用近场声学测量信息可视化多个三维障碍物的一种快速算法

摘要

提出了用点声源散射场的近场信息来可视化多个三维障碍物的一种简单快速算法，它是通过利用一个线性方程组的解的三维等值线图来实现这种可视化的.这个算法的一个特别吸引人的性质是，它避开了迭代技术的应用，而且不需要关于障碍物的任何几何和物理的先验信息.此外，它只需要散射场在测量表面的某个有限范围中若干个观测点处的近场测量信息，就能得到障碍物的一个很理想的可视化.数值算例保证了这个可视化算法是有效和实用的.%A simple fast algorithm is proposed for visualizing multiple three-dimensional (3D) obstacles from the knowledge of the near-field measurements of the scattered field for point source field.The proposed algorithm is achieved by using the 3D contour plot of the solution of a linear system as a visualization of the scattering object.An attractive feature of this algorithm is that it avoids the use of the iteration technique and does not need any priori knowledge about the geometry and physical properties of scatterers.In addition,the algorithm only requires the knowledge of the near-field measurements of the scattered field at a finite number of incident and observation points distributed over some limited area.Some numerical examples based on synthetic near-field data are given to show the practicality and efficiency of the inversion approach.