A diagonalized improved subspace-based optimization method for solving 2-D inverse scattering problems
A diagonalized improved subspace-based optimization method for solving 2-D inverse scattering problems
复制标题
求解二维逆散射问题的对角化改进的基于子空间的优化方法
DOI：
10.1002/mop.30679
复制
发表时间：
2017
影响因子：
1.5
通讯作者：
Liu Qing Huo
中科院分区：
文献类型：
--
作者：
Liu Yulang;Zhao Zhiqin;Zhu Xiaozhang;Yang Wei;Nie Zaiping;Liu Qing Huo
本文通过在改进的子空间优化方法（ISOM）中引入对角逼近，提出了一种对角化的改进的子空间优化方法（DISOM）。在衬度源反演中采用的对角近似中，用对角算子代替全衬度反演中的非线性算子，将场和感应电流联系起来。由于对角逼近，得到一个更简化的目标函数。从而简化了迭代过程，减少了计算时间。数值算例表明，该方法不仅能重建各向同性物体，而且能重建单轴各向异性物体。此外，重建结果的质量几乎是相同的，通过使用ISOM，而DISOM节省约四分之一的计算时间。
This letter proposes a diagonalized improved subspace‐based optimization method (DISOM) by introducing the diagonal approximation to the improved subspace‐based optimization method (ISOM). In the diagonal approximation which has been used in the contrast source inversion, a diagonal operator is used to replace the nonlinear operator of full contrast inversion and relates the fields and induced currents. Due to the diagonal approximation, a more simplified objective function is obtained. Consequently, the iteration procedure is simplified and the computation time is reduced. Numerical examples demonstrate that the proposed DISOM has the capability of reconstructing not only isotropic objects but also uniaxial anisotropic objects. Furthermore, the quality of the reconstruction results obtained by DISOM is almost the same as the ones by utilizing ISOM, while DISOM saves about one fourth of the computational time.