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170   So l i d - S t at e   La s e r s     Intr oduction to  h igh-Power Solid-State Lasers      171


                      thermal  conductivity  an  order  of  magnitude  smaller  than  YAG;
                      though this does not affect the pulse energy, it typically limits pulse
                      repetition frequencies to millihertz or lower.
                      Ti:Sapphire
                      If the SSL’s purpose is to generate the highest peak power pulses, an
                      alternative  to  increasing  the  pulse  energy  is  to  decrease  the  pulse
                      duration. This is often much less expensive, because it reduces the
                      required pumping power; moreover, ultrashort pulses enable many
                      unique high-power applications (see Chap. 12). The ability of an SSL
                      material to generate short pulses directly is limited by its gain band-
                      width. Ti:sapphire is the most commonly used ultrashort-pulse mate-
                      rial,  owing  to  its  nearly  1  octave  of  spectral  coverage  from  650  to
                      1100  nm.  Although  the  thermal  properties  of  sapphire  are  even
                              15
                      better than those of YAG, Ti:sapphire is not particularly well suited to
                      energy storage, due to its short (∼3 µs) upper-state lifetime, which
                      typically requires pulse amplifiers to be pumped with short-pulse,
                      Q-switched, and frequency-doubled (515 or 532 nm) YAG lasers. The
                      large  quantum  defect  between  pump  and  emission  wavelengths,
                      along with the lack of economical high-power pump sources in the
                      blue-green, typically limits average powers from Ti:sapphire to less
                      than 100 W.

                      Other Pulsed Materials
                      Although  the  previously  discussed  materials  dominate  most  high
                      energy and peak power lasers, some less common materials warrant
                                                                     3+
                      mention for their pulsed laser characteristics. Yb:SFAP [Yb :Sr (PO ) F]
                                                                        5
                                                                            4 3
                      has been investigated as a diode-pumped material that is suitable for
                      high-energy storage, due to its combination of large size, long upper-
                      state  lifetime,  and  intermediate  saturation  fluence,  which  balances
                      energy storage against damage limits. 16,17  Yb-doped tungstates and
                      sesquioxides  have  recently  been  developed  for  directly  diode-
                      pumped, short-pulse lasers. These materials exhibit microscopically
                      disordered structures that result in the broad gain bandwidths needed
                      to support ultrafast pulses. In particular, the Yb-doped sesquioxides
                      Yb:Sc O  and Yb:Lu O  exhibit thermal conductivity slightly greater
                                       2
                             3
                           2
                                         3
                      than YAG and have demonstrated potential for average power scal-
                      ing in thin-disk geometries. 18
                 7.3  Pumping, Cooling, and Thermal Effects
                      Careful  management  of  thermal  effects  in  the  gain  medium  is  the
                      overriding  engineering  imperative  for  any  successful  high-power
                      SSL design. There are two primary reasons temperature is so impor-
                      tant for SSLs. First, thermal gradients must not be allowed to become
                      large enough so as to pose a fracture risk to the laser material. Thermal
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