M. J.-E. Manuel1、a), B. Khiar2, G. Rigon3, B. Albertazzi3, S. R. Klein4, F. Kroll5, F. -E. Brack5、6, T. Michel3, P. Mabey3, S. Pikuz7, J. C. Williams1, M. Koenig3, A. Casner8, and C. C. Kuranz4
Author Affiliations
1General Atomics, San Diego, California 92121, USA2University of Chicago, Chicago, Illinois 60637, USA3Laboratoire pour l’utilisation des lasers intenses, 91128 Palaiseau Cedex, France4University of Michigan, Ann Arbor, Michigan 48109, USA5Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany6Technische Universität Dresden, 01062 Dresden, Germany7National Research Nuclear University, Moscow 115409, Russia8Centre lasers intenses et applications, 33405 Talence Cedex, Franceshow less
Fig. 1. Critical wavelength plotted as a function of B-field strength for Rayleigh–Taylor (RT)-relevant parameters in the northern edge of the Crab Nebula. In this system, the low-density pulsar wind nebula (PWN) pushes on the high-density supernova (SN) ejecta.
Fig. 2. Contour plots of λc (μm) as a function of Δρ and g for typical parameter ranges found in laser-driven experiments with a 10-T or 40-T B-field aligned parallel to the wave vector in the ideal-MHD limit.
Fig. 3. (a) Schematic of physics package, laser drive, and B-field orientation across rippled interface. (b) Experimental setup showing x-ray radiography configuration with B-field now out of the page. Streaked self-emission is also collected with a field of view aligned with the shock tube to measure interface velocity. (c) Predicted density distributions from resistive- and ideal-MHD simulations at 20 ns illustrating the effect of a 10-T B-field on the RT evolution in LULI experiments under varying resistivities. (d) Shock position (similar in all cases) and peak-to-valley (P–V) amplitudes plotted as a function of time. The cases of B = 0 T and nominal Spitzer resistivity overlap, as suggested by the images shown in (c). Under ideal-MHD conditions, the P–V amplitude deviates significantly from that in the unmagnetized and nominal-Spitzer cases.
Fig. 4. (a) Radiographs from flat CHI experiments at three different times with and without the 10-T B-field. (b) Experimental positions of the CHI interface from radiographs for B = 0 T (blue squares) and B = 10 T (red circles). Ideal-MHD FLASH calculations (solid lines) predict no difference in the interface position and fit parabolic trajectories (dotted lines past 30 ns). The high-opacity (dark gray) region near the bottom of each x-ray radiograph is caused by mid-Z shielding near the base of the target.
Fig. 5. Streaked optical emission data for a B = 0 T shot with the simulated CHI trajectory (solid line) and extrapolated parabolic fit (dotted line). Expansion of the CHI begins to cause deviation from the parabolic fit for t ≳ 30 ns. Consistent with the radiographic data from flat CHI experiments, the typical streaked emission data are unchanged upon adding a 10-T B-field.
Fig. 6. (a) Experimental x-ray radiographs of CHI foils with machined sinusoidal perturbations with wavelength λ = 120 μm and initial P–V amplitude 20 μm. (b) Measurements of P–V amplitude as a function of time for experiments with (red circles) and without (blue circles) a 10-T B-field. FLASH simulation results from Fig. 3 are shown as well.
Fig. 7. B-field distributions (T) from ideal- and resistive-MHD FLASH calculations. Ideal MHD predicts >10× increase in B-field strength, whereas a Spitzer model in resistive MHD shows an increase of ∼ 2×.
Fig. 8. Scanning electron microscope images of different versions of GACH: (a) 8.5-mg/cc GACH foam used in this work, showing sub-micron pore structure; (b) 30-mg/cc GACH showing uniform distribution of ZnO nanoparticles; (c) shard from a GACH sphere coated with 5 μm of solid gas-discharge-polymer (GDP), showing no penetration of the coating material into the foam structure.
Fig. 9. (a) X-ray radiograph of undriven target showing foam-filled shock tube; the CHI is obscured by the shielding. (b) Lineouts of mesh in near-axial and near-radial directions show an isotropic magnification of 17.2. (c) A Gaussian blur with a standard deviation of 11 pixels fits the knife-edge data and corresponds to a 2σ resolution of ∼32 μm.
| Crab | LULI |
---|
ρl (g/cm3) | ≲10−24 | ∼3 × 10−2 (A = 6.5, Zmax = 3.5) | ρh (g/cm3) | ∼10−22 | ∼3 × 10−1 (A = 13.3, Zmax = 6.3) | g (cm/s2) | ∼7.3 × 10−4 | ∼5.9 × 1013 | λRT (cm) | ∼2 × 1017 | 1.2 × 10−2 | B (T) | ∼40 × 10−9 | ∼20 | (s) | ∼6.7 × 109 | ∼6.3 × 10−9 | vdrift (cm/s) | ∼108 | ∼40 × 105 | ni,l (cm−3) | ∼1.5 × 10−1 | ∼2.8 × 1021 | ni,h (cm−3) | ∼1.5 × 102 | ∼1.3 × 1022 | Z | ∼1 | ∼1 | Tl (eV) | ∼2 | ∼5 | Th (eV) | ∼2 | ∼1 | βl | ∼1.6 | ∼3 × 102 | βh | ∼1.6 × 103 | ∼3 × 103 | Rem,l | ∼3 × 1018 | ∼0.9 | Rem,h | ∼3 × 1018 | ∼0.03 | Rel | ∼1.3 × 106 | ∼1.2 × 105 | Reh | ∼1.1 × 109 | ∼2.3 × 108 |
|
Table 1. Nominal parameters for northern rim of Crab Nebula5–7,15,36 and LULI experiments.