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230    So l i d - S t at e   La s e r s                                                                                              Thin-Disc Lasers     231


                            Host Material
                            YAG             Yb , Nd (3+) 9–11 , Tm (3+) 12,13 , Ho (3+) 14
                                              3+
                            YVO             Yb (3+) 15–17 , Nd (3+) 18–21
                               4
                            Sc O 3          Yb (3+) 22
                              2
                            Lu O 3          Yb (3+) 22,23
                              2
                            KY(WO )         Yb (3+) 22
                                 4 2
                            KGd(WO )        Yb (3+) 22
                                   4 2
                            NaGd(WO )       Yb (3+) 15,17
                                    4 2
                            LaSc (BO )      Yb (3+) 24
                                3   3 4
                            Ca YO(BO )      Yb (3+) 25
                              4     3 3
                            GdVO            Nd (3+) 21
                                4
                            ZnSe            Cr (2+) 26
                           Table 10.1  Examples for Successful Combinations of Host
                           and Active Ions in the Thin-Disc Laser Setup




                         With neodymium-doped materials, not only the four-level transi-
                      tions could be used but also the quasi-three-level transitions, result-
                      ing in 5.8 W laser power at 914 nm with Nd:YVO  and 25 W laser
                                                                 20
                      power at 938 nm and 946 nm with Nd:YAG. 11


                 10.5  Numerical Modeling and Scaling

                      10.5.1  Average Temperature
                      Because the disc is very thin and the pump spot is large, one can assume
                      one-dimensional heat conduction. If we apply a pump power P pump  on
                      a pump spot with radius r , absorption efficiency η , and heat genera-
                                           p
                                                               abs
                      tion  η heat  to a disc with thickness  h, that is made of a material with
                      thermal conductivity l , we will get as heat load per area:
                                         th
                                               P   ηη
                                          I  =  pump absheat               (10.1)
                                          heat    π  r p 2

                      This heat load will result in a parabolic temperature profile along the
                      axis inside the disc of
                                                       z  1  z 2 
                                     Tz() =  T +  I  R    −              (10.2)
                                           0  heat  th disk  h  2  2
                                                   ,
                                                          h 
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