Complementary Approximations to the Solution of a Problem in Water Waves
Complementary Approximations to the Solution of a Problem in Water Waves
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DOI：
10.1093/imamat/10.1.1
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发表时间：
1972-08
影响因子：
1.2
通讯作者：
D. Evans;C. Morris
中科院分区：
文献类型：
--
作者：
D. Evans;C. Morris
表面波入射到两个垂直平行的障碍物上，这些障碍物浸没在无限深的水面下的给定深度上。这个问题有一个精确但复杂的解决办法。推导出较简单的反射系数的互补近似，计算起来比较容易。我们发现这些近似对于所有波长都是非常好的，只要隔离与势垒深度的比率不是太小。结果表明，对于入射波发生全反射的每种势垒构型，都存在一定的波长。
A surface wave is incident upon two vertical parallel barriers immersed to a given depth beneath the surface of water of infinite depth. The problem has an exact but complicated solution. Simpler complementary approximations to the reflection coefficient are derived which may be computed easily. These approximations are found to be very good for all wavelengths provided the ratio of separation to depth of the barrier is not too small. It is shown that there exist certain wavelengths for each barrier configuration for which total reflection of the incident wave occurs.