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本文把变形玻恩迭代方法用于求解二维轴对称道散射问题．该方法提供一种迭代收敛较快的反演成像算法．利用对称轴上２０ｋＨｚ电场的测量值在二维非均匀介质中对电导率分布进行反演．首先给出对于未知电导率分布的非线性积分方法．并用玻恩近似使积分方程线性化．然后用古洪诺夫正则化方法求出电导率分布．在选代过程中，数值模式匹配法用于求解正演场．数值实例表明，用简单的对称轴上测量场能得到很好的成像结果．
In this paper, the modified Born iteration method is used to solve the two-dimensional axisymmetric tract scattering problem. This method provides a fast inversion algorithm for iterative convergence. The conductivity distribution was inverted in a two-dimensional inhomogeneous medium using measurements of an electric field of 20 kHz on the axis of symmetry. First of all, the nonlinear integral method for the unknown conductivity distribution is given. And using Born approximation integral equation linearization. Then the Conhonov regularization method was used to determine the conductivity distribution. During the substitution process, the numerical pattern matching method is used to solve the forward field. Numerical examples show that using a simple symmetry axis measurement field can get good imaging results.