Full-wave three-dimensional microwave imaging with a regularized gauss-newton method-theory and experiment
Full-wave three-dimensional microwave imaging with a regularized gauss-newton method-theory and experiment
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DOI：
10.1109/tap.2007.908824
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发表时间：
2007-11-01
影响因子：
5.7
通讯作者：
Geffrin, Jean-Michel
中科院分区：
文献类型：
--
作者：
De Zaeytijd, Juergen;Franchois, Ann;Geffrin, Jean-Michel
详细介绍了一种基于牛顿型优化的三维全矢量微波成像重建算法。我们的目标是重建的三维复介电常数的散射体在均匀的背景下，从一些时间谐波散射场测量。该算法结合了改进的高斯-牛顿优化方法与计算效率高的正向求解器，基于快速傅里叶变换方法和步进源位置外推程序。通过对最小二乘数据拟合应用乘加性正则化，提出了正则化代价函数。这种方法减轻了测量噪声对重建的影响，并有效地处理了优化问题的非线性。进一步证明了改进的Gauss-Newton方法比Broyden-Fletcher-Gold-farb-Shanno拟牛顿方法收敛快得多。有前途的定量重建从模拟和实验数据。后者的数据是由法国马赛的菲涅尔研究所提供的双基地极化自由空间测量。
A reconstruction algorithm is detailed for three-dimensional full-vectorial microwave imaging based on Newton-type optimization. The goal is to reconstruct the three-dimensional complex permittivity of a scatterer in a homogeneous background from a number of time-harmonic scattered field measurements. The algorithm combines a modified Gauss-Newton optimization method with a computationally efficient forward solver, based on the fast Fourier transform method and the marching-on-in-source-position extrapolation procedure. A regularized cost function is proposed by applying a multiplicative-additive regularization to the least squares datafit. This approach mitigates the effect of measurement noise on the reconstruction and effectively deals with the non-linearity of the optimization problem. It is furthermore shown that the modified Gauss-Newton method converges much faster than the Broyden-Fletcher-Gold-farb-Shanno quasi-Newton method. Promising quantitative reconstructions from both simulated and experimental data are presented. The latter data are bi-static polarimetric free-space measurements provided by Institut Fresnel, Marseille, France.