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WAVE DIFFRACTION THROUGH A GAP IN A BREAKWATER OF NON-ZERO THICKNESS

机译:通过间隙在非零厚度的防波堤中传播

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摘要

We consider the diffraction of a prescribed train of monochromatic plane surface water waves incident on a vertical-sided, perfectly reflecting thick breakwater standing on a horizontal bed in water of uniform undisturbed depth, and containing a single gap. The corresponding linearised boundary value problem is reduced to a pair of uncoupled first kind integral equations which display a particular structure; embedding formulae are then derived for a general integral equation of the type encountered. Within the context of the diffraction problem, the embedding result gives the solution for any incident wave angle explicitly in terms of the solutions for any two other distinct angles.
机译:我们考虑入射在垂直面上的单色平面水波的预定列的衍射,该水波完美地反射了厚厚的防波堤,该防波堤站在水平床上,且水深均匀,并具有单个间隙。相应的线性化边值问题被简化为一对显示特定结构的第一类积分方程。然后为遇到的这种类型的一般积分方程推导嵌入公式。在衍射问题的背景下,嵌入结果根据任何其他两个不同角度的解明确给出了任何入射波角的解。

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