Page 412 - High Power Laser Handbook
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380   So l i d - S t at e   La s e r s     The National Ignition Facility Laser    381


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                            10
                                                 Flat in            Shaped
                                                  time               pulse
                             8                   pulses
                           3ω Energy out (kJ)  6






                             4



                             2


                             0
                               0    2    4    6   8    10   12   14  16   18
                                               1ω Energy in (kJ)
                      Figure 14.21  Measured 3ω energy out of the converter versus measured
                      1ω energy into the converter for three illustrative cases: an 11/9 converter
                      with 3.5-ns flat-in-time (FIT) pulses (filled circles); a 14/10 converter with
                      5.0-ns FIT pulses (open circles); and a 14/10 converter with a 1.8 MJ/500 TW
                      (FNE) shaped pulse (open squares). The model (solid line for FIT 11/9;
                      dashed for FIT 14/10) is described in the text.



                         The measured third harmonic performance of the laser under PQ
                      conditions is summarized in Figs. 14.22 to 14.24. Figure 14.22 plots
                      the harmonic energies and pulse shapes for a 17.1-kJ input pulse with
                      a peak power of 3.65 TW and a temporal contrast of 17:1 that was
                      frequency converted to 10.9 kJ of 3ω with a peak power of 2.90 TW
                      and a temporal contrast of 150:1 at the output of the converter. The
                      measurements are in good agreement with simulations employing a
                      three-dimensional  (x,  y,  z)  time-slice  model.  The  model  uses  the
                      paraxial formulation of the coupled wave equations and accounts for
                      diffraction, phase matching, Poynting vector walk-off, linear absorption,
                      nonlinear refractive index, cross-phase modulation, and two-photon
                      absorption  at  the  third  harmonic.   It  incorporates  representative
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                                                             44
                      measured crystal data for surface aberrations  and spatial birefrin-
                      gence variations,  as well as measured data for the spatial profile of
                                    45
                      the electric-field amplitude, phase, temporal shape of the input pulse
                      (see previous section), and Fresnel losses (Table 14.3). The first two
                      rows of Table 14.3 give the Fresnel losses in the converter components
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