Author Affiliations
1Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, People’s Republic of China2Research Center of Laser Fusion, Mianyang 621900, People’s Republic of Chinashow less
Fig. 1. Schematic of the targets for the experiments.
Fig. 2. Time profiles of Tr at 20° relative to the halfraum axis. The black solid lines show time profiles of Tr measured with the SXS from different shots. The red solid line shows the average Tr of these shots.
Fig. 3. Comparison of the radiation fluxes out of the 1000 µm [(a)–(c)] and 1500 µm [(d)–(f)] foam cylinders at (a) and (d) 45°, (b) and (e) 56°, and (c) and (f) 67° between the measurements from different shots (shown in black) and simulated results derived from the original radiation source and Au material parameters (shown in red). The measurement errors of the time and fluxes are shown by the gray regions.
Fig. 4. Time profiles of the radiation fluxes emitted by the Au plasma (green solid line), CH plasma (red solid line), and the entire foam cylinder (blue solid line) at (a) 45°, (b) 56°, and (c) 67° for a 1000 µm foam cylinder.
Fig. 5. Plots of (a) Fmaxsimu vs Fmaxfit and (b) thalfsimu vs thalffit at 45°, 56°, and 67° for the 1000 µm (blue solid triangles) and 1500 µm (black solid squares) foam cylinders. The function y = x that represents a perfect fit is shown in red. The green and cyan solid circles correspond to the testing simulations for the 1000 and 1500 µm foam cylinders, respectively.
Fig. 6. Ranges of Au opacity and EOS scaling factors ηop and ηeos fixed by different experiments. The red band denotes the range of (ηop, ηeos) determined by Fmax, the green band denotes the range of (ηop, ηeos) determined by thalf, the yellow band shows the range of (ηop, ηeos) fixed by our previous foam-confined plasma expansion experiment,12 and the blue band shows the range of (ηop, ηeos) fixed by an Au foil burnthrough experiment.21 The region of overlap of the four bands is marked by the white oval.
Fig. 7. Comparisons of the angular dependence of the peak fluxes out of the 1000 µm (a) and 1500 µm (b) foams between experiment (black solid squares) and simulations. The red dashed and solid lines show the simulated results calculated using the original and scaled Au material parameters, respectively.
Fig. 8. Comparisons of the radiation fluxes out of the 1000 µm [(a)–(c)] and 1500 µm [(d)–(f)] foam cylinders at (a) and (d) 45°, (b) and (e) 56°, and (c) and (f) 67° between simulations and measurements. The black solid lines show the time profiles of the radiation fluxes measured with FXRDs from different shots. The red and green solid lines show the results calculated using the original and scaled Au material parameters, respectively.
Length (μm) | Angle (deg) | Fmax | thalf |
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α | β | γ | δ | χ2 | α | β | γ | δ | χ2 |
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| 45 | 5.981 | −0.130 | −0.480 | −0.262 | 4.0 × 10−3 | −1.860 | 0.053 | 0.087 | 0.472 | 4.1 × 10−5 | 1000 | 56 | 6.028 | −0.089 | −0.508 | −0.278 | 3.9 × 10−3 | −1.804 | 0.050 | 0.089 | 0.464 | 5.3 × 10−5 | | 67 | 6.038 | −0.050 | −0.518 | −0.306 | 4.7 × 10−3 | −1.777 | 0.047 | 0.091 | 0.457 | 5.9 × 10−5 | | 45 | 10.908 | −0.206 | −0.910 | −1.624 | 3.1 × 10−3 | −2.110 | 0.054 | 0.113 | 0.643 | 1.6 × 10−4 | 1500 | 56 | 10.299 | −0.113 | −0.882 | −1.071 | 8.7 × 10−3 | −2.389 | 0.071 | 0.140 | 0.815 | 7.2 × 10−4 | | 67 | 9.950 | −0.047 | −0.866 | −0.893 | 1.3 × 10−2 | −2.553 | 0.080 | 0.157 | 0.880 | 8.5 × 10−4 |
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Table 1. Fitting coefficients for the peak radiation flux Fmax and the breakout time of the heat wave thalf of the 1000 and 1500 µm foam cylinders at 45°, 56°, and 67°.