Abstract

Ultrafast laser-induced melting in a gold thin film is simulated by an integrated continuum-atomistic method with the extended Drude model for dynamic optical properties. The local order parameter of atoms is used to identify solid and liquid regions. It is shown that the film is superheated in the early nonequilibrium stage and the melted region grows very quickly with a very high rate of melting up to 13,300m/s. It is also found that the continuum approach could significantly underestimate the ultrafast phase-change response, and temperature-dependent optical properties should be considered in atomic-level modeling for ultrafast laser heating.

© 2012 Optical Society of America

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  1. M. M. Murnane, H. C. Kapteyn, and R. W. Falcone, Phys. Rev. Lett. 62, 155 (1989).
    [CrossRef]
  2. A. H. Zewail, Angew. Chem., Int. Ed. 39, 2586 (2000).
    [CrossRef]
  3. U. K. Tirlapur and K. König, Nature 418, 290 (2002).
    [CrossRef]
  4. M. D. Shirk and P. A. Molian, J. Laser Appl. 10, 18 (1998).
    [CrossRef]
  5. F. Korte, J. Koch, and B. N. Chichkov, Appl. Phys. A 79, 879 (2004).
    [CrossRef]
  6. C. Wang, H. Huo, M. Johnson, M. Shen, and E. Mazur, Nanotech. 21, 75304 (2010).
    [CrossRef]
  7. X. F. Xu, C. R. Cheng, and I. H. Chowdhury, ASME Trans. J. Heat Transfer 126, 727 (2004).
    [CrossRef]
  8. Y. P. Meshcheryakov and N. M. Bulgakova, Appl. Phys. A 82, 363 (2006).
    [CrossRef]
  9. Y. Ren, J. K. Chen, and Y. Zhang, Appl. Phys. Lett. 98, 191105 (2011).
    [CrossRef]
  10. Y. Gan and J. K. Chen, Appl. Phys. Lett. 94, 201116 (2009).
    [CrossRef]
  11. Y. Gan and J. K. Chen, Mech. Mater. 42, 491 (2010).
    [CrossRef]
  12. D. S. Ivanov and L. V. Zhigilei, Phys. Rev. B 68, 064114 (2003).
    [CrossRef]
  13. L. Jiang and H. L. Tsai, Int. J. Heat Mass Transfer 50, 3461 (2007).
    [CrossRef]
  14. A. Vial, A.-S. Grimault, D. Macias, D. Barchiesi, and M. L. de la Chapelle, Phys. Rev. B 71, 085416 (2005).
    [CrossRef]
  15. M. Fox, Optical Properties of Solids (Oxford University, 2001).
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    [CrossRef]
  17. J. K. Chen, W. P. Latham, and J. E. Beraun, J. Laser Appl. 17, 63 (2005).
    [CrossRef]
  18. S. M. Foiles, M. I. Baskes, and M. S. Daw, Phys. Rev. B 33, 7983 (1986).
    [CrossRef]
  19. Z. Lin, L. V. Zhigilei, and V. Celli, Phys. Rev. B 77, 075133 (2008).
    [CrossRef]
  20. D. S. Ivanov and L. V. Zhigilei, Phys. Rev. Lett. 91, 105701 (2003).
    [CrossRef]
  21. P. Lorazo, L. J. Lewis, and M. Meunier, Phys. Rev. B 73, 134108 (2006).
    [CrossRef]
  22. Z. Lin and L. V. Zhigilei, Phys. Rev. B 73, 184113 (2006).
    [CrossRef]
  23. L. V. Zhigilei, Z. Lin, and D. S. Ivanov, J. Phys. Chem. C 113, 11892 (2009).
    [CrossRef]
  24. L.-S. Kuo and T. Qiu, in ASME National Heat Transfer Division (ASME, 1996), pp. 149.

2011 (1)

Y. Ren, J. K. Chen, and Y. Zhang, Appl. Phys. Lett. 98, 191105 (2011).
[CrossRef]

2010 (2)

Y. Gan and J. K. Chen, Mech. Mater. 42, 491 (2010).
[CrossRef]

C. Wang, H. Huo, M. Johnson, M. Shen, and E. Mazur, Nanotech. 21, 75304 (2010).
[CrossRef]

2009 (2)

Y. Gan and J. K. Chen, Appl. Phys. Lett. 94, 201116 (2009).
[CrossRef]

L. V. Zhigilei, Z. Lin, and D. S. Ivanov, J. Phys. Chem. C 113, 11892 (2009).
[CrossRef]

2008 (1)

Z. Lin, L. V. Zhigilei, and V. Celli, Phys. Rev. B 77, 075133 (2008).
[CrossRef]

2007 (1)

L. Jiang and H. L. Tsai, Int. J. Heat Mass Transfer 50, 3461 (2007).
[CrossRef]

2006 (3)

Y. P. Meshcheryakov and N. M. Bulgakova, Appl. Phys. A 82, 363 (2006).
[CrossRef]

P. Lorazo, L. J. Lewis, and M. Meunier, Phys. Rev. B 73, 134108 (2006).
[CrossRef]

Z. Lin and L. V. Zhigilei, Phys. Rev. B 73, 184113 (2006).
[CrossRef]

2005 (2)

A. Vial, A.-S. Grimault, D. Macias, D. Barchiesi, and M. L. de la Chapelle, Phys. Rev. B 71, 085416 (2005).
[CrossRef]

J. K. Chen, W. P. Latham, and J. E. Beraun, J. Laser Appl. 17, 63 (2005).
[CrossRef]

2004 (2)

F. Korte, J. Koch, and B. N. Chichkov, Appl. Phys. A 79, 879 (2004).
[CrossRef]

X. F. Xu, C. R. Cheng, and I. H. Chowdhury, ASME Trans. J. Heat Transfer 126, 727 (2004).
[CrossRef]

2003 (3)

J. K. Chen, J. E. Beraun, and C. L. Tham, Numer. Heat Transfer, Part A 44, 705 (2003).
[CrossRef]

D. S. Ivanov and L. V. Zhigilei, Phys. Rev. B 68, 064114 (2003).
[CrossRef]

D. S. Ivanov and L. V. Zhigilei, Phys. Rev. Lett. 91, 105701 (2003).
[CrossRef]

2002 (1)

U. K. Tirlapur and K. König, Nature 418, 290 (2002).
[CrossRef]

2000 (1)

A. H. Zewail, Angew. Chem., Int. Ed. 39, 2586 (2000).
[CrossRef]

1998 (1)

M. D. Shirk and P. A. Molian, J. Laser Appl. 10, 18 (1998).
[CrossRef]

1989 (1)

M. M. Murnane, H. C. Kapteyn, and R. W. Falcone, Phys. Rev. Lett. 62, 155 (1989).
[CrossRef]

1986 (1)

S. M. Foiles, M. I. Baskes, and M. S. Daw, Phys. Rev. B 33, 7983 (1986).
[CrossRef]

Barchiesi, D.

A. Vial, A.-S. Grimault, D. Macias, D. Barchiesi, and M. L. de la Chapelle, Phys. Rev. B 71, 085416 (2005).
[CrossRef]

Baskes, M. I.

S. M. Foiles, M. I. Baskes, and M. S. Daw, Phys. Rev. B 33, 7983 (1986).
[CrossRef]

Beraun, J. E.

J. K. Chen, W. P. Latham, and J. E. Beraun, J. Laser Appl. 17, 63 (2005).
[CrossRef]

J. K. Chen, J. E. Beraun, and C. L. Tham, Numer. Heat Transfer, Part A 44, 705 (2003).
[CrossRef]

Bulgakova, N. M.

Y. P. Meshcheryakov and N. M. Bulgakova, Appl. Phys. A 82, 363 (2006).
[CrossRef]

Celli, V.

Z. Lin, L. V. Zhigilei, and V. Celli, Phys. Rev. B 77, 075133 (2008).
[CrossRef]

Chen, J. K.

Y. Ren, J. K. Chen, and Y. Zhang, Appl. Phys. Lett. 98, 191105 (2011).
[CrossRef]

Y. Gan and J. K. Chen, Mech. Mater. 42, 491 (2010).
[CrossRef]

Y. Gan and J. K. Chen, Appl. Phys. Lett. 94, 201116 (2009).
[CrossRef]

J. K. Chen, W. P. Latham, and J. E. Beraun, J. Laser Appl. 17, 63 (2005).
[CrossRef]

J. K. Chen, J. E. Beraun, and C. L. Tham, Numer. Heat Transfer, Part A 44, 705 (2003).
[CrossRef]

Cheng, C. R.

X. F. Xu, C. R. Cheng, and I. H. Chowdhury, ASME Trans. J. Heat Transfer 126, 727 (2004).
[CrossRef]

Chichkov, B. N.

F. Korte, J. Koch, and B. N. Chichkov, Appl. Phys. A 79, 879 (2004).
[CrossRef]

Chowdhury, I. H.

X. F. Xu, C. R. Cheng, and I. H. Chowdhury, ASME Trans. J. Heat Transfer 126, 727 (2004).
[CrossRef]

Daw, M. S.

S. M. Foiles, M. I. Baskes, and M. S. Daw, Phys. Rev. B 33, 7983 (1986).
[CrossRef]

de la Chapelle, M. L.

A. Vial, A.-S. Grimault, D. Macias, D. Barchiesi, and M. L. de la Chapelle, Phys. Rev. B 71, 085416 (2005).
[CrossRef]

Falcone, R. W.

M. M. Murnane, H. C. Kapteyn, and R. W. Falcone, Phys. Rev. Lett. 62, 155 (1989).
[CrossRef]

Foiles, S. M.

S. M. Foiles, M. I. Baskes, and M. S. Daw, Phys. Rev. B 33, 7983 (1986).
[CrossRef]

Fox, M.

M. Fox, Optical Properties of Solids (Oxford University, 2001).

Gan, Y.

Y. Gan and J. K. Chen, Mech. Mater. 42, 491 (2010).
[CrossRef]

Y. Gan and J. K. Chen, Appl. Phys. Lett. 94, 201116 (2009).
[CrossRef]

Grimault, A.-S.

A. Vial, A.-S. Grimault, D. Macias, D. Barchiesi, and M. L. de la Chapelle, Phys. Rev. B 71, 085416 (2005).
[CrossRef]

Huo, H.

C. Wang, H. Huo, M. Johnson, M. Shen, and E. Mazur, Nanotech. 21, 75304 (2010).
[CrossRef]

Ivanov, D. S.

L. V. Zhigilei, Z. Lin, and D. S. Ivanov, J. Phys. Chem. C 113, 11892 (2009).
[CrossRef]

D. S. Ivanov and L. V. Zhigilei, Phys. Rev. Lett. 91, 105701 (2003).
[CrossRef]

D. S. Ivanov and L. V. Zhigilei, Phys. Rev. B 68, 064114 (2003).
[CrossRef]

Jiang, L.

L. Jiang and H. L. Tsai, Int. J. Heat Mass Transfer 50, 3461 (2007).
[CrossRef]

Johnson, M.

C. Wang, H. Huo, M. Johnson, M. Shen, and E. Mazur, Nanotech. 21, 75304 (2010).
[CrossRef]

Kapteyn, H. C.

M. M. Murnane, H. C. Kapteyn, and R. W. Falcone, Phys. Rev. Lett. 62, 155 (1989).
[CrossRef]

Koch, J.

F. Korte, J. Koch, and B. N. Chichkov, Appl. Phys. A 79, 879 (2004).
[CrossRef]

König, K.

U. K. Tirlapur and K. König, Nature 418, 290 (2002).
[CrossRef]

Korte, F.

F. Korte, J. Koch, and B. N. Chichkov, Appl. Phys. A 79, 879 (2004).
[CrossRef]

Kuo, L.-S.

L.-S. Kuo and T. Qiu, in ASME National Heat Transfer Division (ASME, 1996), pp. 149.

Latham, W. P.

J. K. Chen, W. P. Latham, and J. E. Beraun, J. Laser Appl. 17, 63 (2005).
[CrossRef]

Lewis, L. J.

P. Lorazo, L. J. Lewis, and M. Meunier, Phys. Rev. B 73, 134108 (2006).
[CrossRef]

Lin, Z.

L. V. Zhigilei, Z. Lin, and D. S. Ivanov, J. Phys. Chem. C 113, 11892 (2009).
[CrossRef]

Z. Lin, L. V. Zhigilei, and V. Celli, Phys. Rev. B 77, 075133 (2008).
[CrossRef]

Z. Lin and L. V. Zhigilei, Phys. Rev. B 73, 184113 (2006).
[CrossRef]

Lorazo, P.

P. Lorazo, L. J. Lewis, and M. Meunier, Phys. Rev. B 73, 134108 (2006).
[CrossRef]

Macias, D.

A. Vial, A.-S. Grimault, D. Macias, D. Barchiesi, and M. L. de la Chapelle, Phys. Rev. B 71, 085416 (2005).
[CrossRef]

Mazur, E.

C. Wang, H. Huo, M. Johnson, M. Shen, and E. Mazur, Nanotech. 21, 75304 (2010).
[CrossRef]

Meshcheryakov, Y. P.

Y. P. Meshcheryakov and N. M. Bulgakova, Appl. Phys. A 82, 363 (2006).
[CrossRef]

Meunier, M.

P. Lorazo, L. J. Lewis, and M. Meunier, Phys. Rev. B 73, 134108 (2006).
[CrossRef]

Molian, P. A.

M. D. Shirk and P. A. Molian, J. Laser Appl. 10, 18 (1998).
[CrossRef]

Murnane, M. M.

M. M. Murnane, H. C. Kapteyn, and R. W. Falcone, Phys. Rev. Lett. 62, 155 (1989).
[CrossRef]

Qiu, T.

L.-S. Kuo and T. Qiu, in ASME National Heat Transfer Division (ASME, 1996), pp. 149.

Ren, Y.

Y. Ren, J. K. Chen, and Y. Zhang, Appl. Phys. Lett. 98, 191105 (2011).
[CrossRef]

Shen, M.

C. Wang, H. Huo, M. Johnson, M. Shen, and E. Mazur, Nanotech. 21, 75304 (2010).
[CrossRef]

Shirk, M. D.

M. D. Shirk and P. A. Molian, J. Laser Appl. 10, 18 (1998).
[CrossRef]

Tham, C. L.

J. K. Chen, J. E. Beraun, and C. L. Tham, Numer. Heat Transfer, Part A 44, 705 (2003).
[CrossRef]

Tirlapur, U. K.

U. K. Tirlapur and K. König, Nature 418, 290 (2002).
[CrossRef]

Tsai, H. L.

L. Jiang and H. L. Tsai, Int. J. Heat Mass Transfer 50, 3461 (2007).
[CrossRef]

Vial, A.

A. Vial, A.-S. Grimault, D. Macias, D. Barchiesi, and M. L. de la Chapelle, Phys. Rev. B 71, 085416 (2005).
[CrossRef]

Wang, C.

C. Wang, H. Huo, M. Johnson, M. Shen, and E. Mazur, Nanotech. 21, 75304 (2010).
[CrossRef]

Xu, X. F.

X. F. Xu, C. R. Cheng, and I. H. Chowdhury, ASME Trans. J. Heat Transfer 126, 727 (2004).
[CrossRef]

Zewail, A. H.

A. H. Zewail, Angew. Chem., Int. Ed. 39, 2586 (2000).
[CrossRef]

Zhang, Y.

Y. Ren, J. K. Chen, and Y. Zhang, Appl. Phys. Lett. 98, 191105 (2011).
[CrossRef]

Zhigilei, L. V.

L. V. Zhigilei, Z. Lin, and D. S. Ivanov, J. Phys. Chem. C 113, 11892 (2009).
[CrossRef]

Z. Lin, L. V. Zhigilei, and V. Celli, Phys. Rev. B 77, 075133 (2008).
[CrossRef]

Z. Lin and L. V. Zhigilei, Phys. Rev. B 73, 184113 (2006).
[CrossRef]

D. S. Ivanov and L. V. Zhigilei, Phys. Rev. Lett. 91, 105701 (2003).
[CrossRef]

D. S. Ivanov and L. V. Zhigilei, Phys. Rev. B 68, 064114 (2003).
[CrossRef]

Angew. Chem., Int. Ed. (1)

A. H. Zewail, Angew. Chem., Int. Ed. 39, 2586 (2000).
[CrossRef]

Appl. Phys. A (2)

Y. P. Meshcheryakov and N. M. Bulgakova, Appl. Phys. A 82, 363 (2006).
[CrossRef]

F. Korte, J. Koch, and B. N. Chichkov, Appl. Phys. A 79, 879 (2004).
[CrossRef]

Appl. Phys. Lett. (2)

Y. Ren, J. K. Chen, and Y. Zhang, Appl. Phys. Lett. 98, 191105 (2011).
[CrossRef]

Y. Gan and J. K. Chen, Appl. Phys. Lett. 94, 201116 (2009).
[CrossRef]

ASME Trans. J. Heat Transfer (1)

X. F. Xu, C. R. Cheng, and I. H. Chowdhury, ASME Trans. J. Heat Transfer 126, 727 (2004).
[CrossRef]

Int. J. Heat Mass Transfer (1)

L. Jiang and H. L. Tsai, Int. J. Heat Mass Transfer 50, 3461 (2007).
[CrossRef]

J. Laser Appl. (2)

J. K. Chen, W. P. Latham, and J. E. Beraun, J. Laser Appl. 17, 63 (2005).
[CrossRef]

M. D. Shirk and P. A. Molian, J. Laser Appl. 10, 18 (1998).
[CrossRef]

J. Phys. Chem. C (1)

L. V. Zhigilei, Z. Lin, and D. S. Ivanov, J. Phys. Chem. C 113, 11892 (2009).
[CrossRef]

Mech. Mater. (1)

Y. Gan and J. K. Chen, Mech. Mater. 42, 491 (2010).
[CrossRef]

Nanotech. (1)

C. Wang, H. Huo, M. Johnson, M. Shen, and E. Mazur, Nanotech. 21, 75304 (2010).
[CrossRef]

Nature (1)

U. K. Tirlapur and K. König, Nature 418, 290 (2002).
[CrossRef]

Numer. Heat Transfer, Part A (1)

J. K. Chen, J. E. Beraun, and C. L. Tham, Numer. Heat Transfer, Part A 44, 705 (2003).
[CrossRef]

Phys. Rev. B (6)

P. Lorazo, L. J. Lewis, and M. Meunier, Phys. Rev. B 73, 134108 (2006).
[CrossRef]

Z. Lin and L. V. Zhigilei, Phys. Rev. B 73, 184113 (2006).
[CrossRef]

D. S. Ivanov and L. V. Zhigilei, Phys. Rev. B 68, 064114 (2003).
[CrossRef]

A. Vial, A.-S. Grimault, D. Macias, D. Barchiesi, and M. L. de la Chapelle, Phys. Rev. B 71, 085416 (2005).
[CrossRef]

S. M. Foiles, M. I. Baskes, and M. S. Daw, Phys. Rev. B 33, 7983 (1986).
[CrossRef]

Z. Lin, L. V. Zhigilei, and V. Celli, Phys. Rev. B 77, 075133 (2008).
[CrossRef]

Phys. Rev. Lett. (2)

D. S. Ivanov and L. V. Zhigilei, Phys. Rev. Lett. 91, 105701 (2003).
[CrossRef]

M. M. Murnane, H. C. Kapteyn, and R. W. Falcone, Phys. Rev. Lett. 62, 155 (1989).
[CrossRef]

Other (2)

M. Fox, Optical Properties of Solids (Oxford University, 2001).

L.-S. Kuo and T. Qiu, in ASME National Heat Transfer Division (ASME, 1996), pp. 149.

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Figures (6)

Fig. 1.
Fig. 1.

Snapshots of irradiated film side.

Fig. 2.
Fig. 2.

Snapshot of vaporized atoms from the irradiated film surface.

Fig. 3.
Fig. 3.

Snapshots for heterogeneous melting. The snapshots are 60 nm thick with the right edge 860 nm away from the rear film surface.

Fig. 4.
Fig. 4.

Melting depth as a function of time.

Fig. 5.
Fig. 5.

Profile of lattice temperature along the z axis at 5 ps.

Fig. 6.
Fig. 6.

Rate of melting.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

CeTet=z(KeTez)G(TeTl)+S(z,t),
mid2ridt2=FiξmiviT+Bi,
S(z,t)=0.94J0[1R(0,t)]tpα(z,t)exp[0zα(z,t)dz2.77(t2tptp)2],
εDL(ω)=εωp2ω(ω+iγD)fΩL2(ω2ΩL2)+iΓLω,

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