Mechanical modeling of fluid-driven polymer lenses

Department of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, Florida 33124, USA.
Applied Optics (Impact Factor: 1.78). 08/2008; 47(20):3658-68. DOI: 10.1364/AO.47.003658
Source: PubMed


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.

Download full-text


Available from: Qingda Yang, Oct 11, 2015
37 Reads
  • Source
    • "Oliva and Quingda Yang [17] "
    [Show abstract] [Hide abstract]
    ABSTRACT: A variable focal length liquid-filled lens (VFLLFL) is a lens that changes its focal length by modifying the amount of water contained on it. Recent studies show that the use of VFLLFL in micro-optical devices makes them light, simple and compact. The VFLLFL under study is composed of a cylindrical metal mount with a compartment for two elastic membranes and a liquid medium between them. Unlike previous studies that have focused on developing micro-lenses filled with liquid and with thin flat membranes, this paper presents the design, simulation, and analysis of the opto-mechanical behavior of the VFLLFL formed with thick membranes of different profiles and 2 cm diameter. The study considered three lenses with membranes of different profiles. To do so, a preliminary optical design was done of the lenses to reduce the spherical aberration; next, the study describes the modeling, simulation, and analysis of the mechanical behavior of the VFLLFL using FEM. Then a Genetic Algorithm application was developed to obtain the geometrical parameters of the lens when the shape changes due to pressure applied by the liquid medium on the internal surfaces of the membranes. Finally, with the initial geometrical parameters which the lens begins to adjust due to changes of pressure, an analysis and simulation were done of the optical behavior of the lenses using the OSLO commercial ray-trace program. The results obtained are shown.
    Optik - International Journal for Light and Electron Optics 06/2013; 124(11):1003–1010. DOI:10.1016/j.ijleo.2013.01.022 · 0.68 Impact Factor
  • Source
    • "The surface contour of lens as well as its optical performance fabricated with molding method is determined by the master mold. Since the elastomeric master mold adopted here actually has the same structure as the widely described liquid lens, the detailed discussion on mechanical deformation characteristic and the corresponding optical performance can be found in Ref. [15]. The focal length of the fabricated concave lens (as shown in Fig. 2(e)) under different pressures applied during molding process is first measured . "
    [Show abstract] [Hide abstract]
    ABSTRACT: A method based on the combination of elastomeric molding and optofluidic technologies is proposed to realize the integration of pneumatically actuated variable aperture into a lens component for miniature optical systems. The main feature of the assembly is the self-aligning property between lens and aperture. All the structures are fabricated onto a polydimethylsiloxane (PDMS) substrate and the prototype is experimentally demonstrated to possess the self-aligning characteristic without requiring any tuning mechanisms. At the same time, additional tunability of the lens focal length can also be easily obtained with this design concept.
    Sensors and Actuators A Physical 04/2010; DOI:10.1016/j.sna.2010.03.001 · 1.90 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: A dynamic partitioning scheme for a large power system is used to speed up the transient stability solution by utilizing different step sizes for the different portions. The partitioning and the different step sizes naturally lend themselves to a parallel implementation. Results are obtained by utilizing the successive overrelaxation (SOR) Newton parallel algorithm on the Alliant FX/8, an eight-processor parallel computer. For a 662 bus system, a total speedup, by partitioning and parallelizing, of 33.5 is obtained. Since parallelization by itself with 8 processors can produce a speedup of about 7, the partitioning scheme provides a speedup factor of about 5. The partitioning scheme is not specific to either the SOR Newton algorithm or the Alliant machine, and its application to any other parallel method should result in a similar speedup
    Power Industry Computer Application Conference, 1991. Conference Proceedings; 06/1991
Show more