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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


                      HAP SSLs. First, as described above, is YAG’s favorable material prop-
                      erties, along with its ability to readily accept dopant concentrations
                      exceeding 1 percent Nd and up to 100 percent (stoichiometric) Yb.
                                                                              10
                      Second, both Ndand Yb exhibit favorable spectroscopic characteristics

                      that are amenable to diode pumping and that result in highly efficient
                      conversion of pump light to laser light.
                      Nd:YAG
                      Nd:YAG is historically the most common SSL gain material, having
                      found widespread application in lamp-pumped rod lasers. This four-
                      level laser can either be lamp pumped or diode pumped, most typi-
                      cally at the broad 808-nm band transition (Fig. 7.3). The upper laser
                      level has a lifetime of 230 µs, providing reasonable energy storage
                      capability for pulsed operation. Operated on the highest gain lasing
                      transition at 1064 nm, the fraction of pump power that is converted to
                      waste heat in the material (i.e., the quantum defect) is 1 – 808/1064 =
                      24%. Recent work has explored pumping directly into the upper laser
                      level at 885 nm to reduce the quantum defect. 11
                                             3+
                         In crystalline hosts, Nd  exhibits an extraordinarily large cross
                      section  for  stimulated  emission  compared  with  other  RE  ions.  For
                                                        2
                                                   –19
                      Nd:YAG at 1064 nm, σ = 2.8 × 10  cm , and it can even be several
                      times larger for other host materials, such as YVO  (Fig. 7.1). For CW
                                                                4
                                                                         −1
                      35                4 F 3/2  →   I 11/2  20,000  Energy levels (cm )  2 G 9/2
                                             4
                      30
                   Emission cross section  (10 −20  cm 2 )  25  18,000     4 2 4 G 7/2
                      20
                                                                            G 7/2
                                                                            G 5/2
                      15
                                                          16,000
                      10
                       5
                                                          14,000           4 F 9/2
                                                                           4
                       0                                                    F 7/2
                                                                808 nm
                       1045   1055    1065   1075   1085                   4 F 5/2
                                                          12,000
                                  Wavelength (nm)                          4 F 3/2
                                      (a)
                                                          10,000
                      10
                       9 8       4 I 9/2  →   F 5/2       8,000
                                     4
                   Absorption cross section  (10 −20  cm 2 )  7 6 5 4 3  4 I 9/2  →   F 3/2  6,000  4 4 I 15/2
                                                 4
                                                                            I 13/2
                       1 2                                4,000            4
                                                          2,000             I 11/2
                       0                                           1064 nm
                        780  800  820  840  860  880  900
                                                                           4
                                  Wavelength (nm)           0               I 9/2
                                      (b)                          (c)
                 Figure 7.3  Nd:YAG spectroscopic parameters. (a) Emission cross section,
                 (b) absorption cross section, (c) energy levels.
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