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Ion driven Fast Ignition. B. Manuel Hegelich LULI July 2006. Transport, stopping and energy loss of MeV/amu ions in WDM. Experimental Team. Experiment: B. Manuel Hegelich, PI, P -24 Kirk A. Flippo , P-24 Cort Gautier, P-24 Juan C. Fernandez, P-24. Theory: Mark Schmitt, X-1
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Ion driven Fast Ignition B. Manuel Hegelich LULI July 2006 Transport, stopping and energy loss of MeV/amu ions in WDM
Experimental Team Experiment: B. Manuel Hegelich, PI, P-24 Kirk A. Flippo , P-24 Cort Gautier, P-24 Juan C. Fernandez, P-24 Theory: Mark Schmitt, X-1 Brian Albright, X-1 Lin Yin, X-1 D. Gericke, Univ. Warwick Collaborators: LULI: J. Fuchs, P. Antici, P. Audebert SNL: E. Brambrink, M. Geissel GSI: M. Schollmeier, Knut, F. Nürnberger, M. Roth LMU Munich/MPQ: J. Schreiber, A. Henig
Outline • Ion-driven fast ignition: Concept, parameters, & challenges • Laser-driven stopping power experiment • Preliminary results • Summary
There are 3 different envisioned FI scenarios: electrons, protons and light ions. Each has different challenges Detailed study on proton fast ignition: Temporal et al., Phys. Plas. 9 (2002) 3098 • fuel density 300 – 500 g/cm3 • Alpha-particle range sets the minimum hot-spot size (r 10 m) • realistically 25 m ion-beam diameter • Hot-spot disassembly (cS ~ r, 20 ps) • sets required power • Constrains combinations of ion-energy spread & distance between ion source & fuel Smaller ion energy spread → larger tolerable separation, less energy in ion beam required Protons N~7x1015 E~11 kJ N~4x1016 E~26 kJ
Demonstration of monoenergetic ion acceleration makes carbon an interesting candidate for Fast Ignition. 30-40 MeV/u is needed due to its stopping in the hot, dense fuel plasma. FI conditions: Hotspot size is ~(25 mm)3 ne ~ 1026 cm-3, Te,start ~ 1 keV, Te,end ~ 10 keV. Modeling* of C6+ stopping in fuel yields:, 40 MeV/u initially required, 9 MeV/u after fuel started to heat, 33 MeV/u to account for losses in preplasma. • FI carbon ions are ~100x as energetic as FI protons • 100x fewer particles are needed, i.e. NC~2 x 1014 * ISAAC code (Ion Stopping At Arbitrary Coupling)Gericke et al., LPB 20, (2002)
Challenges for light ion based Fast Ignition: • Requires a tailored spectrum (quasi mono-energetic ions) • Demonstrated: Hegelich et al., Nature 439, 441 (2006) • Higher ion energies (30-40 MeV/amu), conversion efficiency • Empirical scaling laws: ~2 kJ laser energy • Novel target designs • New acceleration mechanism (Yin, Hegelich et al., LPB 24, 291 (2006)) • K. Flippo (talk, Friday), B. Albright (talk, Sunday) • Particle transport and stopping in WDM • Strong theory effort: Model by Gericke, Murillo et al. • Ongoing experiments (LULI, Trident) Cleaned Pd-target 10Å graphitized source layer Monoenergetic Carbon Co-moving e- preplasma Multitude of Pd substrate Charge stages Laser pulse
Ion transport and stopping in WDM Goal: investigate the stopping of MeV/nucleon ions in warm dense matter. Challenge: • Creating solid density warm dense matter (~50 eV) • WDM disassembles on ns timescales • Accelerator ion pulses have ~100ns pulse duration Solution: • Shortpulse laser isochorically heats target plasma • Shortpulse laser creates ps ion beam
Ion Generation Target Refluxing hot electrons Plasma Creation Short-Pulse Dense Plasma Target + 6° TP1 Accelerating Laser Pulse - 6° TP2 Ion Beam Electron Sheath Plasma Probe Beam Proposed Beam Time LULI 2006: Ion Transport through dense plasmas by comparison of charge state and energy distributions.Estimated spectra:
Ion transport in WDM, LANL-LULI Experiment @ the LULI 100TW Laser: Setup and diagnostics Isochoric heating shortpulse 0.45 ps, 8 J, 1x1017 W/cm2 Target +5° Ion acceleration shortpulse 0.35 ps, 20 J, 4x1019 W/cm2 Thomson parabolas Accelerated ions -5° Cw-cleaning laser ~10 W (LANL) Pre-shot Target diagnostics (Pyrometer, RGA) 2w probe pulse 0.35 ps, ~20mJ
Target heated by 10W cw laser (532 nm) 93 Pd-Al 902 °C 92 Pd-CVD 900 °C
Carbon Electron Density Gold Electron Density r(cm) r (cm) z(cm) z (cm) Carbon Burns Through Faster Than Gold • Snapshots at 50 ps after 400 fs laser pulse illumination
Electron temperatures of 40-70 keV predicted by LASNEX Te [keV] 1: t = 1 ps 2: t = 10 ps 3: t = 50 ps 4: t = 100 ps 5: t = 0 ps X [cm]
1300 1000 500 0 Carbon Velocity (km/s) Gold luli33 luli34 10-5 10-4 .001 .01 0.1 1 10 100 1000 Time (ps) Velocity of Critical Surface Simulated with Lasnex • 12 m Thick Carbon and Gold Targets • Intensity of 2x1017 W/cm2 during 400 fs pulse with 100 m Ø spot size • Lower density Carbon produces higher critical surface velocity
Target expansion velocities measured by shortpulse shadowgraphy
Shot 88: Pd-primary (900 °C), C-secondaryCR-39 #: 85+86; Ii = 6.85e19; Ih = 2.23e17 Free streaming Passed through cold matter
Shot 88: Pd-primary (900 °C), C-secondaryCR-39 #: 85+86; Ii = 6.85e19; Ih = 2.23e17 Free streaming Passed through plasma
Shot 68; 88: Pd-primary (1170; 900 °C), C-secondaryCR-39 #: 46, 47; 85,86; Ii = 4.5e19 6.9e19; Ih = 0; 2.2e17 Free streaming Passed through cold matter 47 86 46 Passed through plasma 47 + 86 85
Preliminary Summary • Experiment was designed to be a proof-of-principle for ion stopping in WDM with laser-driven ions • TP + target alignment tricky but possible • New pyrometer works reliably • Reproducable free streaming ion distribution • Clear difference between stopping in cold target and plasma • Need for better diagnostic for target plasma • Preliminary results seem to disagree with model • Monoenergetic carbon reproduced on different laser system, we know have results from both Trident and LULI 100TW
B fields & collective ion modes dense plasma beam knocked-on light ion Zeff (x) collisions with ions collisions with e- ions ion stopping energy deposition collective e- modes electrons * D. O. Gericke, Laser Part. Beams 20 (2003) 471; Gericke & Schlanges, Phys. Rev. E 67 (2003) 037401 . Theory of ion stopping in plasmas is only poorly understood: • Validate models of atomic-physics evolution of beam ions in dense plasmas (ionization, charge X & recombination). • Validate models of knock-on cascades (heavy-ion collisions with light ions) • Validate reduced models of beam-energydeposition (e.g., Gericke et al.*) • Critical for “slow” ions, i.e., MeV/nucleon ions near the end of their range. • Fluid beam-plasma instabilities from interaction of beam & plasma electrons
Shot 68: Pd-primary (1170 °C), C-secondary, not heated CR-39 #: 47; Ii = 4.5e19 W/cm2; Ih = 0, free streaming
Shot 68: Pd-primary (1170 °C), C-secondary, not heated, CR-39 #: 46; Ii = 4.5e19 W/cm2; Ih = 0, blocked by secondary
Shot 88: Pd-primary (900 °C), C-secondaryCR-39 #: 86; Ii = 6.85e19; Ih = 2.23e17, free streaming
Shot 88: Pd-primary (900 °C), C-secondaryCR-39 #: 85; Ii = 6.9e19; Ih = 2.2e17, blocked by secondary