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

Huang J.H.; Ding D.

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

机译：球形聚焦换能器物理焦距的简单近似公式

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摘要

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.

机译：提出了一个简单的近似公式来描述具有超声场的球形聚焦换能器的物理焦距和几何焦距之间的关系。无论聚焦强度是强还是弱，以及流体是非衰减还是衰减，都适用此简单表达式。分析结果表明，相对于数值解，简单近似公式的平均误差肯定小于2％。

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《Ultrasonics, Ferroelectrics and Frequency Control, IEEE Transactions on》 |2009年第12期|P.2764-2768|共5页
作者
Huang J.H.; Ding D.;
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Feng Chia University, Taichung, Republic of China;

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6. A simple method for production of trackless focal lesions with focused ultrasound: physical factors [O] . P. P. Lele 1962

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

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