Benenson Zalman M, Elizarov Alexey B, Yakovleva Tatiana V, O'Brien William D
Department of Theory and Algorithms of Signal Processing, Scientific Council on Cybernetics RAS, Vavilova St., 40, r. 232, Moscow, 117333, Russia.
IEEE Trans Ultrason Ferroelectr Freq Control. 2002 Dec;49(12):1665-85. doi: 10.1109/tuffc.2002.1159846.
A new three-dimensional (3-D) acoustic image formation technique is proposed that is based on the transmission of wide bandwidth pulse signals and the application of the 3-D fast Fourier transform. A solution to the Helmholz wave equation has been obtained using the Born approximation. The solution contains analytical expressions for the spatial spectra of the transmit and receive radiation patterns for transducers of various geometries with lenses of fixed focal distances. It has been shown that the proposed algorithms allow for radiation patterns with constant widths at depths both behind and in front of the focal point, starting practically from the plane of the transducer. The theoretical and experimental investigations and computer simulation for both spherical and rectangular transducer shapes have been performed. The results were used to estimate the beamwidths and the side lobe levels. A variant of the linear array has been studied for cylindrical lens of a fixed focal distance moving in a lateral direction. It has been shown that, in this case, a high resolution (of the order of a few wavelengths) can be achieved along all three Cartesian coordinates at a very high scanning velocity. The influence of the moving scatterers' velocity in inhomogeneous medium on the spatial radiation pattern characteristics has been estimated.
提出了一种新的三维(3-D)声学成像技术,该技术基于宽带脉冲信号的传输和三维快速傅里叶变换的应用。利用玻恩近似得到了亥姆霍兹波动方程的一个解。该解包含了具有固定焦距透镜的各种几何形状换能器的发射和接收辐射方向图空间谱的解析表达式。结果表明,所提出的算法能够在焦点前后的深度处产生宽度恒定的辐射方向图,实际上从换能器平面开始即可。对球形和矩形换能器形状进行了理论、实验研究及计算机模拟。结果用于估计波束宽度和旁瓣电平。研究了一种固定焦距的柱面透镜在横向移动的线性阵列变体。结果表明,在这种情况下,可以在非常高的扫描速度下沿所有三个笛卡尔坐标实现高分辨率(几波长量级)。估计了非均匀介质中移动散射体速度对空间辐射方向图特性的影响。