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Joint Institute for High Temperatures Russian Academy of Sciences, Moscow JIHT of RAS Shock, ablation and formation of nanostructures in metals induced by femtosecond laser S.I. Ashitkov, P.S.Komarov, N.A. Inogamov, V.V. Zhakhovsky, M.B.


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SLIDE 1

Shock, ablation and formation of nanostructures in metals induced by femtosecond laser

S.I. Ashitkov, P.S.Komarov, N.A. Inogamov, V.V. Zhakhovsky, M.B. Agranat, G.I. Kanel

Joint Institute for High Temperatures Russian Academy of Sciences, Moscow

JIHT of RAS

Santa Fe, NM, USA, April 21-25, 2014

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SLIDE 2

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MOTIVATION

Laser matter interaction/ experiment and modeling

Materials behavior near the theoretical limit of shear and bulk strength Development of a theory of plasticity and fracture Femtosecond laser surface nanostructuring

  • OUTLINE

Shock compression of aluminum and iron in picosecond range.

  • super elastic shock waves at submicron scale
  • achievement of ultimate values of the shear and bulk strength
  • possibility of α→ε polymorphic phase transition in iron

Frontal ablation and rear side spallation of aluminum.

Formation of nanostructures: MD simulations and experiment

JIHT of RAS

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SLIDE 3

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Shock compression of metals. Appearance of material properties in a free surface history. Shock wave structure.

Diagnostics of shock phenomena are performed by measuring a free surface velocity profile of a tested sample. Free surface velocity history In plate impact experiment*.

*G.I. Kanel', V. E. Fortov,S.V. Razorenov Physics-Uspekhi 50, (8) (2007)

Time t, µs Free Surface Velocity ufs, km/s 13 GPa

∆ufs

Armco-iron 2.46 mm

α→ε polymorphic phase transition in iron: (bcc → hcp crystal structure transition) Transition stress ≈13GPa in a microsecond range Reflection of shock compression pulse from the free surface leads to appearance of the tensile stresses inside of the sample causing fracture. Value of spall strength is determined from: 2 /

e fs e S HEL

u U ∆ = ρ σ Splitting of shock wave into elastic precursor (HEL) and plastic compression wave makes it possible to determine the plasticflow stress of the material. 2 / ) ( δ ρ σ + ∆ =

fs S spall

u U

JIHT of RAS

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SLIDE 4

Ultrafast Chirped Pulse Interferometry

0.5 1 1.5 2.0 2.5 200 100 200 Time, ps

Position y, µm

Phase shift, rad 100

  • Detected range 0 ÷ 240 ps
  • Temporal resolution 1ps
  • Lateral spatial resolution 2 µm
  • Displacement accuracy 1÷2 nm
  • Measurements in a single shot

Amplifier Compressоr Stretcher Oscillator

Probe 300 ps

8 1 1 2 1 4 1 6 1 8 2
  • 1
, 0
, 5 , 0 , 5 1 , 0 C A

Sample

CCD

Pump 100 fs

Imaging Spectrometer Acton 2300i Imaging Michelson interferometr

Femtosecond Ti:S laser (Legend, Coherent, USA)

Time t, ps

790 810 770 80 160 240

Probe wavelength, nm Time t, ps

790 810 770 80 160 240

Probe wavelength, nm

JIHT of RAS

In contrast to multipulse pump–probe methods the single-pulse technique ensures much higherreliability of the measurements and can be used to analyze the reproducibility and statistics

  • f shock wave phenomena in thin film

samples. Application of Fourier processing of interference patterns and comparison

  • f phase distributions obtained before

and during shock wave arrival ensure measurement of surface displacement with nanometric accuracy.

2D Fourier processing

  • f interference patterns

Spatial-temporal phase distribution

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SLIDE 5

Time and spatial resolved diagnostics of a rear surface displacement

Samples: metallic films, deposited by magnetron spattering onto glass substrates

  • f 150 µm in thick

) , ( t y ϕ ∆

Phase distributions at the rear surface of iron targets of different thicknesses after shock breakout

d1 d2

pump 100 fs chirped probe 300 ps

80 100 120 140 160 180 200

  • 0,5

0,5 1

C

Ti:S laser

Glass substrate Metal film Gaussian spot Ø=40 µm Phase shift, rad

200 100 0.5 1 1.5 2 0.5 1 1.5 2 250 200 150 50 100 250 200 150 50 100

Time t, ps Position y, a.u.

Fe, 250 nm Fe, 540 nm

50 100 150 200 250 50 100 150

Displacement, nm Time t, ps

Al

500 nm 1200 nm

Free surface displacement histories

π ϕ λ 4 / ) , ( ) ( ) , ( t y t t y z ∆ = ∆

JIHT of RAS

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SLIDE 6

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Elastic-plastic shock wave in iron

50 100 150 200 0,0 0,2 0,4 0,6 0,8 1,0 1,2 1,4

540 nm

Fe Shot # 8

Free Surface Velocity, km/s Time, ps HEL PSW

Splitting of shock into elastic-plastic two-wave configuration at propagation distance of 540 nm Free surface displacement and velocity history at different stress

Ti:S laser: 100fs, 3 J/cm

50 100 150 200 20 40 60 80 100

Displacement z, nm

Time t, ps

Fe, Shot#8

540 nm

Sample: 99.9 purity iron film 540 nm in thick deposited on glass substrate

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SLIDE 7

Evolution of laser driven shock waves in Al and Fe at a submicron scale. Elastic Hugoniout

50 100 150 200 250 0,0 0,4 0,8 1,2 1,6 2,0

Free Surface Velocity, km/s Time, ps 500 nm 1200 nm Al, 3J/cm2 7.1 km/s

8 GPa 14 GPa

50 100 150 200 0,0 0,5 1,0 1,5 2,0 Fe, 3 J/cm2 250 nm 540 nm Free Surface Velocity, km/s Time, ps

6.4 km/s

HEL HEL 27 GPa 13 GPa

Free surface velocity histories

0,00 0,25 0,50 0,75 1,00 5 6 7 8

US = 5.35 + 1.34 up USE = 6.44 + 1.4 up

US, km/s up, km/s

  • In iron splitting of shock

wave into two-zone elastic-plastic configuration was observed

  • In aluminum pure elastic wave

was detected at stress up to 14 GPa with parameters rise time of 1-2 ps US – up diagrams. Elastic Hugoniout.

JIHT of RAS

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SLIDE 8

P – V diagrams. Shear strength of aluminum and iron

7.5 GPa up to 7.9 GPa

Fe

3.4 GPa up to 3.2 GPa

Al

Theoretical limit Experimental value

)) ( ) ( ( 4 3 V p V

z

− = σ τ

Recorded states in elastic shock waves (points) in aluminum and iron films Maximum shear stress at uniaxial compression:

)) ( ) ( ( 4 3 V p V

z

− = σ τ

0,80 0,85 0,90 0,95 1,00 5 10 15 20 σz - p = 2.4 GPa

τ = 1.8 GPa Bulk: US = 5.35 + 1.34 up Elastic: US = 6.44 + 1.4 up σ, GPa

V/V0

σz - p = 4.3 GPa

τ = 3.2 GPa

Al

JIHT of RAS

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SLIDE 9

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Decay of the elastic precursor in aluminum and iron

S.I. Ashitkov, et al JETP Lett. 98, 384(2013) J.C.Crowhurst, et al J.Appl. Phys. 115, 113506 (2014) 10

  • 3

10

  • 2

10

  • 1

10 10

1

0,01 0,1 1 10

Al, HEL

Whitley, et al Gupta, et al Ashitkov, et al Garkushin, et al Arvidsson, et al Winey, et al

σHEL, GPa

Distance h, mm

Crowhurst, et al

083 . 2 45 . 1

) ( ) (

− −

+ = h h S h h S

HEL

σ

63 . 0)

(

= h h S

HEL

σ

Smith et al Kanel et al Ashitkov et al Crowhurst et al S.I.Ashitkov, et al JETP. Lett. 92, 516 (2010)

  • V. H. Whitley, et al J.Appl. Phys. 109, 013505 (2011)

J.C.Crowhurst, et al Phys.Rew.Lett. 107, 144302 (2011)

  • Super elastic shock waves with the stress >10 GPa were detected at submicron propagation distance
  • Decay of the elastic precursor is connected with plastic strain rate :

l p x

c G dh d γ σ & 3 4

HEL

− =

p

γ&

(G - shear modulus )

JIHT of RAS

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SLIDE 10

The α → ε phase transition in iron at strain rate ~109 s-1

JIHT of RAS, 2013

Fe, 0.5 µm

Laser, 100 fs t Px

Glass

50 ps

Sample: Fe film on a glass substrate Fe

  • HEL = 13-14 GPa at propagation distance 0.54 µm
  • deviatoric stress 4.5 GPa
  • PSW stress is up to 23GPa
  • observation of a trend to splitting PSW into two waves
  • but α→ε polymorphic transition in iron

isn’t realized within 20 ps

2

LLNL Livermore, 2013

Fe

  • HEL = 10-12 GPa at propagation distance 1.2-1.6 µm
  • deviatoric stress exceeds 3 GPa
  • transition stress is up to 25GPa
  • α→ε polymorphic transition in iron

is realized within 100 ps

J.C. Crowhurst et al, J.Appl. Phys. 115, 113506 (2014) Fe, >1µm

Laser, 300 ps t Px

Glass

300 ps

Sample: Fe film on a glass substrate

Fe 1.6 µm 1.2 µm 100 ps

JIHT of RAS

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SLIDE 11

Spall strength of aluminum and iron at strain rate ~ 108 - 109 s-1

2

fs fs l spall

u u b c ∆ ∆ − = ) 2 ( 2 1 ρ σ

c u V V

fs 2

/ & & =

S.I.Ashitkov, et al JETP. Lett. 92, 516 (2010) nonlinearity of compressibility

Strain rate

Ideal strength 28 GPa

50 100 150 200 250 50 100 150 0,0 0,5 1,0 1,5

760 nm

Al

1200 nm

Displacement z, nm Time, ps

F=2J/cm

2

∆ufs

Free Surface Velocity, km/s

∆ufs

Free surface velocity histories indicate spallation at a pure elastic uniaxial compression in a picosecond range

JIHT of RAS

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SLIDE 12

2

N.A. Inogamov, et al Contr.Plasma Phys. 53, 796 (2013)

(a) - density map(b-e) - atomic order map: solid (green), liquid (red)

Expansion of foam,breaking of membranes, and freezing the remnants of membranes near the transit between foam and continuous metal. Result of long large-scale MD simulation of a sample with dimensions LxLyLz = 500x240x24 nm3 and 172x106 atoms. Laser: 100 fs; F/F abl =1.5 SEM images of ablation crater at a surface of gold sample. Laser: 100 fs; F/Fabl=1.5

Formation of nanostructures on metal surface after femtosecond laser irradiance above ablation threshold

15 µm 1.5 µm

JIHT of RAS

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SLIDE 13

Dynamics of surface layer expansion during femtosecond ablation of aluminum

2

chirped probe 300 ps

80 100 120 140 160 180 200

  • 0,5

Glass substrate Al film 760 nm

Ti:S laser

pump 100 fs Gaussian spot Ø=40 µm F0 = 0.9 J/cm2

0.1 0.2 0.3

Phase shift, rad

x, a.u.

Time, ps

120

Temporal spatial phase distribution

80 100 120 140 160 180 5 10 15 20

Displacement z, nm Time t, ps F/ Fa=1.2 F/ Fa=0.9 F/ Fa=0.7 Al

40 nm

Crater 50 µm

Profile of ablation crater Displacement history

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Ablation threshold 0.7 J/cm2

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SLIDE 14

Frontal and rear side spallation in aluminum

500 1000 1500 2000 2500 3000 4 6 8 10 12 14 16

ρ c 10 5, gcm-2c-1

T, K Tm=933 K

Al

Solid Liquid

45 2.5±0.5 3· 109 3.6 2.16 Liquid (2kK) 250 7.7±0.5 2· 109 6.4 2.71 Solid (300 K) LSpall, nm σSpall,, GPa , s-1 c, km/s ρ, gcc Al

2 / ) (

max min

t t c Lspall − =

Map of local atomic order Frontal and rear surface velocity history

experiment MD

2 / u c

spall

∆ = ρ σ

Frontal surface Rear surface

JIHT of RAS

ε &

c u fs 2 & & = ε

50 100 150 0,0 0,2 0,4 0,6 0,8 1,0 1,2 1,4

∆u=0.65km/s

Surface Velocity u, km/s Time t, ps

Rear Surface Al, 760nm Frontal Surface

∆u=1 km/s

F=2.1 J/cm2 F=0.9 J/cm2

Ti:S laser, 100 fs

* * N.A.Inogamov et al JETP Lett 91 (2010)

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SUMMARY

Single shot interferometric diagnostics was realized to measure surface displacement history with temporal resolution of 1 ps. Experimentally found that uniaxial shock compression in picosecond range is elastic up to stress

  • f 14 GPa in aluminum and 27 GPa in iron.

The stressed states in aluminum and iron, very close to the values of ultimate shear and bulk strength were measured and implemented in picosecond range of load duration The α→ε polymorphic phase transition in iron film of 540 nm in thick isn’t realized at a stress of 23 GPa within 20 ps after HEL From the expansion surface history the value of tensile stress of about 2.5 GPa leads to spallation

  • f liquid layer of aluminum just above the ablation threshold under femtosecond heating was

measured. The results of long large-scale MD simulations of nanostructures formation at metal surface after it’s irradiance of femtosecond laser is well similar to SEM images of ablation crater’s morphology

JIHT of RAS

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Thank you for your attention!