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                     FIGURE 3.42  Fiber-optic sensor probe.



                          bundle will contain up to several thousand fiber elements, each work-
                          ing on the conventional fiber-optic principle of total internal reflection.
                             Composite bundles of fibers have an acceptance cone of the light
                          based on the numerical aperture of the individual fiber elements.
                                               NA = sinΘ

                                                   = n 2  − n 2
                                                       1  2

                          where n  > n  and Θ = half the cone angle.
                                 1   2
                             Bundles normally have NA values in excess of 0.5 (an acceptance
                          cone full angle greater than 60°), contrasted with individual fibers for
                          long-distance, high-data-rate applications, which have NA values
                          approaching 0.2 (an acceptance cone full angle of approximately 20°).
                             The ability of fiber-optic bundles to readily accept light, as well as
                          their large total cross-sectional surface area, have made them an
                          acceptable choice for guiding light to a remote target and from the
                          target area back to a detector element. This has been successfully
                          accomplished by using the pipe as an appendage to conventional
                          photoelectric sensors, proven devices conveniently prepackaged with
                          adequate light source and detector elements.
                             Bundles are most often used in either opposed beam or reflective
                          mode. In the opposed beam mode, one fiber bundle pipes light from
                          the light source and illuminates a second bundle—placed on the same
                          axis at some distance away—which carries light back to the detector.
                          An object passing between the bundles prevents light from reaching
                          the detector.
                             In the reflective mode, all fibers are usually contained in one
                          probe but divided into two legs at some junction point in an arrange-
                          ment known as bifurcate. One bifurcate leg is then tied to the light
                          source and the other to the detector (Fig. 3.43). Reflection from a tar-
                          get provides a return path to the detector for the light. The target may
                          be fixed so it breaks the beam, or it may be moving so that, when
                          present in the probe’s field of view, it reflects the beam.
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