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本文将既适用于平面笛卡尔直角坐标系又适用于球面坐标系的基本式同文献[16]中的波向线方程结合,导出波群的波向线散开因子方程。由此方程解出的散开因子是波群组成波的波要素的函数。据此因子连同浅水系数和摩擦系数就可求得波群的波动强度或波高沿波向线的变化。在一定条件下,所导得的方程便分别化为形同于相应坐标系中单频率波的。 所讨论的波群的折射是唯一地由水深变浅所致的。 根据线性势论,得到由波数、波向和频率都彼此稍异的两系正弦波迭加而成的简单波群,海洋中的波群虽较这复杂得多,但两者本质上是相同的。故所提方程可作为计算浅水域中波群的折射系数的模式。
In this paper, the wave-line dispersion factor equations of wave groups are derived by combining the wave-line equations which are both applicable to Cartesian Cartesian and Cartesian coordinate systems. The scatter factor solved by this equation is a function of the wave components of the wave component. According to this factor, along with the shallow water coefficient and the friction coefficient, the wave intensity of the wave group or the change of wave height along the wave line can be obtained. Under certain conditions, the resulting equations are respectively transformed into single-frequency waves in the same coordinate system. The refraction of the wave group in question is uniquely due to a shallow water depth. According to the linear potential theory, a simple wave group obtained by superposing two series of sinusoidal waves whose wave numbers, wave directions and frequencies are slightly different from each other is obtained. Although the wave groups in the ocean are much more complicated than these, the two are essentially the same of. Therefore, the proposed equation can be used as a model to calculate the refractive index of wave groups in shallow waters.