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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 Matzen American Physical Society, Division of Plasma Physics Savannah, Georgia November 15, 2004

Pulsed-Power-Driven High Energy Density Physics and Inertial

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Page 1: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 2: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 3: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 4: Pulsed-Power-Driven High Energy Density Physics and Inertial

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)

Page 5: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 6: Pulsed-Power-Driven High Energy Density Physics and Inertial

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)

Page 7: Pulsed-Power-Driven High Energy Density Physics and Inertial

APS/DPP November 15, 2004; 7

The Z pulsed power facility

[Movie of Z and wire array implosions]

Page 8: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 9: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 10: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 11: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 12: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 13: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 14: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 15: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 16: Pulsed-Power-Driven High Energy Density Physics and Inertial

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)

Page 17: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 18: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 19: Pulsed-Power-Driven High Energy Density Physics and Inertial

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)

Page 20: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 21: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 22: Pulsed-Power-Driven High Energy Density Physics and Inertial

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)

Page 23: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 24: Pulsed-Power-Driven High Energy Density Physics and Inertial

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)

Page 25: Pulsed-Power-Driven High Energy Density Physics and Inertial

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:

Page 26: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 27: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 28: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 29: Pulsed-Power-Driven High Energy Density Physics and Inertial

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).

Page 30: Pulsed-Power-Driven High Energy Density Physics and Inertial

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)

Page 31: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 32: Pulsed-Power-Driven High Energy Density Physics and Inertial

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).

Page 33: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 34: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 35: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 36: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 37: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 38: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 39: Pulsed-Power-Driven High Energy Density Physics and Inertial

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]

Page 40: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 41: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 42: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

Page 43: Pulsed-Power-Driven High Energy Density Physics and Inertial

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

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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

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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

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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

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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

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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

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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

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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

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ALEGRA-HEDP 3D 8-wire z-pinch implosion calculation

[Movie of 3D 8-wire array calculation]

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ALEGRA-HEDP 30-wire 2D MHD with IMC radiation and 9-slot return current structure

[Movie of 2D r-theta 30-wire array calculation]

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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

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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

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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

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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

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Pulsed power facilities are versatile platforms for HEDP and ICF science

Density Compression

3 4 5

Pres

sure

(GPa

)

0

50

100

150