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416    Fi b er   L a s er s                                                                                      Intr oduction to Optical Fiber Lasers    417


                      and efficient absorption of the pump once coupled into a double-clad
                      optical  fiber.  A  glass  host  also  provides  broader  absorption  and
                      emission spectra for rare earth ions due to strong inhomogeneous
                      broadening, leading to less constraint on pump wavelength stability,
                      a wider range of lasing wavelengths, and a wide gain bandwidth, all
                      of which are critical factors for ultrashort pulse lasers.


                 15.2  Rare-Earth-Doped Optical Fibers

                      15.2.1  Basics of Optical Fibers
                      Figure 15.1 shows a typical optical fiber. At the center of the fiber is a
                      core of diameter 2ρ and refractive index n , surrounded by a clad-
                                                          co
                      ding layer with refractive index n . Both the core and the cladding are
                                                  cl
                      made mostly of silica glass. Germanium doping in the core is typi-
                      cally used to raise the core’s refractive index. Phosphorous and alu-
                      minum doping can also be used to raise the refractive index. Fluorine
                      and occasionally boron doping are used to lower the refractive index
                      of silica glass. The core glass and at least the inner part of the cladding
                      glass  are  typically  made  of  very-high-purity  glass  through  vapor-
                      phase  deposition  processes,  which  minimize  impurities,  especially
                      transition  metal  ions,  to  achieve  very  low  transmission  loss.  The
                      intrinsic loss of between 1 and 2 µm, a wavelength range relevant to
                      most  optical  fiber  lasers,  is  at  most  a  few  decibels  per  kilometer
                      (dB/km). This loss is negligible in a fiber laser of a few meters long.
                      A layer of acrylic coating with a higher refractive index is typically
                      used both to protect the glass surface and to strip away any unwanted
                      light propagating in the cladding glass.


                                                          Core
                                                          Cladding

                                                          Coating





                                               n

                                                         n co
                                                    r
                                                         n cl
                                             2ρ

                      Figure 15.1  An optical fiber and its transverse refractive index distribution.
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