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负梯度浅海中的简正波声场

THE NORMAL MODE SOUND FIELD IN SHALLOW-WATER HAVING NEGATIVE GRADIENT

  • 摘要: 本文讨论简谐点源在负梯度浅海中的声场,文中假定海水声速是随深度单调减小的缓变函数,无需给出具体的函数形式。我们导出了简正波的极点方程与振幅函数的近似表达式,这些公式应用于具体问题容易获得数值解。简正波群速与指数衰减系数的计算公式也具有十分简单的形式,并得到较好的几何解释。

     

    Abstract: The Sound field of a harmonic point source in shallow-water having negative gradient of sound velocity was treated. A monodecreasing sound velocity of sea water was assumed, and the concret form of velocity-depth function was not restricted. Dispersion equation and amplitude of normal modes were derived. From these the numerical solution of a concret problem was easily obtained. The group velocity and attenuation coefficient of normal mode have the simple form, and a better geometrical interpretation may be obtained.

     

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