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248    So l i d - S t at e   La s e r s                                                                                              Thin-Disc Lasers     249



                            35

                            30
                            25
                           Heat load (kW)  20



                            15
                                                         Heat load inside disk
                                                         Transmission through HR
                            10
                             5

                             0
                               0      200     400     600      800    1000
                                                  Time (µs)
                      Figure 10.17  Heat load inside the disc and additional heat load at the HR
                      coating due to partial ASE absorption and transmission. Doping concentration
                      4.5 percent, thickness 600 µm, pump power 16 kW, pump spot radius
                      9.8 mm.

                      larger than the critical angle (the technical realization would be also
                      difficult, but it is possible to design coatings with modulated reflection
                      spectra, reaching a similar average reflectivity). To enhance the visibil-
                      ity of the differences, for these calculations 64 kW peak pump power
                      and a larger pump spot were used. The extractable energy is enhanced
                      from 4 J to 7 J with this coating and the gain reaches a similar magni-
                      tude as in the low-power configuration in Fig. 10.15.
                         But  there  is  also  a  drawback  of  this  design,  as  the  “loss”  of
                      25 percent must either be absorbed in the coating or transmitted and
                      then, depending of the mounting and cooling design, converted to
                      heat somewhere in the contact layers. As shown in Fig. 10.17, this
                      will produce an additional heat load of about 35 kW. In Sec. 10.5.2,
                      we assumed that about 76 percent of the absorbed pump power will
                      be captured inside the disc as fluorescence—and more than half of it
                      will be eventually transformed into heat with this “ideal” coating.
                      This is even more than what we have assumed in Sec. 10.5.2 for first
                      calculations. In this case it can be beneficial to use a different mount-
                      ing design for the disc, avoiding the heat sink and instead directly
                      cooling the disc with water.


                      10.5.12  ASE-Limit
                      The method above can be used for numerical modeling of the influ-
                      ence of ASE on the performance of thin-disc lasers. To find a scaling
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