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Bio-Inspir ed Fluidic Lenses for Imaging and Integrated Optics   225


               visual acuity needed to discriminate two points separated by 1 arc
               minute and considered to be normal vision. Figure 9-20 shows fruits
               and green beans at 3.8 m and 45 cm, respectively. The results demon-
               strate a 4-D tuning range of fluidic IOL.

               9-3-3  Mechanical Modeling of Fluidic Intraocular Lens
               Movement of the ciliary muscle from contracted/accommodated state
               to the relaxed/unaccommodated state increases tension in the zonules
               and changes the capsular bag into a thinner and longer shape. The
               state-of-art technique to actuate the IOL is by utilizing the shape change
               of the capsular bag when the human eye accommodates. In order to
               explore the pressure distribution of fluidic IOL, the mechanism of
               membrane is simulated using finite element analysis.  A nonlinear
               hyperelastic model is applied to the PDMS membrane. Assuming the
               fluidic IOL is rotational symmetric, one can simplify the computation
               using an axisymmetric model [70]. The simulated IOL profile under
               given fluidic pressure is then fitted to an elliptical equation [Eq. (9-1)]
               characterized by the radius of curvature and conic factor [71]. The conic
               factor accounts for any aspherical profile of the fluidic IOL to the first
               order. Figure 9-21 shows the relationship between actuating force and
               accommodation range. Based on the material properties of PDMS


               8

               7 6

             Accommodation amplitude (diopter)  5 5 4 3















               1 2

               0
                0    0.01  0.02  0.03  0.04  0.05  0.06  0.07  0.08  0.09  0.1
                                      Force (newton)
          FIGURE 9-21  The accommodation amplitude as a function of driving force. (W. Qiao,
          F. Tsai, S. H. Cho, and Y.-H. Lo, “Fluidic intraocular lens with a large accommodation
          range,” IEEE Photonic Technology Letters, copyright (year) IEEE.)
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