Solution of the three-dimensional acoustic inverse scattering problem. The modified Novikov algorithm
Solution of the three-dimensional acoustic inverse scattering problem. The modified Novikov algorithm
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DOI：
10.1134/s1063771008030172
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发表时间：
2008-05-01
影响因子：
0.8
通讯作者：
Rumyantseva, O. D.
中科院分区：
文献类型：
--
作者：
Alekseenko, N. V.;Burov, V. A.;Rumyantseva, O. D.
首次采用单色泛函分析Novikov算法对不同强度和尺寸的三维散射体模型进行了数值重建。该算法考虑到多个散射过程，并没有对散射体强度施加严格的约束。在散射体的空间谱的宽度被限制在具有大约2k（0）的半径的区域之后，所得到的散射体估计接近真实值。算法的噪声鲁棒性，即，对实验数据中的随机误差的鲁棒性对于诊断应用是足够高的。然而，该算法所需的数值运算量是有限的。
For the first time, three-dimensional model scatterers of various strengths and size are numerically reconstructed on the basis of the monochromatic functional-analytical Novikov algorithm. The algorithm allows for the multiple scattering processes and does not impose stringent constraints on the scatterer strength. The resulting scatterer estimate approaches the true value after the width of the scatterer's spatial spectrurn is restricted to a region with a radius of about 2k(0). The noise robustness of the algorithm, i.e., the robustness to random errors in experimental data, is sufficiently high for diagnostic applications. However, the amount of numerical operations required by the algorithm is areat.