Threshold of femtosecond laser-induced damage in transparent materials
Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanic...
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Gespeichert in:
| Autor*in: |
Jia, T.Q. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2002 |
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| Systematik: |
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| Anmerkung: |
© Springer-Verlag 2001 |
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| Übergeordnetes Werk: |
Enthalten in: Applied physics. A, Materials science & processing - Springer-Verlag, 1981, 74(2002), 4 vom: Apr., Seite 503-507 |
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| Übergeordnetes Werk: |
volume:74 ; year:2002 ; number:4 ; month:04 ; pages:503-507 |
| Links: |
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| DOI / URN: |
10.1007/s003390100903 |
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OLC2074157517 |
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| 520 | |a Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. | ||
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10.1007/s003390100903 doi (DE-627)OLC2074157517 (DE-He213)s003390100903-p DE-627 ger DE-627 rakwb eng 530 620 VZ 530 VZ UA 9001.A VZ rvk Jia, T.Q. verfasserin aut Threshold of femtosecond laser-induced damage in transparent materials 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. Li, R.X. aut Liu, Z. aut Xu, Z.Z. aut Enthalten in Applied physics. A, Materials science & processing Springer-Verlag, 1981 74(2002), 4 vom: Apr., Seite 503-507 (DE-627)129861340 (DE-600)283365-7 (DE-576)015171930 0947-8396 nnns volume:74 year:2002 number:4 month:04 pages:503-507 https://doi.org/10.1007/s003390100903 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 UA 9001.A AR 74 2002 4 04 503-507 |
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10.1007/s003390100903 doi (DE-627)OLC2074157517 (DE-He213)s003390100903-p DE-627 ger DE-627 rakwb eng 530 620 VZ 530 VZ UA 9001.A VZ rvk Jia, T.Q. verfasserin aut Threshold of femtosecond laser-induced damage in transparent materials 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. Li, R.X. aut Liu, Z. aut Xu, Z.Z. aut Enthalten in Applied physics. A, Materials science & processing Springer-Verlag, 1981 74(2002), 4 vom: Apr., Seite 503-507 (DE-627)129861340 (DE-600)283365-7 (DE-576)015171930 0947-8396 nnns volume:74 year:2002 number:4 month:04 pages:503-507 https://doi.org/10.1007/s003390100903 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 UA 9001.A AR 74 2002 4 04 503-507 |
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10.1007/s003390100903 doi (DE-627)OLC2074157517 (DE-He213)s003390100903-p DE-627 ger DE-627 rakwb eng 530 620 VZ 530 VZ UA 9001.A VZ rvk Jia, T.Q. verfasserin aut Threshold of femtosecond laser-induced damage in transparent materials 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. Li, R.X. aut Liu, Z. aut Xu, Z.Z. aut Enthalten in Applied physics. A, Materials science & processing Springer-Verlag, 1981 74(2002), 4 vom: Apr., Seite 503-507 (DE-627)129861340 (DE-600)283365-7 (DE-576)015171930 0947-8396 nnns volume:74 year:2002 number:4 month:04 pages:503-507 https://doi.org/10.1007/s003390100903 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 UA 9001.A AR 74 2002 4 04 503-507 |
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10.1007/s003390100903 doi (DE-627)OLC2074157517 (DE-He213)s003390100903-p DE-627 ger DE-627 rakwb eng 530 620 VZ 530 VZ UA 9001.A VZ rvk Jia, T.Q. verfasserin aut Threshold of femtosecond laser-induced damage in transparent materials 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. Li, R.X. aut Liu, Z. aut Xu, Z.Z. aut Enthalten in Applied physics. A, Materials science & processing Springer-Verlag, 1981 74(2002), 4 vom: Apr., Seite 503-507 (DE-627)129861340 (DE-600)283365-7 (DE-576)015171930 0947-8396 nnns volume:74 year:2002 number:4 month:04 pages:503-507 https://doi.org/10.1007/s003390100903 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 UA 9001.A AR 74 2002 4 04 503-507 |
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10.1007/s003390100903 doi (DE-627)OLC2074157517 (DE-He213)s003390100903-p DE-627 ger DE-627 rakwb eng 530 620 VZ 530 VZ UA 9001.A VZ rvk Jia, T.Q. verfasserin aut Threshold of femtosecond laser-induced damage in transparent materials 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. Li, R.X. aut Liu, Z. aut Xu, Z.Z. aut Enthalten in Applied physics. A, Materials science & processing Springer-Verlag, 1981 74(2002), 4 vom: Apr., Seite 503-507 (DE-627)129861340 (DE-600)283365-7 (DE-576)015171930 0947-8396 nnns volume:74 year:2002 number:4 month:04 pages:503-507 https://doi.org/10.1007/s003390100903 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 UA 9001.A AR 74 2002 4 04 503-507 |
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The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. 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Threshold of femtosecond laser-induced damage in transparent materials |
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Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. © Springer-Verlag 2001 |
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Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. © Springer-Verlag 2001 |
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Abstract. The rate at which conduction-band electrons (CBE) absorb laser energy is calculated by both the quantum mechanical and the classical methods. Here fused silica irradiated with a 780-nm femtosecond-pulse laser is used as an example. It is found that the rate obtained by the quantum mechanical method is about one-third of that by the classical method, and it is much less than the direct-current limit. In the flux-doubling model, the avalanche rate in fused silica is 4 I $ ps^{-1} $ obtained by the quantum mechanical method, while it is about 13.7 I $ ps^{-1} $ by the classical method, where the laser intensity I is in units of TW $ cm^{-2} $. The differential equation of the evolution of CBE density is solved numerically, and it is found that the combination of CBE–hole recombination, CBE diffusion and initial CBE density (<$ 10^{13} $ $ cm^{-3} $) is not important. The dependence of avalanche breakdown threshold on laser-pulse duration is presented. The threshold calculated by the quantum mechanical method agrees well with experimental results, while the threshold obtained by the classical method differs greatly from the experiments. © Springer-Verlag 2001 |
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