Multifrequency generalization of the Novikov algorithm for the two-dimensional inverse scattering problem
Multifrequency generalization of the Novikov algorithm for the two-dimensional inverse scattering problem
复制标题
二维逆散射问题诺维科夫算法的多频推广
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
O. D. Rumyantseva
中科院分区：
文献类型：
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作者：
V. Burov;N. Alekseenko;O. D. Rumyantseva
研究了用改进的诺维科夫算法重建二维折射吸收散射体的过程。将该算法推广到多频模式。在求解过程中，利用先验已知的散射函数的频率依赖关系，将不同频率下获得的散射数据组合在一起，得到了单频版本中所没有的约束方程。结果表明，在单频模式下，在强散射体中观测到的重建不稳定性问题可以通过多频模式消除。多频模式下的散射体估计质量明显高于直接平均单频解得到的估计质量。该算法具有较高的抗干扰性，可以在实际中应用。
The process of reconstruction of two-dimensional refractive-absorbing scatterers by the modified Novikov algorithm is considered. A generalization of this algorithm to the multifrequency mode is proposed. The scattering data obtained at different frequencies are combined in the process of the solution using the a priori known frequency dependence of the scatterer function, which yields the constraint equations that are absent in the single-frequency version. It is shown that the problem of reconstruction instability observed in strong scatterers in the single-frequency mode can be removed by the multifrequency mode. The quality of the scatterer estimate in the multifrequency mode is significantly higher than that of the estimate obtained by straightforwardly averaging the single-frequency solutions. Interference resistance of the algorithm is sufficiently high to allow its application in practice.