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104   3 Optical Tweezers
                                                                           Monitor



                                  Cover glass Liquid  Slide glass    CCD    YAG laser
                                                                      Dichroic mirror
                                                                                 l/4 plate
                                                    Spacer
                                                  Objective lens
                                                       Upper objective
                                                                                 ND filter
                                         Enlarged view    Stage
                                                       Lower objective


                                                                              Beam expander
                            Fig. 3.26. Experimental setup for trapping and manipulating microobjects us-
                            ing upward-directed and downward-directed YAG laser beams with wavelength of
                            1.06 µm

                            havinga TEM 00 mode structure is shown in Fig. 3.26. The laser beam di-
                            ameter is increased from 0.7 to 8.2 mm by a beam expander to fill the entire
                            aperture of the objective uniformly. A quarter-wave plate is placed to generate
                            a circularly polarized beam. The intensity of the laser beam is varied using
                            a ND filter. The beam is divided by a beam splitter to enter two objective
                            lenses for focusingthe downward-directed and upward-directed laser beams.
                            A dichroic mirror is used to separate the transmitted image from the trapping
                            beam. The total transmittance efficiency from YAG laser to the objective is
                            about 35%. The transmittance efficiency of the immersion oil objective lens
                            (NA = 1.25) is 21% at a wavelength of 1.06 µm.
                               Figure 3.27 shows photographs of the experimental setup. Microobjects are
                            suspended in an aqueous medium in a chamber. The chamber is made similar
                            to a hole of a spacer (50–150 µm in depth) inserted between a coverslip (150 µm
                            in depth) and a glass slide. The particle is trapped so as to be pulled to the
                            focus of a strongly converging laser beam transmitted through the coverslip.
                            When the objective lens moves, the particle follows the objective motion.
                            The trappingbehavior of the microobjects is monitored usinga CCD camera.
                            We have measured the minimum laser power for both axially trapped and
                            transversely trapped particles by balancingthe gravitational force and the
                            viscous dragforce, respectively.
                               The particles have also been manipulated successfully usingthe upward-
                            directed and downward-directed laser beams. Two beams do not interfere each
                            other, which leads to the appropriate manipulation of microobjects such as in
                            the assembly of particles in the fabrication of a 3-D microobject.


                            3.3.2 Axial Trapping Power

                            To measure the minimum axial trappingpower P ax  , first, polystyrene/glass
                                                                       min
                            spheres are dispersed in water and trapped by a circularly polarized laser beam
                            converged with a 1.25-NA objective lens. Second, the power of the trapping
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