Ketterling Jeffrey A
Riverside Research Institute, 156 William Street, New York, New York 10038, USA.
J Acoust Soc Am. 2003 Dec;114(6 Pt 1):3065-75. doi: 10.1121/1.1618753.
The acoustic pressure field at an arbitrary point in space is derived for a wedge-shaped section of a spherical cap transducer using the spatial impulse response (SIR) method. For a spherical surface centered at the origin, a wedge shape is created by taking cuts in the X-Y and X-Z planes and removing the smallest surface component. Analytic expressions are derived for the SIR based on spatial location. The expressions utilize the SIR solutions for a spherical cap transducer [Arditi et al., Ultrason. Imaging 3, 37-61 (1981)] with additional terms added to account for the reduced surface area of the wedge. Results from the numerical model are compared to experimental measurements from a wedge transducer with an 8-cm outer diameter and 9-cm geometric focus. The experimental and theoretical -3-dB beamwidths agreed to within 10% +/- 5%. The SIR model for a wedge-shaped transducer is easily extended to other spherically curved transducer geometries that consist of combinations of wedge sections and spherical caps.
使用空间脉冲响应(SIR)方法,推导出了球冠换能器楔形截面在空间中任意点的声压场。对于以原点为中心的球面,通过在X - Y和X - Z平面上进行切割并去除最小的表面部分来创建楔形。基于空间位置推导出了SIR的解析表达式。这些表达式利用了球冠换能器的SIR解[阿尔迪蒂等人,《超声成像》3,37 - 61(1981)],并添加了额外的项来考虑楔形减小的表面积。将数值模型的结果与外径为8厘米、几何焦距为9厘米的楔形换能器的实验测量结果进行了比较。实验和理论 - 3分贝波束宽度的误差在10%±5%以内。楔形换能器的SIR模型很容易扩展到其他由楔形截面和球冠组合而成的球面弯曲换能器几何形状。