A simple approximate formula for the physical focal length of spherically focused transducers

A simple approximate formula is presented to describe the relationship between the physical focal lengths and the geometric focal lengths of spherically focused transducers with ultrasonic fields. This simple expression applies regardless of whether the focus strength is strong or weak, and regardle...

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Bibliographic Details
Published in:IEEE transactions on ultrasonics, ferroelectrics, and frequency control ferroelectrics, and frequency control, 2009-12, Vol.56 (12), p.2764-2768
Main Authors: Huang, J.H., Desheng Ding
Format: Article
Language:English
Subjects:
Acoustic beams
Acoustic propagation
Acoustic transducers
Acoustical engineering
Acoustics
Algorithms
Apertures
Approximation
Attenuation
Computational fluid dynamics
Computer Simulation
Computer-Aided Design
Distribution functions
Equations
Equipment Design
Equipment Failure Analysis
Error analysis
Exact sciences and technology
Ferroelectric materials
Fluid flow
Frequency
Fundamental areas of phenomenology (including applications)
Mathematical models
Models, Theoretical
Physics
Reproducibility of Results
Scattering, Radiation
Sensitivity and Specificity
Transducers
Transduction
acoustical devices for the generation and reproduction of sound
Ultrasonography - instrumentation
Vibrations
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Summary:A simple approximate formula is presented to describe the relationship between the physical focal lengths and the geometric focal lengths of spherically focused transducers with ultrasonic fields. This simple expression applies regardless of whether the focus strength is strong or weak, and regardless of whether the fluids are non-attenuating or attenuating. Analysis results show that the average error of the simple approximate formula is certainly less than 2% relative to the numerical solution.
ISSN:0885-3010
1525-8955
DOI:10.1109/TUFFC.2009.1368