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研究轴对称二维非均匀介质重建迭代算法的收敛性问题。首先借助于玻恩近似将非线性积分方程线性化,然后,利用玻恩迭代法和变形玻恩迭代法,由散射场数据对轴对称二维非均匀介质进行重建。通过几个例子研究了影响迭代算法收敛性的几种因素,如送代算法本身、积分离散化后的网格划分、正则化方法中的正则化参数选取等。
The convergence problem of two-dimensional inhomogeneous media reconstruction iterative algorithm is studied. First, the nonlinear integral equation is linearized by means of the Born approximation. Then, by using the Born iteration method and the deformed Born iteration method, the two-dimensional non-uniform axisymmetric media is reconstructed from the scattering field data. Several factors that affect the convergence of iterative algorithm are studied by several examples, such as the generation algorithm itself, the grid after integral discretization, and the regularization parameter selection in regularization method.