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Steady state unfocused circular aperture beam patterns in nonattenuating and attenuating fluids
1Department of Radiology, Wayne State University School of Medicine, Detroit Receiving Hospital, Detroit, Michigan 48201, USA. agoldste@med.wayne.edu
The Journal of the Acoustical Society of America
|February 5, 2004
Summary
This study presents approximate formulas for acoustic pressure in ultrasound beams. Accurate models for non-attenuating and attenuating fluids aid in designing precise attenuation measurements.
Area of Science:
- Acoustics
- Fluid Dynamics
- Ultrasonic Imaging
Background:
- Accurate modeling of acoustic fields is crucial for ultrasound applications.
- Understanding wave propagation in fluids, both ideal and dissipative, is essential.
Purpose of the Study:
- Derive approximate formulas for axial and lateral pressure in ultrasonic beam patterns.
- Investigate the behavior of acoustic fields in non-attenuating and attenuating fluids.
- Provide tools for designing high-accuracy attenuation measurements.
Main Methods:
- Developed single integral approximate formulas for pressure magnitudes.
- Utilized normalized beam patterns for accuracy at shallow depths.
- Applied complex Bessel functions for attenuated beam patterns.
Main Results:
- Identified the far-field beginning at 6.41Y0 for non-attenuated beams.
- Demonstrated Jinc function representation for non-attenuated lateral profiles.
- Derived shifts in axial pressure maxima/minima due to attenuation.
Conclusions:
- The derived formulas offer accurate approximations for acoustic pressure.
- Findings facilitate the design of experiments for precise fluid attenuation measurements.
- The study provides a foundation for further research in ultrasonic wave propagation.