Fox Paul D, Cheng Jiqi, Luc Jian-yu
Orsted DTU, Technical University of Denmark, Building 348, DK-2800 Lyngby, Denmark.
J Acoust Soc Am. 2003 May;113(5):2412-23. doi: 10.1121/1.1560211.
A one-dimensional (1D) Fourier-Bessel series method for computing and tuning (beamforming) the linear lossless field of flat pulsed wave annular arrays is developed and supported with both numerical simulation and experimental verification. The technique represents a new method for modeling and tuning the propagated field by linking the quantized surface pressure profile to a known set of limited diffraction Bessel beams propagating into the medium. This enables derivation of an analytic expression for the field at any point in space and time in terms of the transducer surface pressure profile. Tuning of the field then also follows by formulating a least-squares design for the transducer surface pressure with respect to a given desired field in space and time. Simulated and experimental results for both field computation and tuning are presented in the context of a 10-ring annular array operating at a central frequency of 2.5 MHz in water.
本文提出了一种用于计算和调整（波束形成）平面脉冲波环形阵列线性无损场的一维（1D）傅里叶-贝塞尔级数方法，并通过数值模拟和实验验证进行了支持。该技术通过将量化的表面压力分布与一组已知的向介质中传播的有限衍射贝塞尔光束相联系，代表了一种用于对传播场进行建模和调整的新方法。这使得能够根据换能器表面压力分布推导空间和时间上任意点的场的解析表达式。然后，通过针对给定的空间和时间上的期望场制定换能器表面压力的最小二乘设计，也可以实现场的调整。在水中以2.5 MHz中心频率运行的10环环形阵列的背景下，给出了场计算和调整的模拟和实验结果。
