Page 474 - High Power Laser Handbook
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442    Fi b er   L a s er s                                                                                      Intr oduction to Optical Fiber Lasers    443














                               (a)                 (b)               (c)
                      Figure 15.24  Cross section of double-clad LCFs with (a) low-index polymer
                      pump guide, (b) fluorine-doped silica pump guide, and (c) fluorine-doped silica
                      pump guide and a PM core. All cores are ytterbium doped.


                      drawing process. As a result, the second core follows a helical pattern
                      around the primary core, which is sometimes referred to as chirally
                      coupled core fibers. 45,46  One major issue with such designs is that all
                      mode coupling requires modal spatial overlap as well as phase match-
                      ing. As the primary core gets larger and becomes more multimode,
                      all modes are increasingly confined to the primary core, which makes
                      it difficult for coupling to take place over practical length scales due
                      to  diminished  spatial  modal  overlap.  A  second  issue  is  that  the
                      mode density in the modal index space gets increasingly larger as
                      the core gets more multimode (see Fig. 15.2), which makes it hard to
                      phase match only the unwanted modes without affecting the nearby
                      desired mode. Optical fibers with overall performance that is signifi-
                      cantly better than conventional fibers have not yet been demonstrated
                      with these approaches.
                         A second approach is based on the propagation of a higher-
                      order mode in a multimode fiber. It has been shown that a higher-
                      order  mode  can  be  excited  using  a  mode  converter  based  on  a
                      long-period grating that is fabricated in a fiber designed to have a
                      central single-mode core surrounded by a much larger multimode
                      core. The long-period grating couples the fundamental mode input
                      guided in the small single-mode core to a co-propagating higher-
                      order mode guided mostly in the larger multimode core. It has been
                      shown that higher-order modes can propagate with low sensitivity
                      to external perturbations. Effective mode areas as high as 3200 to
                      2100 µm  have been demonstrated with LP  to LP  modes, respec-
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                      tively.   It  was  found  that  higher-order  modes  propagate  more
                           47
                      robustly than lower ones in the same fiber. (Note that a higher-order
                      mode also has a smaller effective mode area than lower-order modes
                      in the same fiber.) A second mode converter is required at the out-
                      put end to convert the higher-order mode back to the fundamental
                      mode.  Recently,  active  fibers  have  been  demonstrated  with  this
                      approach.  ASE limits these fibers to a low gain of just more than
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