| 一维波动方程的近似解及其在浅海声场计算中的应用 |
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| 引用本文： | 唐应吾.一维波动方程的近似解及其在浅海声场计算中的应用[J].地球物理学报,1987,30(3):271-280. |
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| 作者姓名： | 唐应吾 |
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| 作者单位： | 中国科学院声学研究所北站, 青岛 |
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| 摘 要： | 本文给出一维波动方程的一组近似解,它具有WKB解的简洁性,但又克服了WKB解在反转点附近发散的困难。文中用其结果计算了具有粗糙界面的负声速梯度浅海中的简正波声场。
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| 关 键 词： | 一维波动方程 WKB近似 反转点 频散方程 衰减系数 简正波场 |
| 收稿时间： | 1985-03-13 |
APPROXIMATE SOLUTIONS OF ONE-DIMENSIONAL WAVE EQUATION AND THEIR APPLICATION TO CALCULATION OF SHALLOW-WATER SOUND FIELD |
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| TANG YING-WU.APPROXIMATE SOLUTIONS OF ONE-DIMENSIONAL WAVE EQUATION AND THEIR APPLICATION TO CALCULATION OF SHALLOW-WATER SOUND FIELD[J].Chinese Journal of Geophysics,1987,30(3):271-280. |
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| Authors: | TANG YING-WU |
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| Institution: | North Station, Institute of Acoustics, Academia Sinica, Qingdao |
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| Abstract: | In this paper, a pair of approximate solution of one-dimensional wave equation are obtained. The solutions not only have concise form of WKB solutions but also are freed from the divergent difficulty at the turning point. The sound field of normal modes in the. shallow-water having negative velocity gradient and rough interface are calculated using such results. |
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| Keywords: | One-dimensional wave equation WKB approximation Turning point Dispersion equation Attenuation coefficient Normal wave field |
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