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400   So l i d - S t at e   La s e r s     The National Ignition Facility Laser    401


                            0.20




                                          15%
                            0.15
                          RMS variation from the mean  0.10  10%  10%







                                                             6%

                            0.05
                                                                      3%



                            0.00
                               0     2     4    6     8     10    12   14
                                                   Time (ns)
                                   Ignition point design
                                   requirement
                                   Measured 16 shot
                                   RMS variation
                                   Point design temporal
                                   pulse shape

                      Figure 14.39  The time-dependent root mean square variation among a set
                      of 16 nominally identical shots (red), compared with the Rev. 2 power-balance
                      requirement (green); the temporal pulse shape (blue) is for reference.



                      on a single shot, this test predicted that NIF would meet its power-
                      balance specifications with a comfortable margin. Further, assuming
                      that shot-to-shot power variations are correlated within a quad, but
                      uncorrelated between quads, we would expect the maximum shot-to-
                      shot variation for the full NIF to be ∼9%/  48 =  1 3%, which is also
                                                                .
                      significantly less than the 3 percent Rev. 2 requirement.  Two direct
                                                                     60
                      measurements of the achievable full-system power balance are repre-
                      sented in Fig. 14.40. Data from the 96-beam, 500-kJ project-completion
                      shot on December 21, 2008 (Fig. 14.40a), verify that the quad-to-quad
                      rms power variation is well below the Rev. 3.1 requirement through-
                      out the pulse, including the 3 percent requirement at the peak of the
                      pulse (compare with 8 percent in the 1994 Functional Requirements
                      and Primary Criteria ). The 1-MJ, 192-beam shot fired on March 9,
                                        25
                      2009 (Fig. 14.40b), had a known error in the request sent to the MOR
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