Page 507 - High Power Laser Handbook
P. 507

474   Fi b er   L a s er s                              Pulsed Fiber Lasers    475


                      residual higher-order modes causes beam-centroid wander and far-
                      field beam-pointing instability, which especially hampers their use in
                      remote sensors and materials processing. 21
                         Another approach is to resort to waveguides designed to be effec-
                      tively single-mode despite very large cores. An important example is
                      photonic crystal fibers (PCFs). In these fibers, an air-clad multimode
                      waveguide (designed for pump guiding) embeds a hexagonal array
                      of axial holes in which a number of central holes are replaced with a
                      solid hexagonal array of rare-earth-doped elements to form the core.
                      The refractive indices of the pump waveguide and core are controlled
                      by the axial-hole diameter-to-spacing ratio and the amount of index-
                      lowering fluorine doping, respectively. They are also fine-tuned to
                      provide a core-to-pump waveguide index contrast that supports sin-
                      gle  transverse  mode  operation.  This  microstructure  is  realized
                      through a stack-and-draw fabrication process that offers significantly
                      higher design precision compared with the chemical deposition and
                      solution doping that are normally used for standard fibers. In partic-
                      ular, very-low-NA cores can be reproducibly obtained. This enables
                      single-mode core size scaling (up to 100 μm diameter, to date), even
                      though bend loss ultimately becomes significant, and thus the PCF
                      must be enclosed in a rigidly straight overcladding that forms the
                      main feature of the so-called rod-type PCF. Performance examples of
                      this are reviewed in Sec. 16.4.
                         Similar  to  standard  polarization-maintaining  (PM)  fibers,  bire-
                      fringence along a preferential PCF core axis can be elasto-optically
                      imparted by the frozen-in stress resulting from incorporation of two
                      sets of borosilicate axial rods thermally mismatched to the PCF silica-
                      based cladding. Unlike in standard PM fibers, the stress rods con-
                      tribute to light confinement and are located in close proximity of the
                      fiber core, which affords high birefringence encompassing the large
                      core  area  without  the  need  for  excessive  (and  hence  structurally
                      unsound)  boron  doping.  Because  of  the  exceedingly  low  core-to-
                      inner cladding index contrast, the induced birefringence can be suf-
                      ficient for light polarized along the PCF fast axis to experience an
                      effective index lower than the inner cladding and, as a consequence,
                      leak out of the core, which is known as polarizing behavior.
                                                                      22
                         Alternative fiber concepts, such as leakage channel  and chi-
                      rally coupled core fibers  (which are discussed in Chap. 15) have
                                           23
                      been proposed to foster MFA scaling with good beam quality. In the
                      limit of very large cores, however, such diverse single-mode solu-
                      tions seem inevitably to converge toward waveguides that must be
                      kept nearly straight to escape bend loss or bend-induced mode field
                      compression. Another adopted approach relies on fibers that selec-
                      tively operate in a single, cylindrically symmetric large-area high-
                      order mode (HOM), such as LP  or LP . This mode is selected at the
                                                      07
                                                04
                                                                              24
                      fiber input by means of a judiciously designed long-period grating.
                      The rationale is that HOMs are subject to lower bend-induced area
   502   503   504   505   506   507   508   509   510   511   512