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Based on the nonlinear Schrödinger equation and Fourier transformation, the intensity distributions of the high power flat-topped beam propagating in the nonlinear medium and the free space are studied. The influences of the defects on medium surface on the intensity evolution of flat-topped light beam in the medium and the free space are analyzed. The results show that the larger the beam order, the poorer the beam self-focusing property is, and the closer to the back surface of the medium the position related to the maximal intensity point is a stronger initial intensity, a thicker medium or a higher nonlinear coefficient will lead to a stronger self-focusing property. The defects on the surface of medium will produce a relatively large intensity, closer to the back surface of medium. The effect of the phase modulated defect on the intensity evolution is greater than that of amplitude modulated defect.
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Keywords:
- flat-topped beam /
- self-focusing /
- defect /
- intensity distribution
[1] Neauport J, Lamaignere L, Bercegol H, Pilon F, Birolleau J C 2005 Opt. Express 13 10163
[2] Feit M D, Rubenchik A M 2004 Proc. SPIE 5273 264
[3] Zhou L D, Su J Q, Li P, Wang W Y, Liu L Q, Zhang Y, Zhang X M 2011 Acta Phys. Sin. 60 024202 (in Chinese) [周丽丹, 粟敬钦, 李平, 王文义, 刘兰琴, 张颖, 张小民 2011 物理学报 60 024202]
[4] Zhou L D, Su J Q, Li P, Liu L Q, Wang W Y, Wang F, Mo L, Cheng W Y, Zhang X M 2009 Acta Phys. Sin. 58 627906 (in Chinese) [周丽丹, 粟敬钦, 李平, 刘兰琴, 王文义, 王方, 莫磊, 程文雍, 张小民 2009 物理学报 58 627906]
[5] Schweinsberg A, Kuper J, Boyd R W 2011 Phys. Rev. A 84 053837
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[8] Jokipii S R, Marbmger J 1973 Appl. Phys. Lett. 23 696
[9] Zhang G W, Lu X Q, Cao H B, Yin X H, Lü F N, Zhang Z, Li J H, Wang R G, Ma W X, Zhu J 2012 Acta Phys. Sin. 61 024201 (in Chinese) [张国文, 卢兴强, 曹华保, 尹宪华, 吕凤年, 张臻, 李菁辉, 王仁贵, 马伟新, 朱俭 2012 物理学报 61 024201]
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[11] Peng T, Zhao J L, Xie L P, Ye Z J, Li Q, Su J Q 2007 Acta Phys. Sin. 56 3255 (in Chinese) [彭涛, 赵建林, 谢良平, 叶知隽, 李强, 粟敬钦 2007 物理学报 56 3255]
[12] Xie L P, Jing F, Zhao J L, Su J Q, Wang W Y, Peng H S 2004 Opt. Commun. 236 343
[13] Li D, Zhao J L, Peng T, Cai Z B 2009 Appl. Opt. 48 6229
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[15] Bespalov V I, Talanov V I 1966 Jept. Lett. 3 307
[16] Lü B D 2003 Laser Optics (Beijing: High Education Press) p228 (in Chinese) [吕百达 2003 激光光学 (北京: 高等教育出版社) 第228页]
[17] Zhou L D, Su J Q, Liu L Q, Wang W Y, Wang F, Mo L, Li P, Zhang X M 2009 High Power Laser and Particle Beams 21 326 (in Chinese) [周丽丹, 粟敬钦, 刘兰琴, 王文义, 王方, 莫磊, 李平, 张小民 2009 强激光与粒子束 21 326]
[18] Zhang G W, Tao H, Pu J X, Lu X Q, Ma W X 2012 Chin. J. Lasers 39 0102005 (in Chinese) [张国文, 陶华, 蒲继雄, 卢兴强, 马伟新 2012 中国激光 39 0102005]
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[1] Neauport J, Lamaignere L, Bercegol H, Pilon F, Birolleau J C 2005 Opt. Express 13 10163
[2] Feit M D, Rubenchik A M 2004 Proc. SPIE 5273 264
[3] Zhou L D, Su J Q, Li P, Wang W Y, Liu L Q, Zhang Y, Zhang X M 2011 Acta Phys. Sin. 60 024202 (in Chinese) [周丽丹, 粟敬钦, 李平, 王文义, 刘兰琴, 张颖, 张小民 2011 物理学报 60 024202]
[4] Zhou L D, Su J Q, Li P, Liu L Q, Wang W Y, Wang F, Mo L, Cheng W Y, Zhang X M 2009 Acta Phys. Sin. 58 627906 (in Chinese) [周丽丹, 粟敬钦, 李平, 刘兰琴, 王文义, 王方, 莫磊, 程文雍, 张小民 2009 物理学报 58 627906]
[5] Schweinsberg A, Kuper J, Boyd R W 2011 Phys. Rev. A 84 053837
[6] Lee H H, Chae K M, Yim S Y, Park S H 2004 Opt. Express 12 2603
[7] Fleck J A, Morris J R, Bliss E S 1987 Quantum Electron. 14 353
[8] Jokipii S R, Marbmger J 1973 Appl. Phys. Lett. 23 696
[9] Zhang G W, Lu X Q, Cao H B, Yin X H, Lü F N, Zhang Z, Li J H, Wang R G, Ma W X, Zhu J 2012 Acta Phys. Sin. 61 024201 (in Chinese) [张国文, 卢兴强, 曹华保, 尹宪华, 吕凤年, 张臻, 李菁辉, 王仁贵, 马伟新, 朱俭 2012 物理学报 61 024201]
[10] Widmayer C C, Nickels M R, Milam D 1998 Appl. Opt. 37 4801
[11] Peng T, Zhao J L, Xie L P, Ye Z J, Li Q, Su J Q 2007 Acta Phys. Sin. 56 3255 (in Chinese) [彭涛, 赵建林, 谢良平, 叶知隽, 李强, 粟敬钦 2007 物理学报 56 3255]
[12] Xie L P, Jing F, Zhao J L, Su J Q, Wang W Y, Peng H S 2004 Opt. Commun. 236 343
[13] Li D, Zhao J L, Peng T, Cai Z B 2009 Appl. Opt. 48 6229
[14] Wen S C, Fan Z Y 2001 Acta Opt. Sin. 21 1158 (in Chinese) [文双春, 范缜元 2001 光学学报 21 1458]
[15] Bespalov V I, Talanov V I 1966 Jept. Lett. 3 307
[16] Lü B D 2003 Laser Optics (Beijing: High Education Press) p228 (in Chinese) [吕百达 2003 激光光学 (北京: 高等教育出版社) 第228页]
[17] Zhou L D, Su J Q, Liu L Q, Wang W Y, Wang F, Mo L, Li P, Zhang X M 2009 High Power Laser and Particle Beams 21 326 (in Chinese) [周丽丹, 粟敬钦, 刘兰琴, 王文义, 王方, 莫磊, 李平, 张小民 2009 强激光与粒子束 21 326]
[18] Zhang G W, Tao H, Pu J X, Lu X Q, Ma W X 2012 Chin. J. Lasers 39 0102005 (in Chinese) [张国文, 陶华, 蒲继雄, 卢兴强, 马伟新 2012 中国激光 39 0102005]
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