A Diagonal Subspace-Based Optimization Method for Reconstruction of 2-D Isotropic and Uniaxial Anisotropic Dielectric Objects
A Diagonal Subspace-Based Optimization Method for Reconstruction of 2-D Isotropic and Uniaxial Anisotropic Dielectric Objects
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DOI：
10.1109/lgrs.2017.2710999
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发表时间：
2017-06
影响因子：
4.8
通讯作者：
Yulang Liu;Zhiqin Zhao;Xiaozhang Zhu;Wei Yang;Z. Nie;Q. Liu
中科院分区：
文献类型：
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作者：
Yulang Liu;Zhiqin Zhao;Xiaozhang Zhu;Wei Yang;Z. Nie;Q. Liu
在这封信中，对角线近似已被引入到基于子空间的优化方法（SOM）的框架，以减少计算复杂度。由于这种近似，将电场与等效电流之间的关系由全波反演中的非线性算子变为对角算子。因此，该方法被命名为对角SOM（DSOM）。与原始SOM相比，DSOM具有更简化的目标函数和更少的计算量。数值算例表明，DSOM不仅可以求解各向同性目标的逆散射问题，而且可以求解单轴各向异性目标的逆散射问题。此外，DSOM提供的重建结果，是使用SOM获得的质量相媲美，但计算量少得多。
In this letter, a diagonal approximation has been introduced in the framework of subspace-based optimization method (SOM), for reducing computational complexity. Due to this approximation, the operator which relates the electric field and equivalent current becomes a diagonal one, instead of the nonlinear one in full-wave inversion. Consequently, the proposed method is named as diagonal SOM (DSOM). Compared with the original SOM, DSOM has a more simplified objective function with much less computational cost. DSOM can be applied for solving inverse scattering problems involving not only isotropic objects, but also uniaxial anisotropic objects, which is demonstrated by numerical examples. Furthermore, DSOM provides reconstruction results that are comparable in quality to the ones obtained using SOM, but with much less computation load.