Abstract
A finite-element model (FEM) is employed to study the pressure response of deformable elastic membranes used as tunable optical elements. The model is capable of determining in situ both the modulus and the prestrain from a measurement of peak deflection versus pressure. Given accurate values for modulus and prestrain, it is shown that the two parameters of a standard optical shape function (radius of curvature and conic constant) can be accurately predicted. The effects of prestrain in polydimethylsiloxane (PDMS) membranes are investigated in detail. It was found that prestrain reduces the sensitivity of the membrane shape to the details of the edge clamping. It also reduces the variation of the conic constant with changes in curvature. Thus the ability to control the prestrain as well as thickness and modulus is important to developing robust optical designs based on fluid-driven polymer lenses.
| Original language | English |
|---|---|
| Pages (from-to) | 3658-3668 |
| Number of pages | 11 |
| Journal | Applied Optics |
| Volume | 47 |
| Issue number | 20 |
| DOIs | |
| State | Published - Jul 10 2008 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Mechanical modeling of fluid-driven polymer lenses. / Yang, Qingda; Kobrin, Paul; Seabury, Charles; Narayanaswamy, Sridhar; Christian, William.
In: Applied Optics, Vol. 47, No. 20, 10.07.2008, p. 3658-3668.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Mechanical modeling of fluid-driven polymer lenses
AU - Yang, Qingda
AU - Kobrin, Paul
AU - Seabury, Charles
AU - Narayanaswamy, Sridhar
AU - Christian, William
PY - 2008/7/10
Y1 - 2008/7/10
N2 - A finite-element model (FEM) is employed to study the pressure response of deformable elastic membranes used as tunable optical elements. The model is capable of determining in situ both the modulus and the prestrain from a measurement of peak deflection versus pressure. Given accurate values for modulus and prestrain, it is shown that the two parameters of a standard optical shape function (radius of curvature and conic constant) can be accurately predicted. The effects of prestrain in polydimethylsiloxane (PDMS) membranes are investigated in detail. It was found that prestrain reduces the sensitivity of the membrane shape to the details of the edge clamping. It also reduces the variation of the conic constant with changes in curvature. Thus the ability to control the prestrain as well as thickness and modulus is important to developing robust optical designs based on fluid-driven polymer lenses.
AB - A finite-element model (FEM) is employed to study the pressure response of deformable elastic membranes used as tunable optical elements. The model is capable of determining in situ both the modulus and the prestrain from a measurement of peak deflection versus pressure. Given accurate values for modulus and prestrain, it is shown that the two parameters of a standard optical shape function (radius of curvature and conic constant) can be accurately predicted. The effects of prestrain in polydimethylsiloxane (PDMS) membranes are investigated in detail. It was found that prestrain reduces the sensitivity of the membrane shape to the details of the edge clamping. It also reduces the variation of the conic constant with changes in curvature. Thus the ability to control the prestrain as well as thickness and modulus is important to developing robust optical designs based on fluid-driven polymer lenses.
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U2 - 10.1364/AO.47.003658
DO - 10.1364/AO.47.003658
M3 - Article
VL - 47
SP - 3658
EP - 3668
JO - Applied Optics
JF - Applied Optics
SN - 1559-128X
IS - 20
ER -