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arXiv 0802.0575physics.opticsphysics.flu-dyn
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非线性Laser诱导的液-液界面变形:一个Optical Fiber模型

Nonlinear Laser-Induced Deformations of Liquid-Liquid Interfaces: an Optical Fiber Model

Ole Jakob Birkeland, Iver Brevik

摘要:

实验证明,如果系统接近表面张力变小的临界点,连续激光对液-液界面的辐射力能够产生巨大的变形(高达约100μm)。我们提出了一个新的模型,这样的指状变形,这意味着该系统被描述为一个光纤。引入这种模型的一个原因是,在现代实验中,如波尔多小组的实验中,折射率差很小,与光学中实际纤维的折射率差在同一数量级。因此,采用从光纤理论已知的混合HE_{11}模式作为液体系统的基本模式是自然的。我们展示了流体动力学和辐射力之间的平衡如何导致液柱的稳定平衡点。此外,我们还计算了柱半径随深度增加而变窄的情况。与波尔多组的实验结果比较,得到相当令人满意的协议,至于列的宽度。

英文摘要:

Experimentally, it turns out that radiation forces from a cw-laser on a liquid-liquid interface are able to produce giant deformations (up to about 100μm), if the system is close to the critical point where the surface tension becomes small. We present a new model for such a fingerlike deformation, implying that the system is described as an optical fiber. One reason for introducing such a model is that the refractive index difference in modern experiments, such as those of the Bordeaux group, is small, of the same order as in practical fibers in optics. It is natural therefore, to adopt the hybrid HE_{11} mode, known from fiber theory, as the fundamental mode for the liquid system. We show how the balance between hydrodynamical and radiation forces leads to a stable equilibrium point for the liquid column. Also, we calculate the narrowing of the column radius as the depth increases. Comparison with experimental results of the Bordeaux group yields quite satisfactory agreement as regards the column width.

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