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Optofluidic Trapping and Transport Using Planar Photonic Devices   89


               light) from the waveguide using an upright microscope, which observed
               the chip from above.
                  When a flowing particle comes in contact with the optically
               excited waveguide, it may be captured in the evanescent field and
               begin moving in the direction of optical propagation. Figure 5-5d to
               5-5f shows time step images of the particle becoming trapped on the
               waveguide and propelled in the direction opposite the initial flow.
               Using the system described here we observed particle trapping and
               optical transport velocities along the waveguide as high as 30 μm/s
               and capture particles flowing by as fast as 80 μm/s. We observed
               approximately linear behavior of the optical transport velocity and
               the guided optical power. This is roughly as expected from our quali-
               tative description given earlier since the number of photon strikes
               should be proportional to the optical power in the waveguide. Mov-
               ies showing the transport and many more results are available from
               Schmidt et al. [49].

               Comments on Particle Capture Rate
               As noted in the previous sections, the “capture rate” of particles
               flowing over the waveguide is relatively low in this arrangement
               at approximately 10% of all the particles, which overflow the
               waveguide (this is better illustrated in the movies) [49]. Experi-
               mentally, we observed that this capture rate increases as the flow
               rate decreases and the optical power increases. The reason is that
               in this experimental arrangement, a particle passing over a wave-
               guide must be on a streamline that passes through a region of the
               evanescent field which exerts a force on the particle greater than
               the flow drag force in order to be captured (this is analogous to the
               condition that a flowing particle must be on a streamline that
               passes through the focal point of a free-space optical tweezer in
               order to be trapped). In a low-Reynolds number microfluidic flow,
               the only way in which a particle can hop streamlines is through
               diffusion or when acted upon by an external impulse. Since the
               average volume over which a particle will travel through diffusion
               increases with the amount of time it is observed, the probability
               that it will sample a streamline that passes through the evanescent
               field increases with the amount of time it takes for it to flow over
               it. As such the rate of capture can be increased by reducing the
               flow rate as observed. Increasing the optical power increases the
               strength of the trapping force at a given point in the evanescent
               field and, therefore, also increases the number of streamlines that
               pass through the “attraction basin.” If greater trapping probabili-
               ties are desired, the simplest way of accomplishing this is to
               decrease the channel size (here we use a 5-μm-tall channel). This
               serves to physically confine the particles closer to the waveguide
               effectively reducing the number of streamlines that do not pass
               through the evanescent field.
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