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Calculation of nonlinearly deformed membrane shape of liquid lens caused by uniform pressure

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Abstract

The paper discusses a numerical calculation of deformation of a circular axisymmetric membrane of a liquid lens caused by the pressure of an optical liquid. Since such deflections of the membrane are many times larger than the membrane thickness, a nonlinear model is applied and generalized relationships are derived that characterize the resulting shape with a high precision and permit an accurate analysis of imaging properties of the lens and of optical aberrations. By comparison with experimental data, it is shown that the presented model is suitable to describe the deformation of the membrane of the lens.

© 2017 Optical Society of America

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