Page 161 - Optofluidics Fundamentals, Devices, and Applications
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136     Cha pte r  Se v e n


               Fiber Tapering
               Fiber tapering is a mature technique of postprocessing the shape of
               optical fibers or, indeed, any capillary structure capable of being
               heated to a plastic state [31]. Very simply, the fiber to be tapered is
               heated along some length until it is softened, and then it is pulled in
               opposite direction, thus applying tension to the plastic glass. This
               results in the elongation of the fiber and the scaling of its internal
               structure to create waveguides with customized optical properties
               [32]. It is possible to fabricate tapers that continue to guide light
               despite having dimensions significantly below the wavelength of
               the said light [33,34]. Tapering also works on microstructured optical
               fibers and, with the right parameters, the fiber structure is maintained
               [32,35]. As such, fiber tapering is a simple and versatile process for
               customizing silica fiber waveguides.

               Bragg Gratings
               Fiber Bragg gratings (FBGs) are periodic refractive index modulations
               along the length of a fiber waveguide [36]. In silica telecommunications
               fibers, the germanium-doped cores are photosensitive to ultraviolet
               light: exposure causes a refractive index rise that is dependent on expo-
               sure time, light intensity, and wavelength. So in order to fabricate an
               FBG in SMF, all that needs to be done is expose the SMF core to a peri-
               odic spatially varying ultraviolet light field. The discovery of the FBG
               and the photosensitivity of germanium-doped silica arose from the
               propagation of short-wavelength visible light through a fiber that,
               upon reflection from the fiber ends, set up a standing wave, which
               provided the necessary periodic intensity modulation [37]. Typical
               modern FBGs are fabricated using a transverse beam of ultraviolet
               laser light passed through a phase mask that generates two beams of
               different diffraction orders. These beams then interfere creating the
               necessary periodic intensity modulation for writing FBGs.
                  The characteristic response of an FBG whose period is sub-
               wavelength is that it will resonantly reflect a given wavelength band
               while transmitting all others [38]. As such, the FBG can be thought of
               as an in-fiber wavelength-selective mirror. Two FBGs can be written
               spaced apart in SMF, and this structure acts essentially as a Fabry-
               Perot resonator [39]. Similarly, one continuous grating can have a
               defect, or phase shift, introduced somewhere along its length and
               also behave like a resonator [35]. The wavelength response of the FBG
               depends upon the period of the grating. If the grating is mechanically
               deformed or expanded through local heating, the resonant wave-
               length of the FBG will change. This effect is the basis for many designs
               of photonic environment sensors [36–38].
               Long-Period Gratings
               Another type of grating, the long-period grating (LPG), has a period
               of several hundred wavelengths and resonantly couples light
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