We calculated the scalar wave scattering by an infinitely long circular cylinder on or near a planar substrate. Our calculation is based on a rigorous theoretical solution. We present the angular distributions of the scattered and the transmitted waves due to the cylinder and those of the reflected and the transmitted waves due to the planar substrate. The numerical simulations show the importance of higher order multiple scattering when the cylinder is located close to the substrate. The simulation results are applicable to the general case because they are not restricted by the physical and the geometrical natures of the cylinder and the planar substrate.

中文翻译：

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平面基板上圆柱体的标量波散射：数值模拟

我们计算了平面基板上或附近无限长圆柱体的标量波散射。我们的计算基于严格的理论解决方案。我们展示了由于圆柱体引起的散射和透射波的角度分布以及由于平面基板引起的反射和透射波的角度分布。数值模拟显示了当圆柱体靠近基板时高阶多次散射的重要性。模拟结果适用于一般情况，因为它们不受圆柱和平面基板的物理和几何性质的限制。