The interface shape of the double-liquid lens |
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| Authors: | Runling Peng Zhiwei HuJiabi Chen Songlin Zhuang |
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| Affiliation: | School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, No. 516, Jun Gong Road, Yangpu District, 200093 Shanghai, China |
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| Abstract: | In this article, a differential equation, which describes the shape of the liquid interface in a cylindrical chamber when the density difference of two liquids is zero, is provided. And an analytical solution is found for the differential equation which indicates the interface shape is spherical. And such a result is not independent on the vessel size. In experiment, by means of measuring the focal lengths of liquid lenses with different vessel size, the results show that the focal lengths ratio is quite approximate to the inner radius ratio of the cylindrical chamber, which can inversely verifies that the interface shape of liquid lens with two same density liquids is spherical. |
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| Keywords: | Double-liquid lens Density difference Vessel size Interface shape |
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