摘要
提出了用时谐声散射场的远场信息来可视化三维可穿透目标的一种指示器样本方法 ,它是通过析取一个指示器函数在包含可穿透目标的某个样本区域中的支集来实现这种可视化的 ,其中 ,这个指示器函数在可穿透目标的内部和外部有显著不同的取值 .这个算法的一个特别吸引人的性质是不需要关于障碍物的任何几何和物理的先验信息 ,并且只需要散射场在某个有限孔径中若干个入射和测量方向上的远场信息 ,即可得到可穿透目标的一个很理想的可视化 .
An indicator sampling method is proposed for visualizing a three dimensional penetrable obstacle from a knowledge of far field data for time harmonic acoustic scattered waves.The proposed scheme is achieved by extracting the support of an indicator function on a sampling domain containing the penetrable object as a visualization of the unknown object where the indicator function has noticeably different values inside and outside the penetrable object.A particular feature of the scheme is that it does not need any prior knowledge about the geometry and physical properties of the penetrable scatterer.Moreover,its numerical implementation only requires a knowledge of far field data of the scattered fields at a finite number of incidence and observation directions distributed over some limited apertures.Some numerical examples based on synthetic near field data are given showing the practicality and efficiency of the inversion approach.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2002年第9期2038-2051,共14页
Acta Physica Sinica
基金
高等学校全国优秀博士学位论文作者专项基金(批准号 :2 0 0 14 6)
上海市教委曙光计划资助的课题~~
