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336     So l i d - S t at e   La s e r s                                                                       Ultrafast Lasers in Thin-Disk Geometry    337


                      structures. Typically, the pump radiation’s internal angle of incidence
                      is chosen in such a way that the antinodes of the pump and laser light
                      are brought into alignment, which makes the structure resonant for
                      both the pump and the laser wavelength.  Initial experiments indi-
                                                         36
                      cate that in-well pumping bears the potential for further scaling of
                      the output powers of VECSELs. 36,37


                 13.4  SESAM Mode Locking
                      A SESAM acts as an intracavity loss modulator with an intensity-
                      dependent reflectivity. Its macroscopic nonlinear optical properties
                      are mainly determined by modulation depth DR, or the difference in
                      reflectivity between a fully saturated and an unsaturated SESAM, as
                      well  as  by  the  saturation  fluence  F ,  which  is  the  pulse  fluence
                                                     sat
                      needed to reduce the losses by 1/e of the initial value (neglecting the
                      nonsaturable losses R ). An example of a nonlinear reflectivity mea-
                                        ns
                      surement of a SESAM is shown in Fig. 13.4a. As mentioned earlier, the
                      power scaling principle of disk lasers relies on increasing the mode
                      area on the active region. Analogous arguments apply for the SESAM,
                      such that a fixed set of parameters can be used in different average
                      power regimes. Hence, among the various techniques that can force a
                      laser into mode-locked operation, 45–47  passive mode locking with a
                                                                4,5
                      semiconductor saturable absorber mirror (SESAM)  is ideally suited
                      for ultrafast disk lasers.
                      13.4.1  Pulse Formation Mechanisms
                      Another crucial parameter describing the dynamics of a SESAM is
                      the recovery time t  (see Fig. 13.4b), which is defined as the expo-
                                      1/e
                      nential time constant of the return to the unsaturated reflectivity after

                   100.0                           1.0
                                    R                       Fast time constant (<1 ps)
                                     ns
                    99.5  ∆R ns  F sat             0.8
                  Reflectivity (%)  99.0   ∆R     ∆R (normalized)  0.6  Slow time constant
                                                               (τ
                                                                  ~80 ps)
                                                                1/e
                                                   0.4
                    98.5
                                    R              0.2
                    98.0             lin
                                                   0.0
                        2  5  10  20  50 100 200  500  0    100   200   300  400
                             Pulse fluence (µJ/cm 2 )         Time delay (ps)
                                  (a)                            (b)
                 Figure 13.4  (a) Example of a measurement of the nonlinear reflectivity of a
                 SESAM (crosses) as a function of the incident pulse fluence. The theoretical fit
                 (solid) results in F  = 16.6 µJ/cm , DR = 1.95%, and DR  = 0.16%. (b) Example
                                           2
                              sat
                                                            ns
                 of the temporal response of a SESAM. The measurement was performed with
                 2.7-ps pulses, which were too long to resolve the fast recombination time
                 constant (the SESAM is described in Ref. 42).
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