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

Author

Huang, J.H. ; Desheng Ding

Author_Institution

Dept. of Mech. & Comput.- Aided Eng., Feng Chia Univ., Taichung, Taiwan

Volume

56

Issue

12

fYear

2009

fDate

12/1/2009 12:00:00 AM

Firstpage

2764

Lastpage

2768

Abstract

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.

Keywords

ultrasonic propagation; ultrasonic transducers; approximate formula; geometric focal length; physical focal length; spherically focused transducers; ultrasonic fields; Acoustic beams; Acoustic propagation; Acoustic transducers; Acoustical engineering; Apertures; Attenuation; Distribution functions; Equations; Frequency; Vibrations; Algorithms; Computer Simulation; Computer-Aided Design; Equipment Design; Equipment Failure Analysis; Models, Theoretical; Reproducibility of Results; Scattering, Radiation; Sensitivity and Specificity; Transducers; Ultrasonography;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/TUFFC.2009.1368

Filename

5307509