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Study of inverse scattering for one-dimensional permittivity profiles

机译:一维介电常数分布的逆散射研究

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A numerical method to invert the dielectric permittivity -profile from the Riecati equation using the Newton-Kantorovich iterative soheme has been described. Instead of handling the equations; in terms of usual geometrical depth, we determine the piofile as a function of the electromagnetic path length since the convergence and the stability of the solution are fblind to be significantly better in this case. The approach is applicable to both coiitinuouls and discontinuous profiles of high contrast and exhibits a good stability offthe solution with resect to noisy input data. A lossy niedijita profile can also be inverted provided the overall thickness* of the inhomogeneous slab and, the background permittivity are knc^wn. When the thickness of the inhomogeneous layer and the background permittivity are; assumed to be known, the permittivity profile is; reconstructed accurately whereas for the conductivity profile the method yields qualitative reconstruction.
机译:已经描述了一种使用牛顿-坎托罗维奇迭代方程从里卡蒂方程中求反介电常数分布的数值方法。而不是处理方程式;根据通常的几何深度,我们将piofile确定为电磁路径长度的函数,因为在这种情况下,解决方案的收敛性和稳定性被明显地改善了。该方法适用于高对比度的不连续轮廓和不连续轮廓,并且对噪声输入数据具有良好的稳定性。如果不均匀平板的总厚度*和背景介电常数为knc ^ wn,也可以反转有损耗的niedijita轮廓。当不均匀层的厚度和背景介电常数相等时;假设已知,介电常数分布为;可以精确地重建,而对于电导率剖面,该方法可以进行定性重建。

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