Journal
SENSORS AND ACTUATORS A-PHYSICAL
Volume 257, Issue -, Pages 113-117Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.sna.2017.02.020
Keywords
Tunable liquid lenses; Aberration compensation; Active or adaptive optics; Micro-optical devices; Sensor design
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Flexible membranes have applications in liquid filled lenses and pressure sensors. They deform under hydrostatic pressure, thus changing the asphericity of the lens and its focal length. This behavior enables tuning of the lens by changing the pressure of the fluid inside. A universal form of the nonlinear differential equations describing the deformation of a flexible membrane is presented here, showing that their solution is valid for membranes having the same thickness to radius ratio and made of materials having the same flexural rigidity and Poisson ratios. Hence by solving the equations once, a simple scaling allows obtaining a set of solutions that matches these ratios. This should simplify the design of tunable lenses and pressure sensors based on flexible membranes. In addition, approximate analytic solutions are presented in a normalized form. (C) 2017 Elsevier B.V. All rights reserved.
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