In this article, an efficient algorithm for the reconstruction of a 1-D random rough surface profile separating two lossy dielectric half-spaces is presented. First, the general scattering problem is formulated by the use of surface integral equations (SIEs). Then, the synthetic scattering field data are obtained through the use of these conventional SIEs. In the inverse problem, the same SIEs together with the data equation are solved in an iterative fashion to reconstruct the surface variation. In the numerical implementation, the so-called ill-posed inverse problem is regularized in the sense of Tikhonov, and a least squares solution is obtained by the use of appropriate basis functions. A very detailed numerical assessment of the presented approach is provided which shows that the method is very effective and promising.

中文翻译：

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用于分离两种介电介质的粗糙表面成像的迭代算法

在本文中，提出了一种用于重建分隔两个有损介电半空间的一维随机粗糙表面轮廓的有效算法。首先，一般散射问题是通过使用表面积分方程 (SIE) 来表述的。然后，通过使用这些常规 SIE 获得合成散射场数据。在逆问题中，相同的 SIE 连同数据方程以迭代方式求解，以重建表面变化。在数值实现中，对所谓的不适定逆问题进行了季洪诺夫意义上的正则化，通过使用适当的基函数得到最小二乘解。提供了对所提出方法的非常详细的数值评估，这表明该方法非常有效和有前途。