| 均匀介质n维随机波动的空间结构 |
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| 引用本文： | 吴克俭,孙孚,宋金宝.均匀介质n维随机波动的空间结构[J].海洋学报,1998(2). |
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| 作者姓名： | 吴克俭 孙孚 宋金宝 |
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| 作者单位： | 青岛海洋大学物理海洋研究所，青岛海洋大学物理海洋实验室 |
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| 摘 要： | 研究了均匀介质中ｎ维随机波动的空间结构．导出了外观振幅、波数和相位的联合分布，据此分布，所有与空间有关的波要素的统计分布皆可导出．定义了外观波数谱并得到了其平衡区指数的上界为一（ｎ＋２）．二维时，海浪外观波数谱平衡区指数的上界与Ｐｈｉｌｌｉｐｓ通过动力学分析导出的Ｆｏｕｒｉｅｒ波数谱平衡区指数完全一样。
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| 关 键 词： | 随机波动，空间结构，外观波数谱 |
Spatial structures of n-dimensional random wavesin homogeneous media |
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| Wu Kejian,Sun Fu,Song Jinbao . InstituteofPhysicalOceanography,OceanUniversiytofQingdao,Qingdao .PhysicalOceanographyLaboratory,OceanUniversityof Qingdao,Qingdao.Spatial structures of n-dimensional random wavesin homogeneous media[J].Acta Oceanologica Sinica (in Chinese),1998(2). |
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| Authors: | Wu Kejian Sun Fu Song Jinbao InstituteofPhysicalOceanography OceanUniversiytofQingdao Qingdao PhysicalOceanographyLaboratory OceanUniversityof Qingdao Qingdao |
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| Institution: | Wu Kejian,Sun Fu,Song Jinbao 1. InstituteofPhysicalOceanography,OceanUniversiytofQingdao,Qingdao 266003 2.PhysicalOceanographyLaboratory,OceanUniversityof Qingdao,Qingdao 266003 |
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| Abstract: | This study is concerned with the spatial structures of n-dimensional random waves in homoge- neous media. The joint probability distribution of apparent amplitude, wave number and phase is derived. Based on this joint distribution, we define the apparent wave number spectrum and derive that the upper limit of the equilibrium range exponent of this spectrum is - (n 2) . In case of 2-dimension, the upper limit of the equilibrium range exponent of the apparent wave number spectrum is consistent with the equilibrium range exponent of the Fourier wave number spectrum derived from dynamics. |
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| Keywords: | Random waves spatial structure apparent wave number spectrum |
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