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378   So l i d - S t at e   La s e r s     The National Ignition Facility Laser    379


                                                  o


                                                         c
                                           E
                                e           2ω
                                                                         E 3ω



                                               E 1ω
                                                                 e
                                           c
                                                             Type II THG
                                                               + k  = k
                                                            k 1e   2o   3e
                                                               dKDP
                                    E 1ω      o
                                           Type I SHG
                                            + k  = k
                                          k 1o   1o   2e
                                             KDP
                      Figure 14.19  Illustration of a Type I–Type II converter scheme. The NIF
                      doubler (second harmonic generator [SHG]) thicknesses range from 11 to
                      14 mm, and the tripler (third harmonic generator [THG]) thicknesses range
                      from 9 to 10 mm. The measurements described here were primarily
                      performed with a 14-mm SHG and a 10-mm THG.




                      dihydrogen  phosphate (KDP)  frequency  conversion  crystals 42,43 ,  as
                      illustrated  in  Fig.  14.19.  The  first  crystal,  or  doubler,  converts
                      approximately two-thirds of the incident laser energy to the second
                      harmonic via Type I phase-matched degenerate sum-frequency mixing:
                      1ω(o) + 1ω(o) −> 2ω(e). The copropagating second harmonic and
                      residual  fundamental  beams  are  then  passed  through  a  deuterated
                      KDP (dKDP) tripler, where the third harmonic beam is created by
                      Type II phase-matched sum-frequency mixing: 2ω(o) + 1ω(e) −> 3ω(e).
                      We set the critical 2:1 mix ratio of 2ω to 1ω energy needed for efficient
                      mixing in the tripler by angularly biasing the Type I doubler a few
                      hundred microradians from exact phase matching. The optimum bias
                      angle depends both on crystal thickness and drive irradiance. The
                      sensitivity of conversion efficiency to this optimum bias angle is
                      shown in Fig. 14.20.
                         Figure 14.21 shows measured 3ω energy produced as a function
                      of 1ω energy into the converter for flat-in-time (FIT) pulses. The
                      figure  compares  two  different  converter  configurations,  one  with
                      crystal thicknesses L /L  = 11 mm/9 mm, and a second with L /L  =
                                                                             2
                                                                           1
                                          2
                                       1
                      14 mm/10 mm. The data for the 11/9 configuration was obtained
                      from shots with a 3.5-ns pulse length, with the doubler operating at a
                      bias of 220 ± 5 μrad, and with the tripler tuned for phase matching to
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