Abstract

We develop a model that describes the effect of size distribution of nanoabsorbers on the subsurface of fused silica on laser-damage probability. Using Mie theory and heat equation, we obtain the correlation between the critical fluence and particle radius. Considering a power law distribution of nanoabsorbers, the curves of laser-damage probability are calculated based on experimental results of contents of contaminations and a fit parameter of size distribution of nanoabsorbers. This paper presents the influence of various potential candidates, jointly, on laser-induced damage.

© 2012 OSA

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  1. M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
    [CrossRef]
  2. J. Neauport, L. Lamaignere, H. Bercegol, F. Pilon, and J. C. Birolleau, “Polishing-induced contamination of fused silica optics and laser induced damage density at 351 nm,” Opt. Express 13(25), 10163–10171 (2005).
    [CrossRef] [PubMed]
  3. B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
    [CrossRef] [PubMed]
  4. T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
    [CrossRef]
  5. P. E. Miller, J. D. Bude, T. I. Suratwala, N. Shen, T. A. Laurence, W. A. Steele, J. Menapace, M. D. Feit, and L. L. Wong, “Fracture-induced subbandgap absorption as a precursor to optical damage on fused silica surfaces,” Opt. Lett. 35(16), 2702–2704 (2010).
    [CrossRef] [PubMed]
  6. S. Papernov, A. W. Schmid, R. Krishnan, and L. Tsybeskov, “Using colloidal gold nanoparticles for studies of laser interaction with defects in thin films,” Proc. SPIE 4347, 146–154 (2001).
    [CrossRef]
  7. F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
    [CrossRef]
  8. S. Papernov and A. W. Schmid, “Correlations between embedded single gold nanoparticles in SiO2 thin film and nanoscale crater formation induced by pulsed-laser radiation,” J. Appl. Phys. 92(10), 5720–5728 (2002).
    [CrossRef]
  9. P. Jonnard, G. Dufour, J. L. Rullier, J. P. Morreeuw, and J. Donohue, “Surface density enhancement of gold in silica film under laser irradiation at 355 nm,” Appl. Phys. Lett. 85(4), 591–593 (2004).
    [CrossRef]
  10. J. Y. Natoli, L. Gallais, B. Bertussi, A. During, M. Commandre, J. L. Rullier, F. Bonneau, and P. Combis, “Localized pulsed laser interaction with submicronic gold particles embedded in silica: a method for investigating laser damage initiation,” Opt. Express 11(7), 824–829 (2003).
    [CrossRef] [PubMed]
  11. R. Hopper and D. Uhlmann, “Mechanism of inclusion damage in laser glass,” J. Appl. Phys. 41(10), 4023–4037 (1970).
    [CrossRef]
  12. M. D. Feit and A. M. Rubenchik, “Implications of nanoabsorber initiators for damage probability curves, pulselength scaling and laser conditioning,” Proc. SPIE 5273, 74–82 (2004).
    [CrossRef]
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    [CrossRef] [PubMed]
  16. C. W. Carr, J. D. Bude, and P. DeMange, “Laser-supported solid-state absorption fronts in silica,” Phys. Rev. B 82(18), 184304 (2010).
    [CrossRef]
  17. J. Y. Natoli, L. Gallais, H. Akhouayri, and C. Amra, “Laser-induced damage of materials in bulk, thin-film, and liquid forms,” Appl. Opt. 41(16), 3156–3166 (2002).
    [CrossRef] [PubMed]
  18. H. Krol, L. Gallais, C. Grezes-Besset, J. Y. Natoli, and M. Commandre, “Investigation of nanoprecursors threshold distribution in laser-damage testing,” Opt. Commun. 256(1–3), 184–189 (2005).
    [CrossRef]
  19. J. B. Trenholme, M. D. Feit, and A. M. Rubenchik, “Size-selection initiation model extended to include shape and random factors,” Proc. SPIE 5991, 325–336 (2005).
    [CrossRef]
  20. L. Gallais, J. Capoulade, J. Y. Natoli, and M. Commandré, “Investigation of nanodefect properties in optical coatings by coupling measured and simulated laser damage statistics,” J. Appl. Phys. 104(5), 053120 (2008).
    [CrossRef]

2012 (1)

2010 (2)

2009 (1)

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

2008 (1)

L. Gallais, J. Capoulade, J. Y. Natoli, and M. Commandré, “Investigation of nanodefect properties in optical coatings by coupling measured and simulated laser damage statistics,” J. Appl. Phys. 104(5), 053120 (2008).
[CrossRef]

2005 (3)

H. Krol, L. Gallais, C. Grezes-Besset, J. Y. Natoli, and M. Commandre, “Investigation of nanoprecursors threshold distribution in laser-damage testing,” Opt. Commun. 256(1–3), 184–189 (2005).
[CrossRef]

J. B. Trenholme, M. D. Feit, and A. M. Rubenchik, “Size-selection initiation model extended to include shape and random factors,” Proc. SPIE 5991, 325–336 (2005).
[CrossRef]

J. Neauport, L. Lamaignere, H. Bercegol, F. Pilon, and J. C. Birolleau, “Polishing-induced contamination of fused silica optics and laser induced damage density at 351 nm,” Opt. Express 13(25), 10163–10171 (2005).
[CrossRef] [PubMed]

2004 (2)

M. D. Feit and A. M. Rubenchik, “Implications of nanoabsorber initiators for damage probability curves, pulselength scaling and laser conditioning,” Proc. SPIE 5273, 74–82 (2004).
[CrossRef]

P. Jonnard, G. Dufour, J. L. Rullier, J. P. Morreeuw, and J. Donohue, “Surface density enhancement of gold in silica film under laser irradiation at 355 nm,” Appl. Phys. Lett. 85(4), 591–593 (2004).
[CrossRef]

2003 (1)

2002 (3)

J. Y. Natoli, L. Gallais, H. Akhouayri, and C. Amra, “Laser-induced damage of materials in bulk, thin-film, and liquid forms,” Appl. Opt. 41(16), 3156–3166 (2002).
[CrossRef] [PubMed]

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

S. Papernov and A. W. Schmid, “Correlations between embedded single gold nanoparticles in SiO2 thin film and nanoscale crater formation induced by pulsed-laser radiation,” J. Appl. Phys. 92(10), 5720–5728 (2002).
[CrossRef]

2001 (1)

S. Papernov, A. W. Schmid, R. Krishnan, and L. Tsybeskov, “Using colloidal gold nanoparticles for studies of laser interaction with defects in thin films,” Proc. SPIE 4347, 146–154 (2001).
[CrossRef]

1998 (1)

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

1996 (1)

B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
[CrossRef] [PubMed]

1970 (1)

R. Hopper and D. Uhlmann, “Mechanism of inclusion damage in laser glass,” J. Appl. Phys. 41(10), 4023–4037 (1970).
[CrossRef]

Akhouayri, H.

Amra, C.

Bercegol, H.

J. Neauport, L. Lamaignere, H. Bercegol, F. Pilon, and J. C. Birolleau, “Polishing-induced contamination of fused silica optics and laser induced damage density at 351 nm,” Opt. Express 13(25), 10163–10171 (2005).
[CrossRef] [PubMed]

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Bertussi, B.

Birolleau, J. C.

Bonneau, F.

J. Y. Natoli, L. Gallais, B. Bertussi, A. During, M. Commandre, J. L. Rullier, F. Bonneau, and P. Combis, “Localized pulsed laser interaction with submicronic gold particles embedded in silica: a method for investigating laser damage initiation,” Opt. Express 11(7), 824–829 (2003).
[CrossRef] [PubMed]

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Broyer, M.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Bude, J. D.

P. E. Miller, J. D. Bude, T. I. Suratwala, N. Shen, T. A. Laurence, W. A. Steele, J. Menapace, M. D. Feit, and L. L. Wong, “Fracture-induced subbandgap absorption as a precursor to optical damage on fused silica surfaces,” Opt. Lett. 35(16), 2702–2704 (2010).
[CrossRef] [PubMed]

C. W. Carr, J. D. Bude, and P. DeMange, “Laser-supported solid-state absorption fronts in silica,” Phys. Rev. B 82(18), 184304 (2010).
[CrossRef]

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

Camp, D. W.

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

Capoulade, J.

L. Gallais, J. Capoulade, J. Y. Natoli, and M. Commandré, “Investigation of nanodefect properties in optical coatings by coupling measured and simulated laser damage statistics,” J. Appl. Phys. 104(5), 053120 (2008).
[CrossRef]

Carr, C. W.

C. W. Carr, J. D. Bude, and P. DeMange, “Laser-supported solid-state absorption fronts in silica,” Phys. Rev. B 82(18), 184304 (2010).
[CrossRef]

Carr, J.

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

Chen, N. J.

Combis, P.

J. Y. Natoli, L. Gallais, B. Bertussi, A. During, M. Commandre, J. L. Rullier, F. Bonneau, and P. Combis, “Localized pulsed laser interaction with submicronic gold particles embedded in silica: a method for investigating laser damage initiation,” Opt. Express 11(7), 824–829 (2003).
[CrossRef] [PubMed]

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Commandre, M.

Commandré, M.

L. Gallais, J. Capoulade, J. Y. Natoli, and M. Commandré, “Investigation of nanodefect properties in optical coatings by coupling measured and simulated laser damage statistics,” J. Appl. Phys. 104(5), 053120 (2008).
[CrossRef]

Cottancin, E.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

DeMange, P.

C. W. Carr, J. D. Bude, and P. DeMange, “Laser-supported solid-state absorption fronts in silica,” Phys. Rev. B 82(18), 184304 (2010).
[CrossRef]

Donohue, J.

P. Jonnard, G. Dufour, J. L. Rullier, J. P. Morreeuw, and J. Donohue, “Surface density enhancement of gold in silica film under laser irradiation at 355 nm,” Appl. Phys. Lett. 85(4), 591–593 (2004).
[CrossRef]

Donohue, J. T.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Dufour, G.

P. Jonnard, G. Dufour, J. L. Rullier, J. P. Morreeuw, and J. Donohue, “Surface density enhancement of gold in silica film under laser irradiation at 355 nm,” Appl. Phys. Lett. 85(4), 591–593 (2004).
[CrossRef]

During, A.

Feit, M. D.

P. E. Miller, J. D. Bude, T. I. Suratwala, N. Shen, T. A. Laurence, W. A. Steele, J. Menapace, M. D. Feit, and L. L. Wong, “Fracture-induced subbandgap absorption as a precursor to optical damage on fused silica surfaces,” Opt. Lett. 35(16), 2702–2704 (2010).
[CrossRef] [PubMed]

J. B. Trenholme, M. D. Feit, and A. M. Rubenchik, “Size-selection initiation model extended to include shape and random factors,” Proc. SPIE 5991, 325–336 (2005).
[CrossRef]

M. D. Feit and A. M. Rubenchik, “Implications of nanoabsorber initiators for damage probability curves, pulselength scaling and laser conditioning,” Proc. SPIE 5273, 74–82 (2004).
[CrossRef]

B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
[CrossRef] [PubMed]

Feldman, T.

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

Feng, G. Y.

Gallais, L.

L. Gallais, J. Capoulade, J. Y. Natoli, and M. Commandré, “Investigation of nanodefect properties in optical coatings by coupling measured and simulated laser damage statistics,” J. Appl. Phys. 104(5), 053120 (2008).
[CrossRef]

H. Krol, L. Gallais, C. Grezes-Besset, J. Y. Natoli, and M. Commandre, “Investigation of nanoprecursors threshold distribution in laser-damage testing,” Opt. Commun. 256(1–3), 184–189 (2005).
[CrossRef]

J. Y. Natoli, L. Gallais, B. Bertussi, A. During, M. Commandre, J. L. Rullier, F. Bonneau, and P. Combis, “Localized pulsed laser interaction with submicronic gold particles embedded in silica: a method for investigating laser damage initiation,” Opt. Express 11(7), 824–829 (2003).
[CrossRef] [PubMed]

J. Y. Natoli, L. Gallais, H. Akhouayri, and C. Amra, “Laser-induced damage of materials in bulk, thin-film, and liquid forms,” Appl. Opt. 41(16), 3156–3166 (2002).
[CrossRef] [PubMed]

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Gao, X.

Grezes-Besset, C.

H. Krol, L. Gallais, C. Grezes-Besset, J. Y. Natoli, and M. Commandre, “Investigation of nanoprecursors threshold distribution in laser-damage testing,” Opt. Commun. 256(1–3), 184–189 (2005).
[CrossRef]

Han, J. H.

Herman, S.

B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
[CrossRef] [PubMed]

Hopper, R.

R. Hopper and D. Uhlmann, “Mechanism of inclusion damage in laser glass,” J. Appl. Phys. 41(10), 4023–4037 (1970).
[CrossRef]

Hutcheon, I. D.

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

Jonnard, P.

P. Jonnard, G. Dufour, J. L. Rullier, J. P. Morreeuw, and J. Donohue, “Surface density enhancement of gold in silica film under laser irradiation at 355 nm,” Appl. Phys. Lett. 85(4), 591–593 (2004).
[CrossRef]

Kozlowski, M. R.

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

Krishnan, R.

S. Papernov, A. W. Schmid, R. Krishnan, and L. Tsybeskov, “Using colloidal gold nanoparticles for studies of laser interaction with defects in thin films,” Proc. SPIE 4347, 146–154 (2001).
[CrossRef]

Krol, H.

H. Krol, L. Gallais, C. Grezes-Besset, J. Y. Natoli, and M. Commandre, “Investigation of nanoprecursors threshold distribution in laser-damage testing,” Opt. Commun. 256(1–3), 184–189 (2005).
[CrossRef]

Lamaignere, L.

J. Neauport, L. Lamaignere, H. Bercegol, F. Pilon, and J. C. Birolleau, “Polishing-induced contamination of fused silica optics and laser induced damage density at 351 nm,” Opt. Express 13(25), 10163–10171 (2005).
[CrossRef] [PubMed]

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Laurence, T. A.

P. E. Miller, J. D. Bude, T. I. Suratwala, N. Shen, T. A. Laurence, W. A. Steele, J. Menapace, M. D. Feit, and L. L. Wong, “Fracture-induced subbandgap absorption as a precursor to optical damage on fused silica surfaces,” Opt. Lett. 35(16), 2702–2704 (2010).
[CrossRef] [PubMed]

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

Loiseau, M.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Menapace, J.

Miller, P. E.

P. E. Miller, J. D. Bude, T. I. Suratwala, N. Shen, T. A. Laurence, W. A. Steele, J. Menapace, M. D. Feit, and L. L. Wong, “Fracture-induced subbandgap absorption as a precursor to optical damage on fused silica surfaces,” Opt. Lett. 35(16), 2702–2704 (2010).
[CrossRef] [PubMed]

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

Morreeuw, J. P.

P. Jonnard, G. Dufour, J. L. Rullier, J. P. Morreeuw, and J. Donohue, “Surface density enhancement of gold in silica film under laser irradiation at 355 nm,” Appl. Phys. Lett. 85(4), 591–593 (2004).
[CrossRef]

Natoli, J. Y.

L. Gallais, J. Capoulade, J. Y. Natoli, and M. Commandré, “Investigation of nanodefect properties in optical coatings by coupling measured and simulated laser damage statistics,” J. Appl. Phys. 104(5), 053120 (2008).
[CrossRef]

H. Krol, L. Gallais, C. Grezes-Besset, J. Y. Natoli, and M. Commandre, “Investigation of nanoprecursors threshold distribution in laser-damage testing,” Opt. Commun. 256(1–3), 184–189 (2005).
[CrossRef]

J. Y. Natoli, L. Gallais, B. Bertussi, A. During, M. Commandre, J. L. Rullier, F. Bonneau, and P. Combis, “Localized pulsed laser interaction with submicronic gold particles embedded in silica: a method for investigating laser damage initiation,” Opt. Express 11(7), 824–829 (2003).
[CrossRef] [PubMed]

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

J. Y. Natoli, L. Gallais, H. Akhouayri, and C. Amra, “Laser-induced damage of materials in bulk, thin-film, and liquid forms,” Appl. Opt. 41(16), 3156–3166 (2002).
[CrossRef] [PubMed]

Neauport, J.

Papernov, S.

S. Papernov and A. W. Schmid, “Correlations between embedded single gold nanoparticles in SiO2 thin film and nanoscale crater formation induced by pulsed-laser radiation,” J. Appl. Phys. 92(10), 5720–5728 (2002).
[CrossRef]

S. Papernov, A. W. Schmid, R. Krishnan, and L. Tsybeskov, “Using colloidal gold nanoparticles for studies of laser interaction with defects in thin films,” Proc. SPIE 4347, 146–154 (2001).
[CrossRef]

Pellarin, M.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Pellin, M.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Perra, M.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Perry, M. D.

B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
[CrossRef] [PubMed]

Pilon, F.

Rubenchik, A. M.

J. B. Trenholme, M. D. Feit, and A. M. Rubenchik, “Size-selection initiation model extended to include shape and random factors,” Proc. SPIE 5991, 325–336 (2005).
[CrossRef]

M. D. Feit and A. M. Rubenchik, “Implications of nanoabsorber initiators for damage probability curves, pulselength scaling and laser conditioning,” Proc. SPIE 5273, 74–82 (2004).
[CrossRef]

B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
[CrossRef] [PubMed]

Rullier, J. L.

P. Jonnard, G. Dufour, J. L. Rullier, J. P. Morreeuw, and J. Donohue, “Surface density enhancement of gold in silica film under laser irradiation at 355 nm,” Appl. Phys. Lett. 85(4), 591–593 (2004).
[CrossRef]

J. Y. Natoli, L. Gallais, B. Bertussi, A. During, M. Commandre, J. L. Rullier, F. Bonneau, and P. Combis, “Localized pulsed laser interaction with submicronic gold particles embedded in silica: a method for investigating laser damage initiation,” Opt. Express 11(7), 824–829 (2003).
[CrossRef] [PubMed]

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Savina, M.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Schmid, A. W.

S. Papernov and A. W. Schmid, “Correlations between embedded single gold nanoparticles in SiO2 thin film and nanoscale crater formation induced by pulsed-laser radiation,” J. Appl. Phys. 92(10), 5720–5728 (2002).
[CrossRef]

S. Papernov, A. W. Schmid, R. Krishnan, and L. Tsybeskov, “Using colloidal gold nanoparticles for studies of laser interaction with defects in thin films,” Proc. SPIE 4347, 146–154 (2001).
[CrossRef]

Sheehan, L. M.

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

Shen, N.

P. E. Miller, J. D. Bude, T. I. Suratwala, N. Shen, T. A. Laurence, W. A. Steele, J. Menapace, M. D. Feit, and L. L. Wong, “Fracture-induced subbandgap absorption as a precursor to optical damage on fused silica surfaces,” Opt. Lett. 35(16), 2702–2704 (2010).
[CrossRef] [PubMed]

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

Shore, B. W.

B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
[CrossRef] [PubMed]

Steele, W. A.

P. E. Miller, J. D. Bude, T. I. Suratwala, N. Shen, T. A. Laurence, W. A. Steele, J. Menapace, M. D. Feit, and L. L. Wong, “Fracture-induced subbandgap absorption as a precursor to optical damage on fused silica surfaces,” Opt. Lett. 35(16), 2702–2704 (2010).
[CrossRef] [PubMed]

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

Stuart, B. C.

B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
[CrossRef] [PubMed]

Suratwala, T.

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

Suratwala, T. I.

Tang, C.

Torres, R. A.

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

Trenholme, J. B.

J. B. Trenholme, M. D. Feit, and A. M. Rubenchik, “Size-selection initiation model extended to include shape and random factors,” Proc. SPIE 5991, 325–336 (2005).
[CrossRef]

Tsybeskov, L.

S. Papernov, A. W. Schmid, R. Krishnan, and L. Tsybeskov, “Using colloidal gold nanoparticles for studies of laser interaction with defects in thin films,” Proc. SPIE 4347, 146–154 (2001).
[CrossRef]

Tuaillon, J.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Uhlmann, D.

R. Hopper and D. Uhlmann, “Mechanism of inclusion damage in laser glass,” J. Appl. Phys. 41(10), 4023–4037 (1970).
[CrossRef]

Vierne, J.

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

Wong, L. L.

Yan, M.

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

Zhou, S. H.

Appl. Opt. (2)

Appl. Phys. Lett. (2)

T. A. Laurence, J. D. Bude, N. Shen, T. Feldman, P. E. Miller, W. A. Steele, and T. Suratwala, “Metallic-like photoluminescence and absorption in fused silica surface flaws,” Appl. Phys. Lett. 94(15), 151114 (2009).
[CrossRef]

P. Jonnard, G. Dufour, J. L. Rullier, J. P. Morreeuw, and J. Donohue, “Surface density enhancement of gold in silica film under laser irradiation at 355 nm,” Appl. Phys. Lett. 85(4), 591–593 (2004).
[CrossRef]

J. Appl. Phys. (4)

F. Bonneau, P. Combis, J. L. Rullier, J. Vierne, M. Pellin, M. Savina, M. Broyer, E. Cottancin, J. Tuaillon, M. Pellarin, L. Gallais, J. Y. Natoli, M. Perra, H. Bercegol, L. Lamaignere, M. Loiseau, and J. T. Donohue, “Study of UV laser interaction with gold nanoparticles embedded in silica,” J. Appl. Phys. 75(8), 803–815 (2002).
[CrossRef]

S. Papernov and A. W. Schmid, “Correlations between embedded single gold nanoparticles in SiO2 thin film and nanoscale crater formation induced by pulsed-laser radiation,” J. Appl. Phys. 92(10), 5720–5728 (2002).
[CrossRef]

R. Hopper and D. Uhlmann, “Mechanism of inclusion damage in laser glass,” J. Appl. Phys. 41(10), 4023–4037 (1970).
[CrossRef]

L. Gallais, J. Capoulade, J. Y. Natoli, and M. Commandré, “Investigation of nanodefect properties in optical coatings by coupling measured and simulated laser damage statistics,” J. Appl. Phys. 104(5), 053120 (2008).
[CrossRef]

Opt. Commun. (1)

H. Krol, L. Gallais, C. Grezes-Besset, J. Y. Natoli, and M. Commandre, “Investigation of nanoprecursors threshold distribution in laser-damage testing,” Opt. Commun. 256(1–3), 184–189 (2005).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. B (1)

C. W. Carr, J. D. Bude, and P. DeMange, “Laser-supported solid-state absorption fronts in silica,” Phys. Rev. B 82(18), 184304 (2010).
[CrossRef]

Phys. Rev. B Condens. Matter (1)

B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, “Nanosecond-to-femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B Condens. Matter 53(4), 1749–1761 (1996).
[CrossRef] [PubMed]

Proc. SPIE (4)

S. Papernov, A. W. Schmid, R. Krishnan, and L. Tsybeskov, “Using colloidal gold nanoparticles for studies of laser interaction with defects in thin films,” Proc. SPIE 4347, 146–154 (2001).
[CrossRef]

J. B. Trenholme, M. D. Feit, and A. M. Rubenchik, “Size-selection initiation model extended to include shape and random factors,” Proc. SPIE 5991, 325–336 (2005).
[CrossRef]

M. D. Feit and A. M. Rubenchik, “Implications of nanoabsorber initiators for damage probability curves, pulselength scaling and laser conditioning,” Proc. SPIE 5273, 74–82 (2004).
[CrossRef]

M. R. Kozlowski, J. Carr, I. D. Hutcheon, R. A. Torres, L. M. Sheehan, D. W. Camp, and M. Yan, “Depth profiling of polishing-induced contamination on fused silica surface,” Proc. SPIE 3244, 365–375 (1998).
[CrossRef]

Other (2)

M. J. Weber, Handbook of Optical Materials (CRC, 2002).

H. C. Hulst, Light Scattering by Small Particles (Wiley, 1957).

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Figures (5)

Fig. 1
Fig. 1

Absorptivity calculated with Mie theory for various particles on the subsurface of fused silica

Fig. 2
Fig. 2

Evolution of temperature at various particle-silica interfaces with particle radius of 5 nm.

Fig. 3
Fig. 3

Critical fluence calculated for various particles on the subsurface of fused silica.

Fig. 4
Fig. 4

Experimental curves of laser-damage probability measured on the front surface of fused silica

Fig. 5
Fig. 5

Experimental curves of laser-damage probability measured on the front surface of fused silica and theoretical curves calculated with the parameter γ = 34

Tables (2)

Tables Icon

Table 1 Material thermal and optical parameters used in calculation

Tables Icon

Table 2 The contents of main impurities on the subsurface (3~5 μm) of fused silica

Equations (11)

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

1 D i T i t = 1 r 2 r ( r 2 T i r )+ 1 C i 3Q 4π a 3   0r<a,t>0
  1 D s T s t =   1 r 2 r ( r 2 T s r ) r>a,t>0
  T i = T s =0 C i T i r = C s T s r r=a
n k ( a )= ( γ1 ) N k a min,k 1γ a max,k 1γ a γ
V k = a min,k a max,k 4 3 π a 3 n k ( a )da
V k = 4 3 π ( γ1 ) N k a min,k 1γ a max,k 1γ ln( a max,k a min,k )
V k = 4π 3( 4γ ) ( γ1 ) N k a min,k 1γ a max,k 1γ ( a max,k 4γ a min,k 4γ )
n k ( a )={ 3 V k a γ 4π [ ln( a max,k a min,k ) ] 1 γ=4 3( 4γ ) V k a γ 4π [ a max,k 4γ a min,k 4γ ] 1 γ4
0 g( F c,k )d F c,k = N k
N( F )= k N k ( F ) = k 0 F g( F c,k ) S F c,k ( F )d F c,k
P( F )=1exp( N( F ) )

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