The Kirchhoff approximation (K-A) to calculate the acoustic backscattering of a complex structure can be evaluated using a discretized version of its surface (i.e, a mesh). From the computational viewpoint, the most handy approach is the one based on flat facets. However, in the high-frequency range, where the K-A provides good agreement and is therefore applicable, it requires a mesh with such a large number of facets that it turns impractical. To avoid these difficulties, a mesh of curved triangles can be used to model the scatterer’s complex structure. Previous computational implementations reported in the literature did not accomplish satisfactory results for high frequency. In this work, we propose a numerical model based upon an iterative integration using Gauss–Legendre rules. The model was validated against exact solutions and led us to achieve adequate results in the high-frequency range.

中文翻译：

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使用基尔霍夫近似对曲面网格的高频后向散射进行建模

可以使用其表面的离散版本（即网格）来评估用于计算复杂结构的声学反向散射的基尔霍夫近似 (KA)。从计算的角度来看，最方便的方法是基于平面的方法。然而，在高频范围内，KA 提供了良好的一致性并因此适用，它需要具有如此多面的网格，以至于它变得不切实际。为了避免这些困难，可以使用弯曲三角形网格来模拟散射体的复杂结构。文献中报道的以前的计算实现在高频方面没有取得令人满意的结果。在这项工作中，我们提出了一个基于使用 Gauss-Legendre 规则的迭代积分的数值模型。