficient and accurate way to model focused transducer radiation patterns.
- Observed pressure amplitude differences may influence backscatter coefficient determination in acoustic systems.
- The solution is applicable to flat disk radiators as a limiting case.