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Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000.
Pulsed-Power-Driven High Energy Density Physics and Inertial
Confinement Fusion Research
M. Keith MatzenAmerican Physical Society, Division of Plasma Physics
Savannah, GeorgiaNovember 15, 2004
APS/DPP November 15, 2004; 2
Sandia ICF/HEDP Collaborators and Partners
• Atomic Weapons Establishment • Bechtel Nevada• Defense Threat Reduction Agency• DGA, Gramat• General Atomics• High Current Electronics Institute• K-Tech Corporation• Laboratory for Laser Energetics• Lawrence Berkeley Nat’l Lab• Lawrence Livermore Nat’l Lab • Los Alamos Nat’l Lab• Mission Research Corp• Naval Research Lab• Polymath• Prism Computational Sciences• Shafer Corporation• Team Specialty Products• Titan Pulsed Sciences Div.• Triniti, Kurchatov
• California Institute of Technology• Carnegie Mellon Institute • Cornell University• Harvard• Harvard-Smithsonian• Imperial College• U Maryland• U Michigan• U Nevada, Reno • U New Mexico• U Texas, Austin• U Wisconsin• UC Berkeley• UC Davis • UC San Diego • Washington State U• Weizmann Institute
Labs and industry Universities
APS/DPP November 15, 2004; 3
Magnetically-driven z-pinch implosions efficiently convert electrical energy into radiation
Current
B-Field
JxB Force
StagnationImplosionInitiation
kinetic and electrical energy
internal (shock heating)
x rays
electrical energy
kinetic energy• Z-pinch loads
– Gas puffs– Foils– Low density foams– Low-number wire arrays
• Energy: x-ray ≈ 15% of stored electrical
• Power: x-ray ≈ electrical
APS/DPP November 15, 2004; 4
Increasing the number of wires in a cylindrical array provided a breakthough in x-ray power
0
5
10
15
20
25
30
35
40
0 1 2 3 4 5 6
X-ra
y Po
wer
(TW
)
Wire gap (mm)
•• •
•• •
•
••
••••
••
•Wire gap
• Al wire arrays– Fixed implosion time– Constant mass for given
array diameter– Different array diameters
T. W. L. Sanford, et al., Phys. Rev. Lett. 77, 5063 (1996)
APS/DPP November 15, 2004; 5
The 20-MA Z facility quickly produced record x-ray powers with high-number wire arrays
The conversion of Sandia’s Particle Beam Fusion Accelerator II (PBFA II) was completed in September 1996 (renamed Z)
Z
0
50
100
150
200
250
1970 1975 1980 1985 1990 1995 2000
X-ra
y Po
wer
(TW
)
Year
Saturn
Gas puffs, foils40-wire W
192-wire Al
120-wire W
Nested arrays
300-wire W
1996 APS/DPP
C. Deeney et al, Phys. Rev. Lett. 81, 4883 (1998)R.B. Spielman et al, Phys. Plasmas 5, 2105 (1998)C. Deeney et al, Phys. Rev. E 56, 5945 (1997)
wire array
APS/DPP November 15, 2004; 6
Pulsed-power providescompact, efficient, power amplification
0
50
100
150
200
0 0.5 1 1.5
Pow
er (T
W)
Z
Time (µs)
x ray output ~1.6 MJ~200 TW
Marx
11.4 MJ
watervacuum
Electrical to x-ray energyConversion efficiency ~ 15%
Efficiency ⇒ Low Cost
17 m radius Z (circa 1997)
APS/DPP November 15, 2004; 7
The Z pulsed power facility
[Movie of Z and wire array implosions]
APS/DPP November 15, 2004; 8
Regimes of high energy density are typically associated with energy density ≥ 105 J/cm3 = 1 Mbar
Z-pinches
Copyright 2001 Contemporary Physics Education Project
APS/DPP November 15, 2004; 9
High energy density physics at the scale of the Z facility creates an exciting experimental environment
Load region before the “shot”
After shot
Wire arraylocation
Energy equivalent of 2 lbs of high explosive released in few ns in volume of < 1 cc
APS/DPP November 15, 2004; 10
The magnetic pressure associated with high currents enable accurate EOS studies
J x x x x xx B
SampleAnode
Cathode
Flyer Plate
X
XX
X
XX
B Field
Target
Isentropic Compression Experiments (ICE)*
Magnetically launched flyer plates
Magnetically produced Isentropic CompressionExperiments (ICE) provide measurementof continuous compression curves- previously unavailable at Mbar pressures- presently capable of ~4 Mbar
Magnetically driven flyer plates for shockHugoniot experiments at velocities to ~ 33 km/s- exceeds gas gun velocities by ~ 4X and
pressures by ~ 4-5X with comparable accuracy- Presently capable of ~ 20 Mbar
* Developed with LLNL
APS/DPP November 15, 2004; 11
Regimes of high energy density are typically associated with energy density ≥ 105 J/cm3 = 1 Mbar
Z-pinches
ICE &flyers
Copyright 2001 Contemporary Physics Education Project
APS/DPP November 15, 2004; 12
Outline
• Introduction• Inertial Confinement Fusion
– High temperature implosions– Symmetry of radiation drive– Fast ignition
• Radiation science• Material properties• Z-pinch physics/ALEGRA• Ongoing capability enhancements
– Z-Refurbishment– Z-Beamlet to high power (Z-Petawatt)
• Z-Pinch Inertial Fusion Energy
APS/DPP November 15, 2004; 13
Pulsed-power drivers support a diverse research portfolio of ignition and high yield, high gain ICF options
Non-cryogenicCryogenic
Double shellFast ignitionHot spot ignition
Vacuum hohlraum
Dynamic hohlraum
Driver ICF Target
X-ray drive
APS/DPP November 15, 2004; 14
High temperature capsule implosions are performed in the “dynamic hohlraum” configuration
Electrodes
Wire arraysLow density foamX-ray converter
ICF Capsule
M. K. Matzen, T. W. Hussey, et al., internal Sandia reports (1980)V.P Smirnoff, Plasma Phys. Controlled Fusion 33, 1697, (1991)
M. K. Matzen, Phys. Plasmas 4, 1519 (1997)J.H. Brownell, R.L. Bowers, et al. Phys. Plasmas 5, 2071, (1998)
J. S. Lash et al., Proc. Inertial Fusion Sci. App. 99 (Paris: Elsevier) p 583 (2000)T.A. Mehlhorn, Plasma Phys. Control. Fusion 45, 1–11 (2003)
High yield design54 MA530 MJ
APS/DPP November 15, 2004; 15
Dramatic progress with dynamic hohlraums has enabled the first z-pinch driven hot dense capsule implosions
integrated 2D simulations
2000 2001 2002 2003 2004
dynamic hohlraum interior
measurements
Ar spectra
neutron measurements
symmetry data
thermonuclear neutrons confirmed
ablator scaling
experiments
symmetry control
40 kJ absorbed
APS/DPP November 15, 2004; 16
The primary radiation source is a thin radiating shock in the foam converter
tungsten plasma
6 mm
CH2 foamradiating shockcapsule Z670 Simulated image
• Measured annular shock width ~200 µm• Shock is circular to within ± 1 - 4%• No evidence of magnetic Rayleigh-Taylor
imprint on shock
J. E. Bailey, et al., Phys. Rev. Lett. 89, 095004 (2002)
APS/DPP November 15, 2004; 17
R.W. Lemke, et al., Phys. Plasmas, to be published, (Jan 2005)
The primary radiation source is a thin radiating shock in the foam converter
tungsten plasma
6 mm
CH2 foamradiating shockcapsule
Black = dataRed = simulation
t=-6.09 ns
t=-5.15 ns
APS/DPP November 15, 2004; 18
Orthogonal time- and space-resolving spectrometers can reconstruct 2-D electron density and temperature
J.E. Bailey et al., Phys. Rev. Lett. 92, 085002 (2004)
The electron temperature and density deduced from the Argon K-shell spectra is 1 keV, 2x1023 cm-3
APS/DPP November 15, 2004; 19
Neutron energy, yield, and isotropy are consistent with thermonuclear production mechanism
C.L. Ruiz et al., Phys. Rev. Lett. 93, 015001 (2004)
ampl
itude
time (nsec)250 350 450
detector at 742 cm
detector at 839 cm
V ~ 2.16 cm/nsecE ~ 2.47 MeVEDD = 2.45 MeV
YN = 2.9 + 1.6 x1010
record DD yieldfrom X-ray drive
1D prediction:YN ~ 6 x 1010
14 nsec fwhmTi ~ 4.5 keV
“standard” fill(20 atm D2 + 0.085 atm Ar)
APS/DPP November 15, 2004; 20
Xe fill gas quenches the implosion, substantiating the thermonuclear origin of the neutrons
ampl
itude
time (ns)250 350 450
“standard” fill + 0.6 atm Xe
APS/DPP November 15, 2004; 21
Sophisticated simulations, target fabrication, and diagnostics are required to improve symmetry
•2D integrated LASNEX simulations: a shaped convertor improves the radiation symmetry, drive temperature, and neutron yield
.341.7 ± .5 x 10115 x 1011Shaped foam
.35.42 ± .13 x 10111.2 x 1011Unshaped foamRatioExperimentSimulation
0-
100-
Rad
iatio
n te
mpe
ratu
re (e
V)200-
300-
Time (ns)
shaped
unshaped
APS/DPP November 15, 2004; 22
The Double-Ended Hohlraum (DEH) configuration is an excellent testbed for radiation symmetry studies
Z-pinch energetics, pulse shaping, balance, and simultaneity
hohlraum energetics, radiation coupling, and symmetry
single-sided power feed on Z
two-sided power feed
capsule preheat, energetics, stability, and implosions
Two 63 MA pinches380 MJ yield
J. Hammer et al., Phys. Plasmas 6, 2129 (1999) M. Cuneo et al., Phys. Plasmas 8, 2257 (2001)D. Hanson et al., Phys. Plasmas 9, 2173 (2002)
APS/DPP November 15, 2004; 23
Radiation symmetry experiments have been enabled by the development of a single-sided
power feed, double-pinch load for Z
Upper primary hohlraum Tr ( t )
Lower primary hohlraum Tr ( t )
Shot-to-shot variation in peak hohlraum Tris less than ± 5% instrumental error
M. E. Cuneo et al., Phys. Rev. Lett. 88, 215004 (2002)
13 shots
15 shots
Wire array hardware
APS/DPP November 15, 2004; 24
We diagnose radiation asymmetry on Z with x-ray point-projection backlighting of an imploding capsule
Z-Beamlet Laser beam
Target foil
X-ray film
Polar axis
Capsule in double z-pinch hohlraum
Capsule drive asymmetry expressed in terms of low-order Legendre modes Pℓ
+P2
+P4
-P2
-P4Example in-flight backlit images of capsules driven by dominant modes:
G. R. Bennett et al., Rev. Sci. Instr. 72, 657 (2001)G. R. Bennett et al., Phys. Rev. Lett. 89, 245002 (2002)
APS/DPP November 15, 2004; 25
Experiments with 2-mm capsules demonstrate the ability to zero out the P2 asymmetry and Cr > 13
( )1CaP
r2
34
2 −−
≅
Equator hot
Pole hot
Experimental 6.7 keV x-ray backlit images
R. A. Vesey et al., Phys. Plasmas 10, 1854 (2003) G. R. Bennett et al., Phys. Plasmas 10, 3717 (2003)
Cr > 13
Secondary hohlraum length/radius
Infer drive asymmetry from capsule distortion:
APS/DPP November 15, 2004; 26
Symmetry experiments on Z provide a range of data to validate hohlraum simulations
P4 vs. length and capsule size compared to viewfactor calculations
Rcc = 5.8
Rcc = 4.1
Case:capsule ratio, Rcc = 8.9
Secondary hohlraum length/radius
Viewfactor and 2D LASNEX simulations are complementary tools for design and interpretation of experiments on Z and beyond
2D LASNEX Radiation-MHD
Backlit capsule distortion vs. angle
LASNEX
data
Rcc = 8.9
Rcc = 4.1
APS/DPP November 15, 2004; 27
Larger 4.7-mm diameter capsules test symmetry control at relevant case-to-capsule ratios of ~ 4
Unshimmed capsules Shimmed capsules
Inferred drive asymmetry
P2 = - 4 %P4 = - 6-8 %
P2 = + 5-6 %P4 = - 3-4 %
This technique is relevant to heavy-ion fusion, z-pinch fusion, and NIF
• Measured P4 for small case to capsule ratios are all negative, ranging from -3% to -8%
• D. Callahan (LLNL) designed experiments to validate removal of early time radiation asymmetry by angle-dependent shims (Nucl. Inst. Meth. A, 2004)
• A. Nikroo (GA) developed the angle-dependent shim overcoating technique
APS/DPP November 15, 2004; 28
Pulsed-power drivers support a diverse research portfolio of ignition and high yield, high gain ICF options
Non-cryogenicCryogenic
Double shellFast ignitionHot spot ignition
Vacuum hohlraum
Dynamic hohlraum
Driver ICF Target
X-ray drive
APS/DPP November 15, 2004; 29
Integrated experiments at ILE show efficient heating
• Nine drive beams, 2.5 kJ• 1/2 PW ignition beam• Deuterated plastic
target
300 J short pulse doubled the core plasma temp to 0.8 keV
250µm
X-ray image
Cone Target
104
106
108
0.1 1
Neu
tron
Yie
ld
Heating Laser Power (PW)
c
Rqd timing ~50ps
0
100
200
-200 -100 0 100 200
Enha
ncem
ent o
f Ny
(a.u
.)
Av.
Den
sity
(g/c
c)
Injection Timing (ps)
0
10
5
a
2.25 2.35 2.45 2.55 2.65
Neu
tron
Sig
nal (
a.u.
)
Energy [MeV]
0
1.0
0.5
b
T~0.8 keV
ILE Osaka
R. Kodama, et al., Nature 412, 798 (2001).
APS/DPP November 15, 2004; 30
Hemispherical implosions are being developed on Z for fast ignition fuel assembly
φ2.0mm, 60µm thkGDP hemi-shell on
flat gold surface
φ2.0mm, 60µm thkGDP hemi-shell on30µm thk gold disc
φ3.0mm, 110µm thkGDP hemi-shell on
8 deg surface
φ3.0mm, 110µm thkGDP hemi-shell on
12 deg surface
Capsule images obtained withZBL point-projection backlighting
and 6.151 keV monochromatic crystal imaging
R. A. Vesey, et al., Phys. Plasmas, (2003).D. L. Hanson, et al., Proc. IFSA 2003. R. A. Vesey, et al., submitted to FS&T (2004).
D. B. Sinars, et al., Rev. Sci. Instrum 75, 3672 (2004)
APS/DPP November 15, 2004; 31
Hemispherical capsule provides a uniquely convenient mount for a cryogenic liquid fuel target
Petawatt laser access
70 µm CH outer
ablator shell
Liquid DD or DT
capillary fill tube 0.3 atm
19.5 K for DD
CH inner shell3-5 µm thick
M. Knudson, D. L. Hanson, et al., Phys. Rev. Lett., (2001).D. L. Hanson, et al., submitted to FS&T (2004).
Successful test of condensation of liquid D2in outer ablator shell at 19.5 K
19.5 K
100 K300 K
First Z experiments planned for March 2005
APS/DPP November 15, 2004; 32
Fast ignition experiments for Z are being designed with analytic models and multidimensional simulations
• 2D MHD simulations show cryogenic liquid fuel can be compressed to high density– ρmax ~ 300 g/cc; ρz ~ 2 g/cm2
• LSP (3D hybrid PIC code) simulates high energy, high power laser matter interactions– Benchmarked with GEKKO/PW data
• Analytic models have been developed to assess Efusion/Edeposited
R. A. Vesey, et al., submitted to FS&T (2004).
R. B. Campbell, et al., submitted to Phys.Rev.Lett. (2004).
S. A. Slutz, et al., Phys. Plasmas 11, 3483 (2004).
APS/DPP November 15, 2004; 33
High current pulsed power accelerators drive many different load configurations
Z-pinch x-ray source
High Current
Magnetic pressureCurrent
B-Field
JxB Force
wire array
ICF
J x x x x xx B
Radiation Science Material Properties
APS/DPP November 15, 2004; 34
Z experiments extend laboratory opacity measurements beyond T ~ 150 eV for the first time
spectrometer
sample
radiationsource
X-rays
7.0 9.0 13.011.0λ (Angstroms)
trans
mis
sion
0.4
0.0
0.2
0.6
Fe + Mg transmission at Te ~ 160 eV, ne ~ 1022 cm-3
Fe XVII-IXX
Mg XI
radiation convection
Prior data; T< 50 eV
Goal:180eV, 1023 e/cc
Solar Model
Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000.
Charge state distribution for iron: Cloudy1-D simulation vs. experimental result
See e.g. Phys. Rev. Lett. 93, 055002 (2004) by M.E. Foord, R.F. Heeter, et al., (an LLNL – Sandia – Queen’s Univ. Belfast – Oxford University Collaboration).
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.1
8.5 9 9.5 1 0 10.5 1 1 11.5 1 2
Tra
nsm
issi
on
Wavelength (Å)
1s2
-1s5
p1
s2-1
s4p
1s2
-1s3
p 1s-
2p
1s2
-1s2
p
Na
Fe XVII Fe XVIII F IX
1s-
5p
1s-
4p
2s-
6p
2s-
5p
2p
-9d
2p
-8d
2p
-7d
2p
-6d
2p
-5d
2p
-6d
2p
-5d
2p
-4d
G. Ferland’s code Cloudy (b. 1978) is now used in over 70 astro publications/year
Absorption spectra indicate L-shell Fe(+16), K-shell Na(+9) and F(+8) were produced
Scaling these plasmas into the laboratory requires the photoionizingX-ray flux (Γrad) be dominant over collisional ionization (~Νe):Astrophysical Plasma ExperimentNFeL = 1017 cm-2 (match absorption) NFeL = 1017 cm-2
Ne = 102 cm-3 (equilibrium, no 3-body) Ne = 1019 cm-3 (few ns)ξionµΓrad/Νe = 1−1000 (photoionization) ξionµΓrad/Νe = 20
An Active Galaxy’s Nucleus
Blackhole
Fe+25 Fe+16
Emission
Absorption
Z-pinch
Emission
Absorption
ExpandedFe/F/Na foil
Experiments at Sandia Z Facility
Plasmas in Photoionization Equilibrium include neutron star and black hole accretion disks and, now, tamped Fe:NaF foils illuminated by Z-pinch X-rays
The new laboratory data are now being used to benchmark models which have been developed by X-ray astrophysicists for over 25 years, as well as HED plasma codes
APS/DPP November 15, 2004; 36
In addition to astrophysical relevance and basic science, jet data can help benchmark various
radiation-hydrodynamics codes used in HEDP/ICF
Jets from young stars
Z1378 (77 ns)
Structure behind jet is due to shearing between Al pin and Au washer that RAGE is not doing correctly
RAGE (80 ns)
RAGE (70 ns)
RAGE (60 ns)
Z jet experiments have been designed with Los Alamos’ RAGE code (Radiation Adaptive Grid Eulerian)
X-raydrive
280 mg/cc foam
150 µm Au
300 µm x 600 µm Al pin
[Bennett et al. EP1.015]
10 µm resolution over 4x20 mm image
APS/DPP November 15, 2004; 37
High current pulsed power accelerators drive many different load configurations
Z-pinch x-ray source
High Current
Magnetic pressureCurrent
B-Field
JxB Force
wire array
ICF
J x x x x xx B
Radiation Science Flyer PlateIsentropicCompression
XXXXXX
APS/DPP November 15, 2004; 38
B = µ0 J
P = B 2 / 2 µ0
• Shockless loading for 200-300 ns• Multiple experiments/shot (4-12)
• Identical loading (A-B comparison)• Versatile (simultaneous Lo/Hi T)
The (quasi) isentropic loading technique is providing new opportunities for material property studies
0
50
100
150
200
250
300
8.9 9.2 9.5 9.8 10.1
Density (g/cc)Pr
essu
re (k
bar)
Copper
Continuousloading
J x x x x xx B
Sample
Anode
Cathode
Gap
Velocity interferometry
APS/DPP November 15, 2004; 39
We have measured an isentrope to 2.5 Mbar for Al, and have demonstrated the measurement of a phase boundary
0
50
100
150
200
250
2.5 3.5 4.5 5.5ρ (g/cc)
σx
- 2Y 1
/3 (G
Pa)
3700 Hugoniot3719 Isentrope3700 Isentropeexperimenterror -error +
Y1 is yield at σx =1.5 GPa
0.0
0.1
0.2
0.3
0.4
0.5
0.4 0.5 0.6 0.7 0.8time (µs)
win
dow
vel
ocity
(km
/s)
T i = 340 K T i = 490 K
β-γ transition
<100> single-crystal Snsapphire window
300
400
500
600
700
0 2 4 6 8 10pressure (GPa)
tem
pera
ture
(K)
liquidγ -solid ct(8)
β -solid ct(4)490 K
340 K
Aluminum
Tin
J. P. Davis [EI2.004]
APS/DPP November 15, 2004; 40
Achieving high flyer plate velocities is the result of close coupling between simulations and experiments
predictedmeasured
shapedcurrent
flyervelocity
Max(B) ~ 11 MG; Max(B2/8π) ~ 4.9 Mbar
Flyer Plate
X
XX
X
XX
B Field
Target
Flyer plate accelerated to 33 km/s
APS/DPP November 15, 2004; 41
Peak velocity of flyer useful for EOS experiments increased by factor of ~1.7 via pulse shaping
Measured drive current Measured flyer velocity 850 µm Al
• Shaping the current pulse enabled:– Deuterium EOS to 1.4 Mbar– High-Z Hugoniot expts to > 20 Mbar– Al strength measurements to 2.4 Mbar
• J. P. Davis [EI2.004]
shaped (4.9 Mbar)
no shaping (2.2 Mbar)
with shaping (no shock)
no shaping (shock)
A fraction of flyer remains at solid density for accurate EOS measurements
APS/DPP November 15, 2004; 42
Data to 1.4 Mbar obtained on liquid D2helps resolve discrepancy in high-pressure response
Density Compression
2 3 4 5 6 7
Pres
sure
(GPa
)
0
50
100
150TBRossSesame 72LaserDesjarlaisKerley 03Russian (l)Russian (s)van ThielDickNellisZPIMC
M.D. Knudson, et al., Phys. Rev. Lett. 87, 225501 (2001); Phys. Rev. B 69, 144209 (2004)Particle Velocity (km/s)
10 15 20 25
Shoc
k Ve
loci
ty (k
m/s
)
10
15
20
25
30
APS/DPP November 15, 2004; 43
Independent, self-consistent measurements for D2are in agreement with ab-initio models to 1.4 Mbar
ti / tr2.5 3.0 3.5 4.0
Shoc
k Ve
loci
ty (k
m/s
)
12
16
20
24
28
Deuterium Shock Velocity (km/s)
10 15 20 25 30
Sapp
hire
Sho
ck V
eloc
ity (k
m/s
)
10
11
12
13
14
15
16
17
Density Compression
3 4 5
Pres
sure
(GPa
)
0
50
100
150Reverberation Re-shock PressurePrincipal Hugoniot
0
0.05
0.1
0.15
0.2
800 810 820 830 840 850 860 870 880
Time (ns)
Inte
nsity
(A.U
.)
Shock1 2
Tem
pera
ture
(eV
)
0.4
0.6
0.8
1.0
1.2
1.4KerleySNL GGARoss/YoungZ Data
HugoniotTemperature
Re-shockTemperature
APS/DPP November 15, 2004; 44
Outline
• Introduction• Inertial Confinement Fusion
– High temperature implosions– Symmetry of radiation drive– Fast ignition
• Radiation science• Material properties• Z-pinch physics/ALEGRA• Ongoing capability enhancements
– Z-Refurbishment– Z-Beamlet to high power (Z-Petawatt)
• Z-Pinch Inertial Fusion Energy
APS/DPP November 15, 2004; 45
Material: WArray Diameter: 20 mm, 300 wiresArray Height: 10 mmWire Ф: 11.5 µmArray Mass: 6 mg
A set of six laser shadowgraphs, registered in both space and time, provides a great basis for insight into
the dynamics of wire array implosions on Z
APS/DPP November 15, 2004; 46
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Comparison with the trajectory of the effective current radius from an inductance unfold.
Waisman, Cuneo, et al.,Phys. Plasmas, 11, 2009 (2004)
Cuneo, Waisman, et al.,submitted to Phys. Rev. E
Trajectory of inner boundary can be fit to constant acceleration,
a = 1.18x1013 m s-2
Wavelength grows linearly with time.
to= – 42.5 nsλ(t=0) = 1.5 mm
Amplitude grows approximately exponentially with time, reaching ~6-7 mm
at peak.
Analysis of the growth of the magnetic Instability during the implosion phase
APS/DPP November 15, 2004; 59
We are using x-ray backlighting to measure the mass profile and instability growth during wire-array implosions
X-ray backlightingOptical shadowgraphy
D.B. Sinars et al., Phys. Rev. Lett. 93, 145002 (2004).
Correlated instabilities and axially non-uniform breakup of wires contribute to the creation of trailing mass and limit peak radiation powers
APS/DPP November 15, 2004; 60
A wide range of z-pinch implosion phenomena are now being studied in detail
Wire breakup and development of
correlated instabilities
Trailing mass caused by non-uniform wire breakup
Evolution of axial instabilities
Mass profile
near the axis
D.B. Sinars et al., EI2.002
APS/DPP November 15, 2004; 61
The ALEGRA-HEDP predictive design and analysis capability enables effective use of Z
ALEGRA-HEDP
Z-pinches as x-ray sources
Magnetic flyers for EOS
Algorithms
Meshing
Visualization
Platforms
1DΦ
2DΦ
1DBΦ
1BΦ
1AΦ
2DBΦ
2AΦ2
BΦ 0x
1x
2x
3x
t∆v
APS/DPP November 15, 2004; 62
Accurate material models are necessary for quantitative/predictive simulations
System level
Atomistic level
Wire-array experimentsICF targetsMesoscopic level
Density Functional TheoryAtomistic dynamicsQuantum MechanicsNo adjustable parameters
Conductivity
EOS
Opacity
Material properties span > 10 orders of magnitude!
M DesjarlaisInvited talk
EI2.005
APS/DPP November 15, 2004; 63
ALEGRA-HEDP 3D 8-wire z-pinch implosion calculation
[Movie of 3D 8-wire array calculation]
APS/DPP November 15, 2004; 64
ALEGRA-HEDP 30-wire 2D MHD with IMC radiation and 9-slot return current structure
[Movie of 2D r-theta 30-wire array calculation]
APS/DPP November 15, 2004; 65
ZR - Refurbishing the Z pulsed power facility
Optimize Intermediate Store
Incorporate Modern Gas
Switch Design
Optimize Transmission LinesUpgrade Power
Flow for Higher Stresses, Improve Diagnostic Access
Incorporate New Laser Triggering System
Improve Diagnostics Infrastructure Access
Replace Capacitors -Double Energy Stored
Optimize Pulse Forming Line & Water Switches
TEC = $61,710k; FY07 completion
APS/DPP November 15, 2004; 66
Z-Refurbishment Project Objectives
ImprovedPrecision,
Flexibility
Higher Capability
-- Current
MoreCapacity
-- Shots
• Extend lifetime and utility of the Z pulsed power facility– Increase shot capacity to meet demands– Increase precision for high quality data for code validation– Increase current capability to meet future temperature, x-ray power
and energy, and equation of state requirements
APS/DPP November 15, 2004; 67
Higher current will provide increased capability
Capability Z today After Refurbishment
Peak load current reproducibility ± 5 % ± 2 % Pulse shaping flexibility Minimal Significant Variability Peak Current 18 MA 26 MA Power Radiated (Nested Arrays) 230 TW 350 TW Energy Radiated (Single Array) 1.6 MJ 2.7 MJ
Increased capability will be applied to:Hot spot Inertial Confinement FusionFast ignition Radiation hydrodynamicsOpacityMaterial response to radiation fluenceDynamic material properties
APS/DPP November 15, 2004; 68
The Z-Beamlet laser is being upgraded to providea high energy PW laser for use on Sandia’s Z facility
Z-Beamlet multikilojoule laser facility
• The Z-Beamlet laser is being upgraded to provide a 2-4 kJ, 1-10 psec short pulse laser– high energy radiography– fast ignition experiments– ultra-intense short pulse HED science
Fast Ignitor
6 keV radiograph presently available
20 keV radiograph available with an
HEPW laser system
APS/DPP November 15, 2004; 69
Pulsed power facilities are versatile platforms for HEDP and ICF science
Density Compression
3 4 5
Pres
sure
(GPa
)
0
50
100
150