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Outer wave number spectrum and statistical distribution of apparent wave number vector

机译：外波数谱和视波数矢量的统计分布

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摘要

Based on the ray theory and Longuet-Higgins's linear model of sea waves, the joint distribution of wave envelope and apparent wave number vector is established. From the joint distribution, we define a new concept, namely the outer wave number spectrum, to describe the outer characteristics of ocean waves. The analytical form of the outer wave number spectrum, the probability distributions of the apparent wave number vector and its components are then derived. The outer wave number spectrum is compared with the inner wave number spectrum for the average status of wind-wave development corresponding to a peakness factor P=3. Discussions on the similarity and difference between the outer wave number spectrum and inner one are also presented in the paper.
机译：基于射线理论和Longuet-Higgins的海浪线性模型，建立了波包络和视在波数矢量的联合分布。根据联合分布，我们定义了一个新概念，即外波数频谱，以描述海浪的外在特征。然后推导出外波数谱的解析形式，视波数矢量的概率分布及其分量。将外波数频谱与内波数频谱进行比较，以求出对应于峰值因子P = 3的风波发展的平均状态。本文还讨论了外波数谱与内波谱之间的相似性和差异。

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