An explanation for the energetic ions observed in the PetaWatt experiments is presented. In solid target experiments with focused intensities exceeding 10 20 W/cm 2 , high-energy electron generation, hard bremsstrahlung, and energetic protons have been observed on the backside of the target. In this report, we attempt to explain the physical process present that will explain the presence of these energetic protons, as well as explain the number, energy, and angular spread of the protons observed in experiment. In particular, we hypothesize that hot electrons produced on the front of the target are sent through to the back off the target, where they ionize the hydrogen layer there. These ions are then accelerated by the hot electron cloud, to tens of MeV energies in distances of order tens of microns, whereupon they end up being detected in the radiographic and spectrographic detectors.
In our Petawatt laser experiments several hundred joules of 1 µm laser light in 0.5-5.0 ps pulses with intensities up to 3x10 20 Wcm -2 were incident on solid targets producing a strongly relativistic interaction. The energy content, spectra, and angular patterns of the photon, electron, and ion radiations were diagnosed in a number of ways, including several novel (to laser physics) nuclear activation techniques. From the beamed bremsstrahlung we infer that about 40-50% of the laser energy is converted to broadly beamed hot electrons. Their direction centroid varies from shot to shot, but the beam has a consistent width. Extraordinarily luminous ion beams almost precisely normal to the rear of various targets are seen -up to 3x10 13 protons with kT ion ~ several MeV representing ~6% of the laser energy.We observe ion energies up to at least 55 MeV. The ions appear to originate from the rear target surfaces.The edge of the ion beam is very sharp, and collimation increases with ion energy. At the highest energies, a narrow feature appears in the ion spectra, and the apparent size of the emitting spot is smaller than the full back surface area. Any ion emission from the front of the targets is much less than from the rear and is not sharply beamed. The hot electrons generate a Debye sheath with electrostatic fields of order MV per micron which apparently accelerate the ions.
The temperature equilibration rate between electrons and protons in dense hydrogen has been calculated with molecular dynamics simulations for temperatures between 10 and 600eV and densities between 10;{20}cm;{-3}to10;{24}cm;{-3} . Careful attention has been devoted to convergence of the simulations, including the role of semiclassical potentials. We find that for Coulomb logarithms L greater, similar1 , a model by Gericke-Murillo-Schlanges (GMS) [D. O. Gericke, Phys. Rev. E 65, 036418 (2002)] based on a T -matrix method and the approach by Brown-Preston-Singleton [L. S. Brown, Phys. Rep. 410, 237 (2005)] agrees with the simulation data to within the error bars of the simulation. For smaller Coulomb logarithms, the GMS model is consistent with the simulation results. Landau-Spitzer models are consistent with the simulation data for L>4 .
In an experimental study of the physics of fast ignition the characteristics of the hot electron source at laser intensities up to 10 " Wcm"2and the heating produced at depth by hot electrons have been measured. Efficient generation of hot electrons but less than the anticipated heating have been observed.The concept of isochoric fast ignition originated by Tabak et al. ' is of importance through its potential to give higher inertially confined fusion (ICF) gain than isobaric central spark ignition used in the more developed indirect and direct drive schemes 'and thereby to reduce the driver efficiency required for inertial fusion energy (IFE). The physics is new and challenging involving strongly relativistic laser plasma interactions and transport of energy by MeV electrons where electrostatic potentials and self generated magnetic fields may strongly modify the transport 3. Experimental and theoretical studies aimed at assessing the feasibilityof fastignitionas a newrouteto ICF arenowbeing carried out at many laboratories world wide including the Lawrence Livennore National Laboratory (LLNL), where the Nova laser facility has been adapted to generate petawatt pulses using chirped puke ampliilcation (CPA)4 .
Experimental FaciIityTwo beam lines at Nova have been adapted for CPA operation and for experiments reported here, generated typically 20J and 500J pulses respectively of duration in the range 0.4 to 20 ps (maximum power up to 1 PW). Focusing of the two beams respectively was with an off axis f73parabolic mirror of focal length 42 cm in a focal spot of 15 yrn diameter 1 and an axial f14parabola of focal length 170 cm in an asymmetrical spot of 40 pm x 20SThe focal spots had a speckle ,pattern sub structure with a broad power spec& of intensity. Work is in progress to correct the wavefront using a deformable mirror. T&b eam line produced a power weighted average intensity on target in 0.45 ps pulses estimated at 210'9 Wcm"2. The 500J, beam line produced 10 N Wcm'2 in 1 PW, 0.45 ps pulses. A thick glass plate debris shield protected the parabola in the 500J beam line for longer pulse operation down to 5 ps. Non linear effects precluded the me of the debris shield for lPW shots and here a plasma mirror was used to reverse the beam direction thus projecting ablated target debris away from the un-protected parabola. The off axis parabola was used with a thin debris shield for all pulse lengths in the 20 J experiments. Targets in these experiments were exposed to ASE and leakage prepulses before the main pulse. ASE in a typically 3 ns period before the pulse varied in experiments reported here from 210-5 to 2104 of the main pulse energy. The energy of leakage pulses ranged from 104 to 10'2of the main pulse, occurring 2 ns or 4 ns before the main pulse but could be made as low as 104 with precise adjustment of Pockels cell gates.
The hot electron sourceA central theme of the experimental work has been the characterization of the hot electron source produced at a solid target. Electrons directed into the t...
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