中文摘要：

圆柱地分层的媒介的重建在这篇文章被调查。反的问题作为发生与一系列圆柱的波浪用一个来源类型积分方程被建模，并且一个常规出生的反复的过程为解决不可分的方程被修改。在修改反复的过程，为在媒介内的地的计算的常规单个点的近似被 multi-points 近似代替改进它的答案的数字稳定性。为不同介电常数分布的数字模拟与过程以人工的散布数据被表明。结果证明过程在数字计算享受精确性和稳定性。

英文摘要：

Abstract The reconstruction of cylindrically layered media is investigated in this article. The inverse problem is modeled using a source-type integral equation with a series of cylindrical waves as incidences, and a conventional Born iterative procedure is modified for solving the integral equation. In the modified iterative procedure, a conventional single-point approximation for the calculation of the field inside media is replaced by a multi-points approximation to improve the numerical stability of its solution. Numerical simulations for different permittivity distributions are demonstrated in terms of artificial scattering data with the procedure. The result shows that the procedure enjoys both accuracy and stability in the numerical computation.