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研究了用声传播远场分布信息来成像海洋波导环境中三维可穿透目标的反问题.建立了求解这类反问题的远场方程,基于内透射边界值问题的分析,讨论了远场方程解的唯一性和可解性,证明了总能找到远场方程的一个在最小平方意义下的近似解,其模在可穿透目标内部的取值是小的,而在外部的取值是大的,进而发展了一种快速成像可穿透目标的一种指示器样本方法.数值试验表明了这种方法是有效的,即使在有限孔径测量方式的情况,也能够得到未知目标的一个理想成像,而且不需要先验知道可穿透目标的任何几何与物理信息.
The inverse problem of imaging the three-dimensional penetrable targets in ocean waveguide environment by using the information of far-field propagation by acoustic propagation is studied. The far-field equation for solving such inverse problems is established. Based on the analysis of the boundary-value problem of the inner transmission, the far-field equation The uniqueness and solvability of the solution prove that an approximate solution of the far-field equation can always be found in the least square sense. The value of the module inside the penetrable object is small, while the value of the outside is Large, and then developed a rapid imaging through the target of a pointer sample method.Numerical experiments show that this method is effective, even in the case of limited aperture measurement can also be an ideal target unknown Imaging without any prior knowledge of any geometric or physical information that can penetrate the target.