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Optical Engineering

Simplified model of an O-ring-driven liquid-filled lens for calculating focal length
Author(s): Chih-Wei Lin; Dein Shaw
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Paper Abstract

The purpose of this study was to develop a mathematical model that could be used to obtain the approximate focal length of O-ring-driven liquid-filled lenses. An O-ring-driven liquid-filled lens is composed of a base plate, a glass-covered liquid reservoir, a pliable membrane, an O-ring, a spring, and three actuators. The movement of the ring changes the focal length or the focus position. In previous studies, the commercial software ANSYS was used to find the membrane deformation and ZEMAX was used to find the focal length. The procedures used in those previous studies are complicated and generally require considerable design work. The proposed mathematical method employs the principle of liquid volume conservation to simplify the calculations that approximate the focal length of the lens. The result is confirmed on ZEMAX to ensure that the method is practicable. Consequently, focal lengths of lenses with different ring thicknesses, radii, and squeezing depths to contact the membrane can be calculated immediately.

Paper Details

Date Published: 1 July 2009
PDF: 6 pages
Opt. Eng. 48(7) 073001 doi: 10.1117/1.3183937
Published in: Optical Engineering Volume 48, Issue 7
Show Author Affiliations
Chih-Wei Lin, National Tsing Hua Univ. (Taiwan)
Dein Shaw, National Tsing Hua Univ. (Taiwan)

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