Page 207 - Optofluidics Fundamentals, Devices, and Applications
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182     Cha pte r  Ei g h t


                  Electrowetting was also employed to actuate liquid in ON/
               OFF switches [29,30,40]. In switched fluorescence device [29,30],
               fluorescent oil is immersed in water on top of a waveguide with
               hydrophobic cladding. The waveguide is used to excite the fluo-
               rescent oil with a UV light in the ON state. As voltage is applied to
               the water, the fluorescent oil layer gets displaced. The new con-
               figuration of the water and cladding layers reflects the UV light
               internally across the entire waveguide area. In this OFF state, no
               optical path exists that would allow violet light to reach the fluo-
               rescent oil layer.

               8-1-2 Grating-Based Switches
               Diffraction gratings are widely used in optics for beam splitting and
               spatiotemporal filtering. Beams diffracted by a grating with period Λ
               travel at different angles given by:
                                             λ
                                     sinα =   m                      (8-1)
                                         m  Λ
               Here λ is the wavelength of the normally incident beam, and m is an
               integer, called the diffraction order.
                  Optofluidics enabled design and fabrication of tunable gratings.
               Two major families are tunable geometry and tunable refractive index
               gratings. An example of the first is self-assembled flowing lattices of
               bubbles [41,42], discussed in detail in Chap 3.
                  Another family of tunable gratings is based on refractive index
               tuning. A 1 × 4 free-space optical switch based on transmission blazed
               grating was recently reported [43,44] (see Fig. 8-1e and 8-1f). Blazed
               grating submerged into a liquid exhibits highly efficient diffraction of
               an incident beam into m’th diffraction order when the fluid satisfies
               blazed grating condition [45]:
                                           Δ
                                       m =  ln                       (8-2)
                                           λ
               Here  l is the height of the grating profile, and Δn is the difference
               between the refractive indices of the fluid and the material used to
               construct the grating. Introducing a liquid with refractive index that
               satisfies Eq. (8-2) results in a beam deflection (diffraction) by an angle
               given by Eq. (8-1).
                  It should be noticed that for this type of grating the period of the
               phase modulation of the optical field incident on the grating is
               modulo Λ  when Eq (8-2) is satisfied. For such grating a high dif-
               fraction efficiency of order  m  and consequently low insertion losses
               are observed [46].
                  The design of the 1 × 4 switch was based on salt solutions in water,
               which provided refractive indices in the range between 1.33 and 1.41
               depending on the salt concentration, which allowed switching
               between four different angles for the given geometry. One of the
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