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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


                      seem attractive for pulse energy storage, the low cross section leads
                                                          2
                      to saturation fluence F  = hν/σ = 8.8 J/cm , making efficient extrac-
                                         sat
                      tion without damage difficult outside clean room environments.
                         Cryogenic cooling of Yb:YAG is also commonly employed to reach
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                      higher powers than are easily attainable at room temperature.  Cool-
                      ing the material to near-liquid nitrogen temperature (77 K) provides a
                      number  of  benefits.  First,  the  thermo-optic  and  thermomechanical
                      properties of the YAG host material improve dramatically, with a factor
                      of ∼4 increase in thermal conductivity and a lowering of both dn/dT
                      and CTE by factors of ∼7 and 3, respectively. Second, the terminal laser
                      level population is frozen to near zero, and the material becomes a true
                      four-level laser with low lasing threshold. Finally, thermal broadening
                      of the Yb gain spectrum that occurs at room temperature is eliminated,
                      sharply narrowing the line width and increasing the peak gain by a
                      factor of ∼7. These benefits must be weighed against the cumbersome
                      engineering required for implementation of cryo-cooling, which either
                      requires a reservoir of liquid nitrogen with associated limited runtime,
                      or integration of closed-loop chillers that are noisy and bulky and that
                      severely affect overall system efficiency.

                      7.2.4  High Pulse-Energy and Peak-Power SSL Materials
                      Whereas Nd:YAG and Yb:YAG are the bases for most HAP SSLs emit-
                      ting near 1 µm, other materials can provide improved performance
                      for pulsed operation. For lasers intended to scale to high pulse ener-
                      gies or peak powers, the average power (i.e., the pulse repetition rate)
                      is often of secondary importance. This opens the door to the use of
                      host materials that are less thermally advantageous than YAG. The
                      key material considerations for pulsed lasers are the energy storage
                      and extraction capability; the ability to obtain large clear apertures
                      free from any defects that might provide seeds for damage; and an
                      emission bandwidth that can support short pulses.

                      Nd:glass
                      Nd-doped glasses have long been the material of choice for ultrahigh-
                      energy pulsed lasers, such as the National Ignition Facility (NIF) laser
                      (Chap.  14).  Laser  glass  can  be  fabricated  in  meter-class  apertures,
                      which are beyond even the capability of ceramics. This enables large
                      apertures  to  spread  the  laser  energy  to  avoid  damage,  while  also
                      providing  a  large  gain  volume  of  Nd  in  which  to  store  energy.
                      Nd:glass’s broad absorption spectrum allows for economical flash-
                      lamp pumping, and its inhomogeneously broadened emission spec-
                      trum  of  several  nanometers  can  support  subpicosecond  pulses.
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                      Inhomogeneous  broadening  from  the  glass  host  also  reduces  the
                      peak  emission  cross  section  by  nearly  an  order  of  magnitude,  as
                      compared with Nd:YAG (c.f., Fig. 7.1), hence allowing more stored
                      energy without ASE depletion. However, the glass host material has
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