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              Fiber-Optic Chemical Sensors                                                                805








































                     FIGURE 1 Schematic diagram of a fiber-optic chemical sensor system with examples of environmental, clinical, and
                     industrial applications.


              A. Optical Fibers                                 refracted. The critical angle is defined by the ratio between
                                                                the clad and the core refractive indices,
                1. Basic Characteristics
              Optical fibers are waveguides made out of glass or plas-           sin ϕ c = n 2 /n 1 .       (1)
              tic, through which light can be transmitted. Optical fibers
                                                                  2. Acceptance Cone. In order to get high light transmis-
              transmitlightveryefficiently,whichiswhytheyaresouse-
                                                                sion, light should propagate through the fiber by a series
              ful for many applications. The light transmission through
                                                                of total internal reflections. This transmission is achieved
              the fiber is based on the phenomenon of total internal
                                                                if the angles of the light entering the fiber are within the
              reflection (TIR). Optical fibers consist of a core with a
                                                                acceptance cone as shown in Fig. 3c. The acceptance cone
              refractive index n 1 surrounded by a cladding with a lower
              refractive index n 2  (Fig. 2). The difference between the
              refractive indices enables the core–clad interface to ef-
              fectively act as a mirror such that a series of internal
              reflections transmits the light from one end of the fiber
              to the other as shown in Fig. 3a. Several principles re-
              lated to the light transmission through the optical fiber are
              significant for fiber-optic chemical sensor function and
              design:
                1. The Critical Angle. If light strikes the cladding at an
              angle greater than the critical angle ϕ c , the light is totally
              internally reflected at the core–clad interface (Fig. 3a). If
              light strikes the cladding at an angle less than the critical  FIGURE 2 Schematic diagram of an optical fiber showing core
              angle, as shown in Fig. 3b, it is partly reflected and partly  and clad structure.
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