Page 197 - High Power Laser Handbook
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166    So l i d - S t at e   La s e r s                                                                Intr oduction to  h igh-Power Solid-State Lasers      167


                      lasers, σ must be sufficiently high to provide reasonable levels of gain
                      and to prevent the saturation fluence (F  = hν/σ) from exceeding the
                                                       sat
                      material’s damage threshold.

                      7.2.2  Host Materials
                      The choice of host material is of particular importance for high-power
                      SSLs. The highest grade of optical material purity is critical, both for
                      purposes  of  laser  damage  resistance  and  to  minimize  transmission
                      losses of the high-power extracting laser beam—in particular, absorp-
                      tion losses, which deposit excess heat in the material. The material must
                      be able to be cut and polished to laser-grade specifications (typically
                      better than 1/10 wave surface figure and 10/5 scratch-dig) with reason-
                      able effort and yield. The mechanical properties of the host material are
                      also of key importance for high power. High thermal conductivity will
                      minimize the temperature increase associated with a given volumetric
                      heat load that arises from lasing. The fracture toughness—that is, the
                      peak surface tensile stress that the material can withstand—will deter-
                      mine  the  ultimate  power  density  allowed  for  a  particular  geometry.
                      Finally, the host material’s thermo-optic properties (i.e., the change in
                      index with temperature dn/dT and the coefficient of thermal expansion,
                      CTE or α) drive the magnitude of laser wavefront distortion and depo-
                      larization for any given temperature increase. All these properties work
                      together to determine the performance of a particular architecture.
                         Many  of  these  considerations  apply  not  only  to  the  laser  gain
                      materials but also to any optical materials or coatings upon which the
                      high-power laser beam is incident. However, laser gain materials are
                      typically far more difficult to engineer or select than passive optical
                      materials. First and foremost, this is because host selection is limited
                      to those host materials that provide adequate lattice matches such
                      that active ions can be doped in high concentrations. Moreover, the
                      host material must be able to withstand the laser waste heat loads,
                      which are typically order(s) of magnitude greater than the heat loads
                      resulting  from  trace  absorption  of  the  high-power  laser  beam  that
                      may occur in passive optical elements.
                         The most successful and ubiquitous host material used in HAP
                      SSLs  is  yttrium  aluminum  garnet  (Y Al O ,  or  YAG),  which  pos-
                                                         5
                                                           12
                                                      3
                      sesses  a  fortuitous  mix  of  high  thermal  conductivity,  mechanical
                                                      5
                      strength, and excellent optical quality.  Most of the active lasing rare
                      earth (RE) elements can be readily substituted for Y in the YAG crys-
                      tal lattice, enabling high dopant concentrations. YAG is also readily
                      manufacturable and, despite its hardness, can be cut and polished to
                      exacting laser-grade tolerances.
                         One of the primary limitations of high-power SSL host materials
                      has been imposed by their crystalline nature, which limits the size to
                      which they can be grown. For example, a grown boule of crystalline
                      YAG is limited to a diameter of ~10 cm by accumulated growth stresses
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