有限深层化海洋中的压力脉动点源函数

The Oscillating Pressure Point Source Function in Stratified Ocean of Finite Depth

利用积分变换和本征函数展开法，导出了层化海洋中有限深情形下二维和三维压力脉动源函数的一个更易于分析和数值计算的双线性级数表达式．对二层海情形，源点越接近密跃层，内辐射波越大；若低频或海水显著分层，即使源点离密跃层较远，内辐射波也有可能是显著的，且其振幅可大于自由表面辐射波振幅；低频时在仅对内波感兴趣的情形。

By means of integral transformation and eigenfunction expansion, the solutions of two and three dimensional pressure point source function in stratified ocean of finite depth ave derived and expressed as bilinear eigenfunction expansions, which are more distinct and easier to be treated in numerical computation than others. For two layer fluids mode, this analysis indicates that, the closer to the interface of the two layer fluids the source point, the larger the internal radiation waves; if the oscillating frequency is low or the stratification is significant, the internal radiation wave may be remarkable, and there also exists a possibility that the amplitude of it is larger than that of the free surface radiation wave, even in the case that the source point is not very close to the interface, in the case of low frequency, if one is only interested in the internal waves, the rigid wall assumption on free surface will be suitable.