Mechanical modeling of fluid-driven polymer lenses

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

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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