The Scattering of Sound from the Sea Surface
The Scattering of Sound from the Sea Surface
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DOI：
10.1121/1.1907123
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发表时间：
1953-05
影响因子：
2.4
通讯作者：
C. Eckart
中科院分区：
文献类型：
--
作者：
C. Eckart
假设海面方程为z = ζ（xyt），时间平均值Φ =<ζ（x 'y't）ζ（x ″ y ″ t）>仅是ξ = x″-x'，η = y″-y '的函数。长波声波的散射系数被计算并显示为σ =（c2 k2/4π）2 <$$> Φ（η）exp[−ik（a +Bη）]d <$dη，其中2π/k是声波的波长，a，B，c分别是入射和散射射线的x，y，z方向余弦的总和。对于短波声音，公式更复杂，但与声音的波长无关，因为它应该是。然而，它表明，实验与短波产生的信息少得多的海面比那些与长波。这是不幸的，因为后者的实验比前者困难得多。
It is assumed that the equation of the sea surface is z = ζ(xyt), and that the time average Φ = 〈ζ(x′y′t)ζ(x″y″t)〉 is a function only of ξ = x″ − x′, η = y″ − y′. The scattering coefficient of long‐wave sound is calculated and shown to be σ = (c2k2/4π)2∫∫Φ(ξη) exp[−ik(aξ+bη)]dξdη, where 2π/k is the wavelength of the sound, and a, b, c are, respectively, the sum of the x, y, z direction cosines of the incident and scattered rays. For short‐wave sound, the formula is more complicated, but independent of the wavelength of the sound, as it should be. However, it is shown that experiments with short waves yield much less information about the sea surface than do those with long waves. This is unfortunate, since the latter experiments are much more difficult than the former.