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168   So l i d - S t at e   La s e r s     Intr oduction to  h igh-Power Solid-State Lasers      169


                      lasers, the large emission cross section enables high-gain extraction
                      geometries with reduced sensitivity to optical losses and relatively
                      low saturation intensity I  = hν/στ = 2.8 kW/cm  for efficient extrac-
                                                               2
                                           sat
                      tion.  The  corresponding  low  saturation  fluence  makes  Nd:YAG
                      attractive  for  moderate  energy  pulse  lasers,  where  efficiency  and
                      damage resistance are of paramount importance. However, the high
                      cross section makes Nd:YAG generally ill suited for high pulse ener-
                      gies (> ~10 J) due to the onset of parasitics and ASE.
                      Yb:YAG
                      With the recent advent of diode pumping, Yb:YAG has emerged as an
                                                                              12
                      attractive alternative to Nd:YAG in numerous HAP SSL architectures.
                      Yb:YAG’s predominant spectroscopic feature is its simple energy level
                      structure, with essentially only two energy levels (Fig. 7.4). These levels
                      are Stark-split into thermally populated manifolds, allowing energeti-
                      cally close pump and lasing transitions at 940 nm and 1030 nm, respec-
                      tively. The corresponding ~9 percent quantum defect is two to three
                      times smaller than for Nd:YAG, so that Yb:YAG is intrinsically high effi-
                      ciency,  generating  relatively  little  waste  heat  per  emitted  photon.
                      Yb:YAG is a quasi-three-level laser, with about 5 percent Boltzmann
                      population in the terminal laser level at room temperature. Hence, bulk
                      Yb:YAG SSLs typically exhibit rather high lasing thresholds, because
                      the material must first be pumped to transparency before exhibiting net
                      gain. Nevertheless, when operated high above threshold, Yb:YAG lasers
                      can be extremely efficient (c.f., Chap. 10).
                                                                  –20
                         Yb:YAG’s low emission cross section σ = 2.2 × 10  cm  leads to a
                                                                       2
                      low gain for most CW devices, requiring careful management of opti-
                      cal  losses  and  typically  multiple  lasing  passes  to  fully  extract  the
                      material. Whereas Yb:YAG’s long ∼1-ms upper-state lifetime would

                                                                           −1
                                                                Energy levels (cm )
                    2.5                                      11000
                            Yb absorption                                   2
                                                                             F 5/2
                            Yb emission
                   Cross section (10 −20  cm 2 )  1.5 1      10000        1030 nm
                     2


                                                              2000
                    0.5

                     0                                               940 nm
                                                              1000
                      900     950      1000     1050     1100
                                                                            2
                                    Wavelength (nm)                          F 7/2
                                                                0
                 Figure 7.4  Yb:YAG energy levels, absorption, and emission cross sections.
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