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334   So l i d - S t at e   La s e r s     Ultrafast Lasers in Thin-Disk Geometry    335


                      A 40-K temperature increase is already reached at a pump radius
                      below 30 mm at the higher pump intensity (or 60 mm at the lower
                      pump intensity). On the other hand, the diamond-mounted structure
                      is  suitable  for  further  power  increase  by  enlarging  the  pump
                      diameter: Operating the laser at the 40 percent lower pump intensity
                      of 16.6 kW/cm² should allow for an increase of the pump spot radius
                      by roughly a factor of four, while maintaining the same 40-K temperature
                      increase. Considering this 16-fold increase of the pump area and the
                      slightly higher efficiency at the lower pump intensity, it should be
                      possible to increase the output power by nearly an order of magni-
                      tude to well above 100 W.
                         It is currently not clear which effects will finally limit the power
                      scaling  in  VECSELs. Additional  challenges  will  arise  at  very  large
                      pump radii, such as inversion depletion due to amplified spontane-
                      ous  emission  (ASE)  inside  the  disk,  which  can  strongly  affect  the
                      laser’s efficiency. 25
                         In solid-state TDL materials, the pump and laser mode diameters
                      can be scaled to several millimeters and even more than 1 cm, due to
                      the lower amount of generated heat per volume thanks to the lower
                                         3+
                      quantum defect of Yb  lasers and the lower pump power density.
                      Furthermore, the ratio of the total thermal impedance of the disk and
                      the heat sink, which is usually made from copper or copper tungsten,
                      is larger. Therefore, the heat will not accumulate in the heat sink. An
                      approach  for  overcoming  the  thermal  limitations  is  to  reduce  the
                      quantity of generated heat. The main contribution results from the
                      quantum defect, which is the energetic difference between the pump
                      and laser photons. If the quantum defect is reduced, higher pump
                                               3+
                      powers can be applied. For Yb -based solid-state TDLs, the quantum
                      defect is already very low. Yb:YAG is typically pumped at 941 nm,
                      and the laser wavelength is 1030 nm, resulting in a quantum defect of
                      less than 9 percent. However, rapid progress has been made in recent
                      years in developing new laser materials that are pumped directly into
                                                3+
                      the zero-phonon line of the Yb  ion. 26–34  Pump wavelengths around
                      975 nm reduce the quantum defect and thus the total generated heat
                      by nearly a factor of two.
                         In  VECSELs,  the  quantum  defect  and  the  thermal  load  can  be
                      reduced via in-well pumping. In this case, the pump wavelength is
                      chosen  such  that  the  incoming  photons  are  only  absorbed  in  the
                                   35
                      quantum wells.  The interaction of the pump light with the quantum
                      wells  takes  place  in  a  small  region  a  few  nanometers  in  length,
                      which is much shorter than in barrier pumping, where the typical
                      interaction length is ~1 mm. Therefore, the fraction of absorbed pump
                      light in a single pass is significantly lower. The absorption efficiency
                      can thus be increased with the established multipass pump scheme
                      used  for  solid-state  TDLs  (see  Fig.  13.1b).  Another  approach  for
                      improving  the  absorption  efficiency  is  based  on  resonant  VECSEL
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