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Separation of free and bound harmonics in waves

机译：波中自由谐波和束缚谐波的分离

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Free and bound (phase-locked) waves with the same frequency cannot be distinguished simply in a frequency domain. A1 -Hz wave propagating over a submerged rectangular step was physically investigated and used to generate higher free and bound harmonic components in waves. The time history of a 3.28 m surface profile above the submerged step was measured and analyzed using two-dimensional Fourier Transform and Morlet wavelet transform sequentially. Incident and reflected waves as well as the associated free and bound components of each harmonic (through the 3th harmonic) were separated successfully. The spatial phase information of the 2nd free-mode and bound-mode harmonics were obtained which gave a good physical explanation of amplitude recurrence. It was observed that wave lengths of harmonics vary in space and phase shift occurs as the 1 st harmonic catches up the 2nd free-mode harmonic. It was also found that the 2nd free-mode harmonic gained more energy from the 1st harmonic before entering deep water.
机译：不能简单地在频域中区分具有相同频率的自由波和束缚（锁相）波。对在水下矩形台阶上传播的1-Hz波进行了物理研究，并用于在波中生成更高的自由和束缚谐波分量。依次使用二维傅里叶变换和Morlet小波变换对淹没步骤上方3.28 m表面轮廓的时程进行了测量和分析。成功分离了每个谐波的入射波和反射波以及相关的自由分量和束缚分量（通过三次谐波）。获得了二次自由模态和束缚模态谐波的空间相位信息，这为幅度递归提供了很好的物理解释。可以看到，谐波的波长在空间中变化，并且随着一阶谐波赶上二阶自由模式谐波，会发生相移。还发现，二次自由模式谐波在进入深水之前从一次谐波中获得了更多的能量。

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