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Three-dimensional numerical simulation of light field modulation in the vicinity of inclusions in silica subsurface

Hua Jin-Rong Li Li Xiang Xia Zu Xiao-Tao

Three-dimensional numerical simulation of light field modulation in the vicinity of inclusions in silica subsurface

Hua Jin-Rong, Li Li, Xiang Xia, Zu Xiao-Tao
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  • One of the important factors of the low laser induced damage threshold is the defects in the subsurface of fused silica. The three-dimensional model of a spherical inclusion in the subsurface is established in this study. Three-dimensional finite-difference time-domain method is used to calculate and simulate the light field distribution in the vicinity of inclusions. The effects of dielectric constant and inclusion size are analyzed, separately. The results show that the light intensity enhancement factor (LIEF) does not change with the size and the dielectric constant of the inclusions when the dielectric constant is smaller than that of fused silica, where the LIEF is kept at about 4. When the dielectric constant is 6.0, the LIEFs are 50.1588, 73.3904 and 102.9953 for the inclusions with sizes of 1.5λ, 2λ and 2.5λ respectively. When the inclusion size is constant, the LIEF will increase with the increase of dielectric constant. The light enhancement for the round inclusions is much higher than that for the ellipsoidal inclusions. Therefore, the round inclusions with large size and dielectric constant significantly enhance the electric field.
    • Funds:
    [1]

    Sun C W, Lu Q S, Fan Z X 2002 Laser Irradiation Effect (Beijing: National Defense Industry Press) p265 (in Chinese) [孙承纬、陆启生、范正修 2002 激光辐照效应 (北京:国防工业出版社) 第265页]

    [2]

    Chen F, Meng S X 1998 Physics Progress 18 187 (in Chinese) [陈 飞、 孟绍贤 1998 物理学进展 18 187]

    [3]

    Liu F M, Zhang L D, Li G H 2005 Chin. Phys. 14 2145

    [4]

    Bloembergen N 1973 Appl. Opt 12 661

    [5]

    Feit M D, Rubenchik A M 2004 Proc. SPIE 5273 264

    [6]

    Liu C M, Zu X T, Wei Q M, Wang L M 2007 Chin. Phys. 16 95

    [7]

    Xue S W, Zu X T 2007 Chin. Phys. 16 1119

    [8]

    Liao L S, Bao X M, Zheng X Q, Li N S, Min N B 1996 Appl. Phys. Lett. 68 850

    [9]

    Trupke T, Green M A, Wttrfel P, Altermatt P P, Wang A, Zhao J, Corkish R 2003 J. Appl. Phys. 94 4930

    [10]

    Merkle L D, Kitriotis D 1988 Phys. Rev. B 38 1473

    [11]

    Hamza A V, Siekhaus W, Rubenchik A M 2002 Proc. SPIE 4679 96

    [12]

    Génin F Y, Salleo A, Pistor T V 2001 J. Opt. Soc. Am. A 18 2607

    [13]

    Rubenchik A M, Feit M D 2002 Proc. SPIE 4679 79

    [14]

    Han P G, Ma Z Y, Xia Z Y, Chen D Y, Xu J, Qian B, Chen S, Li W, Huang X F, Chen K J, Feng D 2007 Chin. Phys. 16 1410

    [15]

    Hua J R, Zu X T, Li L 2010 Acta Phys. Sin. 59 2519 (in Chinese) [花金荣、祖小涛、李莉 2010 物理学报 59 2519]

    [16]

    Chen X Q, Zu X T, Zheng W G, Jiang X D, Liu C M 2006 Acta Phys. Sin. 55 1201 (in Chinese) [陈习权、祖小涛、郑万国、蒋晓东、刘春明 2006 物理学报 55 1201]

    [17]

    Xiang X, Chen M, Chen M Y, Zu X T, Zhu S, Wang L M 2010 Chin. Phys. B 19 018107

    [18]

    Li L, Lei Y, Xiao S Q 2009 High Power Laser and Particle Beams 21 936 (in Chinese)[李 莉、雷 雨、肖邵球 2009 强 激光与粒子束 20 936] 〖19] Ge D B, Yan Y B 2002 Electro Magnetic Wave and FDTD (Xi’an: Xidian University Press) p14 (in Chinese) [葛德彪、闫玉波 2002 电磁波时域有限差分方法 (西安: 西安电子科技大学出版社) 第14页]

    [19]

    Xue S W, Zu X T, Shao L X, Yuan Z L, Xiang X, Deng H 2008 Chin. Phys. 17 2240

    [20]

    Zhou Z X, Wang H L, Shen Y Q, Liu D J, Liu H, He S Y, Yang D Z 2008 Acta Phys. Sin. 57 592 (in Chinese) [周忠祥、王宏利、申艳青、刘大军、刘 海、何世禹、杨德庄 2008 物理学报 57 592]

  • [1]

    Sun C W, Lu Q S, Fan Z X 2002 Laser Irradiation Effect (Beijing: National Defense Industry Press) p265 (in Chinese) [孙承纬、陆启生、范正修 2002 激光辐照效应 (北京:国防工业出版社) 第265页]

    [2]

    Chen F, Meng S X 1998 Physics Progress 18 187 (in Chinese) [陈 飞、 孟绍贤 1998 物理学进展 18 187]

    [3]

    Liu F M, Zhang L D, Li G H 2005 Chin. Phys. 14 2145

    [4]

    Bloembergen N 1973 Appl. Opt 12 661

    [5]

    Feit M D, Rubenchik A M 2004 Proc. SPIE 5273 264

    [6]

    Liu C M, Zu X T, Wei Q M, Wang L M 2007 Chin. Phys. 16 95

    [7]

    Xue S W, Zu X T 2007 Chin. Phys. 16 1119

    [8]

    Liao L S, Bao X M, Zheng X Q, Li N S, Min N B 1996 Appl. Phys. Lett. 68 850

    [9]

    Trupke T, Green M A, Wttrfel P, Altermatt P P, Wang A, Zhao J, Corkish R 2003 J. Appl. Phys. 94 4930

    [10]

    Merkle L D, Kitriotis D 1988 Phys. Rev. B 38 1473

    [11]

    Hamza A V, Siekhaus W, Rubenchik A M 2002 Proc. SPIE 4679 96

    [12]

    Génin F Y, Salleo A, Pistor T V 2001 J. Opt. Soc. Am. A 18 2607

    [13]

    Rubenchik A M, Feit M D 2002 Proc. SPIE 4679 79

    [14]

    Han P G, Ma Z Y, Xia Z Y, Chen D Y, Xu J, Qian B, Chen S, Li W, Huang X F, Chen K J, Feng D 2007 Chin. Phys. 16 1410

    [15]

    Hua J R, Zu X T, Li L 2010 Acta Phys. Sin. 59 2519 (in Chinese) [花金荣、祖小涛、李莉 2010 物理学报 59 2519]

    [16]

    Chen X Q, Zu X T, Zheng W G, Jiang X D, Liu C M 2006 Acta Phys. Sin. 55 1201 (in Chinese) [陈习权、祖小涛、郑万国、蒋晓东、刘春明 2006 物理学报 55 1201]

    [17]

    Xiang X, Chen M, Chen M Y, Zu X T, Zhu S, Wang L M 2010 Chin. Phys. B 19 018107

    [18]

    Li L, Lei Y, Xiao S Q 2009 High Power Laser and Particle Beams 21 936 (in Chinese)[李 莉、雷 雨、肖邵球 2009 强 激光与粒子束 20 936] 〖19] Ge D B, Yan Y B 2002 Electro Magnetic Wave and FDTD (Xi’an: Xidian University Press) p14 (in Chinese) [葛德彪、闫玉波 2002 电磁波时域有限差分方法 (西安: 西安电子科技大学出版社) 第14页]

    [19]

    Xue S W, Zu X T, Shao L X, Yuan Z L, Xiang X, Deng H 2008 Chin. Phys. 17 2240

    [20]

    Zhou Z X, Wang H L, Shen Y Q, Liu D J, Liu H, He S Y, Yang D Z 2008 Acta Phys. Sin. 57 592 (in Chinese) [周忠祥、王宏利、申艳青、刘大军、刘 海、何世禹、杨德庄 2008 物理学报 57 592]

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  • Received Date:  05 May 2010
  • Accepted Date:  31 May 2010
  • Published Online:  15 April 2011

Three-dimensional numerical simulation of light field modulation in the vicinity of inclusions in silica subsurface

  • 1. Institute of Physics and Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China

Abstract: One of the important factors of the low laser induced damage threshold is the defects in the subsurface of fused silica. The three-dimensional model of a spherical inclusion in the subsurface is established in this study. Three-dimensional finite-difference time-domain method is used to calculate and simulate the light field distribution in the vicinity of inclusions. The effects of dielectric constant and inclusion size are analyzed, separately. The results show that the light intensity enhancement factor (LIEF) does not change with the size and the dielectric constant of the inclusions when the dielectric constant is smaller than that of fused silica, where the LIEF is kept at about 4. When the dielectric constant is 6.0, the LIEFs are 50.1588, 73.3904 and 102.9953 for the inclusions with sizes of 1.5λ, 2λ and 2.5λ respectively. When the inclusion size is constant, the LIEF will increase with the increase of dielectric constant. The light enhancement for the round inclusions is much higher than that for the ellipsoidal inclusions. Therefore, the round inclusions with large size and dielectric constant significantly enhance the electric field.

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