全浸垂直板垂向振动引起的横浪
Cross-waves induced by the vertical oscillation of a fully immersed vertical plate
摘要：
利用时间分辨的表面形貌测量方法，分析了空气-水界面下细长薄板垂直振动激发的毛细波。一个参数的不稳定性被观察到一个明确的加速度阈值以上，导致在所谓的交叉波，一个交错的波图案定位附近的造波机和振荡的一半强迫频率。该交叉波沿造波机静止但远离其传播，被描述为与造波机边缘形成$20^\mathrm{o}$量级的小角度的两个几乎反平行传播的参数波的叠加。这与经典的法拉第参数波形成对比，因为强迫的均匀性，法拉第参数波是完全平稳的。我们的观察表明，交叉波角的选择结果从两个参数波之间的共振机制和特征长度的表面变形以上的造波机。
英文摘要：
Capillary waves excited by the vertical oscillations of a thin elongated plate below an air-water interface are analyzed using time-resolved measurements of the surface topography. A parametric instability is observed above a well defined acceleration threshold, resulting in a so-called cross-wave, a staggered wave pattern localized near the wavemaker and oscillating at half the forcing frequency. This cross-wave, which is stationary along the wavemaker but propagative away from it, is described as the superposition of two almost anti-parallel propagating parametric waves making a small angle of the order of $20^\mathrm{o}$ with the wavemaker edge. This contrasts with the classical Faraday parametric waves, which are exactly stationnary because of the homogeneity of the forcing. Our observations suggest that the selection of the cross-wave angle results from a resonant mechanism between the two parametric waves and a characteristic length of the surface deformation above the wavemaker.
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