Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted born iterative method
Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted born iterative method
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DOI：
10.1109/36.905242
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发表时间：
2001-02-01
影响因子：
8.2
通讯作者：
Chen, SY
中科院分区：
文献类型：
--
作者：
Cui, TJ;Chew, WC;Chen, SY
提出了一种基于变形玻恩迭代法（DBIM）的二维介质目标介电常数和电导率反演算法。该算法在气-地界面上采集多个发射点和接收点的单频测量数据。在迭代最小化方案中考虑了由于像素到像素和像素到空气-地球界面的多次散射而引起的非线性。在每次迭代中，选择共轭梯度（CG）方法来求解线性化问题，这使得正向求解器的调用次数最小。为了减少计算时间，本文采用CG法和快速傅里叶变换（FFT）相结合的方法实现了埋地介质目标的正演求解。数值算例表明了算法的收敛性、稳定性和容错性。
An efficient inverse-scattering algorithm is developed to reconstruct both the permittivity and conductivity profiles of two-dimensional (2-D) dielectric objects buried in a lossy earth using the distorted Born iterative method (DBIM), In this algorithm, the measurement data are collected on (or over) the air-earth interface for multiple transmitter and receiver locations at single frequency. The nonlinearity due to the multiple scattering of pixels to pixels, and pixels to the air-earth interface has been taken into account in the iterative minimization scheme. At each iteration, a conjugate gradient (CG) method is chosen to solve the linearized problem, which takes the calling number of the forward solver to a minimum. To reduce the CPU time, the forward solver for buried dielectric objects is implemented by the CG method and fast Fourier transform (FFT), Numerous numerical examples are given to show the convergence, stability, and error tolerance of the algorithm.