Mechanical modeling of fluid-driven polymer lenses

Qingda Yang, Paul Kobrin, Charles Seabury, Sridhar Narayanaswamy, William Christian

Research output: Contribution to journalArticle

32 Citations (Scopus)

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 languageEnglish
Pages (from-to)3658-3668
Number of pages11
JournalApplied Optics
Volume47
Issue number20
DOIs
StatePublished - Jul 10 2008

Fingerprint

Lenses
lenses
membranes
Membranes
Fluids
fluids
polymers
Polymers
curvature
shape functions
Optical design
Polydimethylsiloxane
Optical devices
deflection
radii
sensitivity

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Yang, Q., Kobrin, P., Seabury, C., Narayanaswamy, S., & Christian, W. (2008). Mechanical modeling of fluid-driven polymer lenses. Applied Optics, 47(20), 3658-3668. https://doi.org/10.1364/AO.47.003658

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 journalArticle

Yang, Q, Kobrin, P, Seabury, C, Narayanaswamy, S & Christian, W 2008, 'Mechanical modeling of fluid-driven polymer lenses', Applied Optics, vol. 47, no. 20, pp. 3658-3668. https://doi.org/10.1364/AO.47.003658
Yang Q, Kobrin P, Seabury C, Narayanaswamy S, Christian W. Mechanical modeling of fluid-driven polymer lenses. Applied Optics. 2008 Jul 10;47(20):3658-3668. https://doi.org/10.1364/AO.47.003658
Yang, Qingda ; Kobrin, Paul ; Seabury, Charles ; Narayanaswamy, Sridhar ; Christian, William. / Mechanical modeling of fluid-driven polymer lenses. In: Applied Optics. 2008 ; Vol. 47, No. 20. pp. 3658-3668.
@article{4414b6193c2b455984f15b7b629cd725,
title = "Mechanical modeling of fluid-driven polymer lenses",
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.",
author = "Qingda Yang and Paul Kobrin and Charles Seabury and Sridhar Narayanaswamy and William Christian",
year = "2008",
month = "7",
day = "10",
doi = "10.1364/AO.47.003658",
language = "English",
volume = "47",
pages = "3658--3668",
journal = "Applied Optics",
issn = "1559-128X",
publisher = "The Optical Society",
number = "20",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=51949096334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=51949096334&partnerID=8YFLogxK

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 -