We measured the stopping of energetic protons in an isochorically heated solid-density Be plasma with an electron temperature of ∼32 eV, corresponding to moderately coupled ½ðe 2 =aÞ=ðk B T e þ E F Þ ∼ 0.3 and moderately degenerate ½k B T e =E F ∼ 2 "warm-dense matter" (WDM) conditions. We present the first highaccuracy measurements of charged-particle energy loss through dense plasma, which shows an increased loss relative to cold matter, consistent with a reduced mean ionization potential. The data agree with stopping models based on an ad hoc treatment of free and bound electrons, as well as the average-atom local-density approximation; this work is the first test of these theories in WDM plasma.
Spectral measurements have been made of charged fusion products produced in deuterium ϩ helium-3 filled targets irradiated by the OMEGA laser system ͓T. R. Boehly et al., Opt. Commun. 133, 495 ͑1997͔͒. Comparing the energy shifts of four particle types has allowed two distinct physical processes to be probed: Electrostatic acceleration in the low-density corona and energy loss in the high-density target. When the fusion burn occurred during the laser pulse, particle energy shifts were dominated by acceleration effects. Using a simple model for the accelerating field region, the time history of the target electrostatic potential was found and shown to decay to zero soon after laser irradiation was complete. When the fusion burn occurred after the pulse, particle energy shifts were dominated by energy losses in the target, allowing fundamental charged-particle stopping-power predictions to be tested. The results provide the first experimental verification of the general form of stopping power theories over a wide velocity range.
For the first time high areal-density ͑R͒ cryogenic deuterium-tritium ͑DT͒ implosions have been probed using downscattered neutron spectra measured with the magnetic recoil spectrometer ͑MRS͒ ͓J. A. Frenje et al., Rev. Sci. Instrum. 79, 10E502 ͑2008͔͒, recently installed and commissioned on OMEGA ͓T. R. Boehly et al., Opt. Commun. 133, 495 ͑1997͔͒. The R data obtained with the MRS have been essential for understanding how the fuel is assembled and for guiding the cryogenic program at the Laboratory for Laser Energetics ͑LLE͒ to R values up to ϳ300 mg/ cm 2 . The R data obtained from well-established charged particle spectrometry techniques ͓C. K. Li et al., Phys. Plasmas 8, 4902 ͑2001͔͒ were used to authenticate the MRS data for low-R plastic capsule implosions, and the R values inferred from these techniques are in excellent agreement, indicating that the MRS technique provides high-fidelity data. Recent OMEGA-MRS data and Monte Carlo simulations have shown that the MRS on the NIF ͓G. H. Miller et al., Nucl. Fusion 44, S228͑2004͔͒ will meet most of the absolute and relative requirements for determining R, ion temperature ͑T i ͒ and neutron yield ͑Y n ͒ in both low-yield, tritium-rich, deuterium-lean, hydrogen-doped implosions and high-yield DT implosions.
The response of CR-39 nuclear track detector (TasTrak®) to protons in the energy range of 0.92–9.28 MeV has been studied. Previous studies of the CR-39 response to protons have been extended by examining the piece-to-piece variability in addition to the effects of etch time and etchant temperature; it is shown that the shape of the CR-39 response curve to protons can vary from piece-to-piece. Effects due to the age of CR-39 have also been studied using 5.5 MeV alpha particles over a 5-year period. Track diameters were found to degrade with the age of the CR-39 itself rather than the age of the tracks, consistent with previous studies utilizing different CR-39 over shorter time periods.
The success of direct-drive-ignition target designs depends on two issues: the ability to maintain the main fuel adiabat at a low level and the control of the nonuniformity growth during the implosion. A series of experiments was performed on the OMEGA Laser System ͓T. R. Boehly, D. L. Brown, R. S. Craxton et al., Opt. Commun. 133, 495 ͑1997͔͒ to study the physics of low-adiabat, high-compression cryogenic fuel assembly. Modeling these experiments requires an accurate account for all sources of shell heating, including shock heating and suprathermal electron preheat. To increase calculation accuracy, a nonlocal heat-transport model was implemented in the 1D hydrocode. High-areal-density cryogenic fuel assembly with R Ͼ 200 mg/ cm 2 ͓T. C. Sangster, V. N. Goncharov, P. B. Radha et al., "High-areal-density fuel assembly in direct-drive cryogenic implosions," Phys. Rev. Lett. ͑submitted͔͒ has been achieved on OMEGA in designs where the shock timing was optimized using the nonlocal treatment of the heat conduction and the suprathermal-electron preheat generated by the two-plasmon-decay instability was mitigated.
A monoenergetic proton source has been characterized and a modeling tool developed for proton radiography experiments at the OMEGA [T. R. Boehly et al., Opt. Comm. 133, 495 (1997)] laser facility. Multiple diagnostics were fielded to measure global isotropy levels in proton fluence and images of the proton source itself provided information on local uniformity relevant to proton radiography experiments. Global fluence uniformity was assessed by multiple yield diagnostics and deviations were calculated to be ∼16% and ∼26% of the mean for DD and D(3)He fusion protons, respectively. From individual fluence images, it was found that the angular frequencies of ≳50 rad(-1) contributed less than a few percent to local nonuniformity levels. A model was constructed using the Geant4 [S. Agostinelli et al., Nuc. Inst. Meth. A 506, 250 (2003)] framework to simulate proton radiography experiments. The simulation implements realistic source parameters and various target geometries. The model was benchmarked with the radiographs of cold-matter targets to within experimental accuracy. To validate the use of this code, the cold-matter approximation for the scattering of fusion protons in plasma is discussed using a typical laser-foil experiment as an example case. It is shown that an analytic cold-matter approximation is accurate to within ≲10% of the analytic plasma model in the example scenario.
Recent work has resulted in the first high-resolution, spectroscopic measurements of energetic charged particles on OMEGA. Energy spectra of charged fusion products have been obtained from two spectrometers, and have been used to deduce various physical quantities in imploded capsules. In this paper we discuss the first use of 14.7-MeV D-3 He proton spectra for diagnosing shell areal density (ρR) and fuel ion temperature (T i ). For thick-plastic shell capsules, shell areal densities between 20 and 70 mg/cm 2 and ion temperatures between 3 and 5 keV have been determined. The spectral line widths associated with such capsules are found to be clearly wider than the doppler widths. This effect, the focus of future study, is possibly the result of ρR evolution during the burn; or is the result of an extended burn region; or results from nonuniformities in the shell. For thin-glass shell capsules, the spectral line widths are dominated by the doppler width, and ion temperatures between 10 and 15 keV were determined. We also compare and contrast these measurements with the results from neutron measurements and from 1-D hydrodynamic simulations.
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