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采用矢量角谱的方法分析了Airy-Gaussian光束的矢量结构, 运用静态相位法得出了光束远场矢量结构的解析表达式. 根据得到的TE项和TM项的解析表达式, 分别研究了TE项和TM项及整个光束的能流分布. 更好地阐明了Airy-Gaussian光束的物理图像, 从而为操控光束提供潜在的新方法.
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关键词:
- Airy-Gaussian光束 /
- 解析矢量结构 /
- 矢量角谱法 /
- 静态相位法
Based on the vector angular spectrum of the electromagnetic beam and the method of stationary phase, the analytical vectorial structure of the Airy-Gaussian beam in the far field has been presented. According to the analytical electromagnetic representations of the TE and TM terms, the energy flux distributions of the TE term, the TM term, and the whole beam in the far field are investigated respectively. The formulas obtained are applicable not only in the paraxial case, but also in the nonparaxial case. The physical pictures of Airy-Gaussian beams are well illustrated from the vectorial structure, which may provide a new approach to manipulate laser beams.-
Keywords:
- Airy-Gaussian beam /
- analytical vectorial structure /
- method of vector angular spectrum /
- method of stationary phase
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[2] Siviloglou G A, Brokly J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[3] Siviloglou G A, Christodoulides D N 2007 OptLett 32 979
[4] Jia S, Lee J, Fleischer J W, Siviloglou G A, Christodoulides D N 2010 Phys. Rev. Lett. 104 253904
[5] Wu F T, Jiang X G, Liu B, Qiu Z X 2009 Acta Phys. Sin. 58 3125 (in Chinese) [吴逢铁, 江新光, 刘彬, 邱振兴 2009 58 3125]
[6] Cottrell D M, Davis J A, Hazard T M 2009 OptLett 34 2634
[7] Zheng W T, Wu F T, Zhang Q A, Cheng Z M 2012 Acta Phys. Sin. 61 144201 (in Chinese) [郑维涛, 吴逢铁, 张前安, 程治明 2012 61 144201]
[8] Baumgartl J, Mazilu M, Dholakia K 2008 Nat. Photonics 2 675
[9] Baumgartl J, Hannappel G M, Stevenson D J, Day D, Gu M, Dholakia K 2009 Lab. Chip. 9 1334
[10] Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 22
[11] Polynkin P, Kolesik M, Moloney J 2009 Phys. Rev. Lett.103 123902
[12] Li J X, Zang W P, Tian J G 2010 Opt. Express 18 7300
[13] Wang G H, Wang X F, Dong K G 2012 Acta Phys. Sin. 61 165201 (in Chinese) [王广辉, 王晓方, 董克攻 2012 61 165201]
[14] Guo C S, Wang S Z, Rong Z, Yu S B 2013 Acta Phys. Sin. 62 084201 (in Chinese) [国承山, 王淑贞, 荣振, 宇沙贝 2013 62 084201]
[15] Ren Z J, Wu Q, Zhou W D, Wu G Z, Shi Y L 2012 Acta Phys. Sin. 61 174207 (in Chinese) [任志君, 吴琼, 周卫东, 吴根柱, 施逸乐 2012 61 174207]
[16] Bandres M A, Gutiérrez-Vega J C 2007 Opt. Express 15 16719
[17] Martínez-Herrero R, Mejías P M, Bosch S, Carnicer A 2001 J. Opt. Soc. Am. A 18 1678
[18] Deng D M, Guo Q 2007 Opt. Lett. 32 2711
[19] Guo H M, Chen J B, Zhuang S L 2006 Opt. Express 14 2095
[20] Deng D M 2011 Eur. Phys. J. D 65 553
[21] Vallée O, Soares M 2004 Airy functions and applitions to physics (London: Imperial College Press) p9-88
[22] Lou Q H, Zhou J 2008 Opt. Express16 6417
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[1] Berry M V, Berry, Balazs N L 1979 Am. J. Phys. 47 264
[2] Siviloglou G A, Brokly J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[3] Siviloglou G A, Christodoulides D N 2007 OptLett 32 979
[4] Jia S, Lee J, Fleischer J W, Siviloglou G A, Christodoulides D N 2010 Phys. Rev. Lett. 104 253904
[5] Wu F T, Jiang X G, Liu B, Qiu Z X 2009 Acta Phys. Sin. 58 3125 (in Chinese) [吴逢铁, 江新光, 刘彬, 邱振兴 2009 58 3125]
[6] Cottrell D M, Davis J A, Hazard T M 2009 OptLett 34 2634
[7] Zheng W T, Wu F T, Zhang Q A, Cheng Z M 2012 Acta Phys. Sin. 61 144201 (in Chinese) [郑维涛, 吴逢铁, 张前安, 程治明 2012 61 144201]
[8] Baumgartl J, Mazilu M, Dholakia K 2008 Nat. Photonics 2 675
[9] Baumgartl J, Hannappel G M, Stevenson D J, Day D, Gu M, Dholakia K 2009 Lab. Chip. 9 1334
[10] Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 22
[11] Polynkin P, Kolesik M, Moloney J 2009 Phys. Rev. Lett.103 123902
[12] Li J X, Zang W P, Tian J G 2010 Opt. Express 18 7300
[13] Wang G H, Wang X F, Dong K G 2012 Acta Phys. Sin. 61 165201 (in Chinese) [王广辉, 王晓方, 董克攻 2012 61 165201]
[14] Guo C S, Wang S Z, Rong Z, Yu S B 2013 Acta Phys. Sin. 62 084201 (in Chinese) [国承山, 王淑贞, 荣振, 宇沙贝 2013 62 084201]
[15] Ren Z J, Wu Q, Zhou W D, Wu G Z, Shi Y L 2012 Acta Phys. Sin. 61 174207 (in Chinese) [任志君, 吴琼, 周卫东, 吴根柱, 施逸乐 2012 61 174207]
[16] Bandres M A, Gutiérrez-Vega J C 2007 Opt. Express 15 16719
[17] Martínez-Herrero R, Mejías P M, Bosch S, Carnicer A 2001 J. Opt. Soc. Am. A 18 1678
[18] Deng D M, Guo Q 2007 Opt. Lett. 32 2711
[19] Guo H M, Chen J B, Zhuang S L 2006 Opt. Express 14 2095
[20] Deng D M 2011 Eur. Phys. J. D 65 553
[21] Vallée O, Soares M 2004 Airy functions and applitions to physics (London: Imperial College Press) p9-88
[22] Lou Q H, Zhou J 2008 Opt. Express16 6417
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