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46     Cha pte r  T h ree


               Diffusion-Controlled Splitter
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               Diffusion-controlled splitter consists of two parallel L  waveguides [11].
               The rate of flow is sufficiently low to allow complete diffusive mixing of
               the liquids as they reach the end of the channel. As a result, the two core
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               streams merge smoothly into a single L  waveguide. Light propagates in a
               direction opposite to that of the flow of liquids, that is, in the direction of
               decreasing extent of diffusive mixing. This system has been demonstrated
               to split a single input beam into two output beams with equal intensities.
               Advantages and Disadvantages of L  Waveguides
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               To conclude our discussion of these systems, L  waveguides have two
               main advantages:
                    1.  They are dynamically reconfigurable. Their structure and
                      function depend on a continuous, laminar flow of the core
                      and cladding liquids, and can therefore be reconfigured and
                      adapted continuously in ways that are not possible with
                      solid-state waveguides.
                   2.  They are simple to fabricate. The roughness of the wall of the
                      channel does not affect the smoothness of the laminar inter-
                      face between the core and the cladding streams, and does not
                      lead to the scattering of light or degradation in the perfor-
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                      mance of waveguides. L  waveguides can therefore be fabri-
                      cated easily and rapidly in organic polymers by using the
                      convenient techniques of rapid prototyping [12].
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                  The L  waveguides also have prominent disadvantages:
                   1.  A constant supply of fluids is necessary to maintain the
                      waveguiding streams (a supply of 144 mL is necessary to run
                      one stream at 100 μL/min for 24 h).
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                  2.  L  systems using water and PDMS are unable to guide light
                      in the infrared (λ = 1300–1600 nm) used in telecommunica-
                      tions applications because of large absorptive losses in both
                      the fluids and in the PDMS.
                   3.  The speed of optical switching is ~ 0.1 Hz. This value is much
                      slower than switching in conventional planar waveguides
                      (~  1–100 GHz). Nevertheless, the system should meet the
                      demands of applications that do not require fast switching,
                      such as optical sensing and bioassays.


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               3-5-2 L  Lenses
               Design
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                              2
               The design of the L  lens is similar to that of the L  waveguide: it is formed
               by laminar flow of three streams of fluids; the index of refraction of the
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