Formation mechanism of coherent rainbows II
Formation mechanism of coherent rainbows II
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DOI:
10.7498/aps.71.20220455
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发表时间:
2022
影响因子:
1
通讯作者:
Shi Ting-ting;Qian Xuan;Shang Ya-Xuan;Ji Yang
中科院分区:
文献类型:
--
作者:
Shi Ting-ting;Qian Xuan;Shang Ya-Xuan;Ji Yang
Focus white light laser into liquids, and "coherent rainbows" show up, namely, colorful interference rings with different shapes. The formation mechanism of such coherent rainbows is the following. The laser heating changes the local temperature distribution of the liquid, which affects the refractive index locally and thus the optical path difference, i.e., thermal lens effect which may cause the laser to go off at large angles. The curvature of the laser wavefront and the convection and bubbles in the liquid also play some roles, as reported here. The wave front curvature results in the asymmetry of the coherent rainbows near the focal point because the wave front curvature in front of the focal point is negative and the wave front curvature at behind of the focal point is positive. The coherent rainbow has an oval shape with up-down asymmetry because convection in the locally heated liquid leads to an asymmetric temperature distribution. We construct a function including wave front curvature and thermal lens effect and obtain the relationship between the size of the coherent rainbows and the position of the sample. As a result of the liquid instability induced by the laser heating, the temperature distribution in the liquid is no longer axisymmetric, thus, the focal lengths of the transverse and longitudinal thermal concave lens are no longer the same. The fitting results agree well with the experimental observations that the coherent rainbows change faster (slower) in front of (behind) the focal point and the longitudinal and transverse dimensions of the coherent rainbows are different. Many tiny bubbles are generated in water at the center of the laser beam, forming a local "black barrier" which explains the observation that there are diffraction rings and Poisson-type bright spot in the dark area of the coherent rainbows. The coherent rainbows have been observed in many liquids where the shape and number of rings of coherent rainbows depend on liquid properties such as density, viscosity and thermal conductivity.