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238   So l i d - S t at e   La s e r s                     Thin-Disc Lasers    239



                         120
                        Azimuthal stress (MPa)  80






                          40



                           0
                             0  1   2  3   4   5  6   7  8        Classical design,
                                                     2
                                 Pump power density (kW/cm )      soldered on CuW
                                                                  Composite disk,
                                                                  directly cooled
                          40
                          20
                        Radial stress (MPa)  −20 0




                         −40
                         −60

                         −80
                             0  1  2  3  4   5  6  7  8  9
                                                     2
                                 Pump power density (kW/cm )
                      Figure 10.10  Comparison of the maximum radial and azimuthal stress
                      inside the disc for two different mounting designs.

                      The transparent layer on top of the disc has nearly no axial tempera-
                      ture  gradient  and  the  directly  cooled  design  shows  a  significantly
                      smaller deformation. This results in a reduced refractive power of the
                      thin-disc as can be seen in Fig. 10.11. But the remaining aspherical
                      contributions of the OPD are stronger, as there is more hot material
                      inside the resonator.


                      10.5.6  Numerical Modeling of Gain and Excitation
                      Yb:YAG shows a significant temperature-dependent reabsorption of
                      the laser radiation. In the thin-disc design it is operated at a compa-
                      rable high inversion level, resulting in a significant reduction of the
                      pump absorption. Consequently, the coupling between the differen-
                      tial equations of pump absorption, laser amplification, inversion, and
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