直接反演非均匀介质柱的一种新方法

A New Direct Method for the Reconstruction of Inhomogeneous Dielectric Cylinders

以往对介质柱的反演基本上都是采用这代优化方法，非常耗时。本文从电磁散射的积分方程出发结合矩量法提出一种直接反演二维非均匀介质柱的方法，即由散射场的测量值，无需迭代或优化而直接反演出介质柱的介电特性参数分布。通过引入正则化方法来改善解的稳定性。理论分析和模拟计算都表明，本文提出的方法计算量小且一般情况下有较高的精度和稳定性。

In this paper, a new direct reconstruction method is presented for the analysis ofinvetse scattering problems of inhomogeneous dielectric cylinders. The integral equations for electromagnetic scattering are discretized by the moment method, and then the dielectric constant distribution of the dielectric cylinder is directly obtained without iteration or optimization procedure. Thestability of the solution is improved by the Tiknonov's regularization method. The computing timeis greatly saved compared with iterative methods. Theoretical analysis and numerical simulationsverified the validity of this technique.