搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Airy-Gaussian光束的解析矢量结构

邓轩兵 邓冬梅 陈迟到 刘承宜

引用本文:
Citation:

Airy-Gaussian光束的解析矢量结构

邓轩兵, 邓冬梅, 陈迟到, 刘承宜

Analytical vectorial structure of Airy-Gaussian beam

Deng Xuan-Bing, Deng Dong-Mei, Chen Chi-Dao, Liu Cheng-Yi
PDF
导出引用
  • 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.
    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.
    • 基金项目: 国家自然科学基金(批准号: 60878061)和教育部博士点基金(批准号: 20124407110013)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 60878061), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20124407110013).
    [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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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

  • [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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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

  • [1] 高雨洁, 李晋红, 王静, 刘晋宏, 尹晓金. 柱矢量涡旋光束在自由空间中传输时角动量的全矢量特性. 物理学报, 2025, 74(5): 059202. doi: 10.7498/aps.74.20241344
    [2] 朱开成, 梁瑞生, 易亚军, 刘伟慈, 朱洁. 附加球面相位引致Airy光束在单轴晶体传输时的两次镜像演化. 物理学报, 2020, 69(9): 094102. doi: 10.7498/aps.69.20191592
    [3] 吴琼, 任志君, 杜林岳, 胡海华, 顾颖, 杨朝凤. 基于格林函数法的奇型Mathieu-Gaussian光束. 物理学报, 2017, 66(20): 204201. doi: 10.7498/aps.66.204201
    [4] 李超, 冉政. 旋涡Lamb矢量与各向同性湍流的统计结构. 物理学报, 2015, 64(3): 034702. doi: 10.7498/aps.64.034702
    [5] 罗朝明, 陈世祯, 凌晓辉, 张进, 罗海陆. 高阶邦加球上柱矢量光束的变换. 物理学报, 2014, 63(15): 154203. doi: 10.7498/aps.63.154203
    [6] 易煦农, 李瑛, 刘亚超, 凌晓辉, 张志友, 罗海陆. 基于Metasurface的柱矢量光束的产生. 物理学报, 2014, 63(9): 094203. doi: 10.7498/aps.63.094203
    [7] 王铮, 高春清, 辛璟焘. 高阶矢量光束高数值孔径聚焦特性的研究. 物理学报, 2012, 61(12): 124209. doi: 10.7498/aps.61.124209
    [8] 陆世专, 游开明, 陈列尊, 王友文, 杨辉, 戴志平. 被圆相位片衍射的空心高斯光束的远场矢量结构特征. 物理学报, 2012, 61(23): 234201. doi: 10.7498/aps.61.234201
    [9] 郝宽胜, 黄松岭, 赵伟, 王珅. 基于二阶矢量位的矩形截面回折线圈阻抗和脉冲磁场的解析建模与计算. 物理学报, 2011, 60(7): 078103. doi: 10.7498/aps.60.078103
    [10] 李建龙, 吕百达. 非傍轴矢量高斯光束单缝衍射的严格理论. 物理学报, 2008, 57(6): 3481-3485. doi: 10.7498/aps.57.3481
    [11] 韩亦文. 用量子隧穿法研究带质量四极矩静态黑洞的Hawking辐射. 物理学报, 2005, 54(11): 5018-5021. doi: 10.7498/aps.54.5018
    [12] 高曾辉, 吕百达. 矢量非傍轴离轴高斯光束的传输. 物理学报, 2005, 54(11): 5144-5148. doi: 10.7498/aps.54.5144
    [13] 周国泉. 非傍轴矢量高斯光束的传输. 物理学报, 2005, 54(4): 1572-1577. doi: 10.7498/aps.54.1572
    [14] 罗海陆, 胡 巍, 易煦农, 朱 静. 傍轴光束在单轴晶体中传输的矢量性质. 物理学报, 2004, 53(9): 2947-2952. doi: 10.7498/aps.53.2947
    [15] 刘普生, 吕百达. 非傍轴矢量高斯光束的圆屏衍射. 物理学报, 2004, 53(11): 3724-3728. doi: 10.7498/aps.53.3724
    [16] 李曙光, 刘晓东, 侯蓝田. 一种晶体光纤基模色散特性的矢量法分析. 物理学报, 2004, 53(6): 1873-1879. doi: 10.7498/aps.53.1873
    [17] 梁子长, 金亚秋. 非均匀散射层矢量辐射传输(VRT)方程高阶散射解的迭代法. 物理学报, 2003, 52(2): 247-255. doi: 10.7498/aps.52.247
    [18] 刘淑荣, 江伟林, 刘家瑞, 林荫浓. 用飞行时间法研究Si溅射离子簇质谱的结构效应. 物理学报, 1991, 40(5): 703-708. doi: 10.7498/aps.40.703
    [19] 范海福, 古元新, 许章保. 求解非中心对称晶体结构的人工相位退化法. 物理学报, 1981, 30(12): 1582-1585. doi: 10.7498/aps.30.1582
    [20] 曹昌祺, 朱允伦, 王苏生. 关于核子的同位旋矢量电磁结构. 物理学报, 1966, 22(2): 152-162. doi: 10.7498/aps.22.152
计量
  • 文章访问数:  7737
  • PDF下载量:  4682
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-03-19
  • 修回日期:  2013-04-23
  • 刊出日期:  2013-09-05

/

返回文章
返回