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轴棱锥对无衍射光束的线聚焦特性

杜团结 王涛 吴逢铁

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轴棱锥对无衍射光束的线聚焦特性

杜团结, 王涛, 吴逢铁

Line focusing characteristics of axicon illuminated by non-diffracting Bessel beam

Du Tuan-Jie, Wang Tao, Wu Feng-Tie
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  • 基于汉克尔波理论和衍射积分理论详细分析了轴棱锥对无衍射光束的线聚焦特性, 提出了一种产生周期性局域空心光束的新方法, 即无衍射贝塞尔光束经过轴棱锥聚焦后产生具有塔尔博特效应的局域空心光束. 数值模拟了无衍射贝塞尔光束照射轴棱锥后, 沿传输距离变化的光强分布及一个周期内光强的演变和局域空心光束的形成过程. 设计实验系统, 由He-Ne激光经过一套光学系统后透过轴棱锥, 产生近似无衍射贝塞尔光束, 再由第二个轴棱锥对产生的无衍射贝塞尔光束进行线聚焦, 在第二个轴棱锥后面由显微镜观测到周期性局域空心光束, 并用CCD照相机拍摄了两个周期内的光斑图, 实验结果和理论分析相符合. 研究结果可用于多层面微粒的操控, 对周期性局域空心光束在光学微操控领域的应用具有重要的指导意义.
    The line focusing characteristics of axicon illuminated by non-diffracting Bessel beam was analyzed in terms of Hankel theory and diffraction integral theory, and a new kind of method to generate periodic bottle beam was put forward, i.e. Talbot effect bottle beam was generated by axicon illuminated by non-diffracting Bessel beam. Intensity distributions along the propagation path and the intensity evolution of the bottle beams in a complete period after the axicon illuminated by non-diffracting Bessel beam were simulated numerically. An optical system was designed and Bessel-like beam was obtained by light wave emitted from He-Ne laser passing through axicon after the optical system, and then an axicon was used to focus the Bessel-like beam. Periodic bottle beam was then observed after the axicon, and the spot diagram of two periodics were taken by a CCD camera. Experimental results agree well with the theoretical analysis. This result has a practical significance in multi-plane micro-manipulation and may serve as a guideline in optical micro-control by periodic bottle beam.
    • 基金项目: 国家自然科学基金(批准号: 61178015);福建省自然科学基金(批准号: 2012J01278)和泉州市科技重点项目(批准号: 2011G9)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61178015), the Natural Science Foundation of Fujian Province, China (Grant No. 2012J01278), and the Science and Technology Key Project of Quanzhou City, China (Grant No. 2011G9).
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    Planchon T A, Gao L, Milkie D E, Davidson M W, Galbraith J A, Galbraith C G, Betzig E 2011 Nature Methods 8 417

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    [12]

    Zhang Q A, Wu F T, Zheng W T, Ma L 2011 Acta Phys. Sin. 60 094201 (in Chinese) [张前安, 吴逢铁, 郑维涛, 马亮 2011 物理学报 60 094201]

    [13]

    Garces-Chavez V, McGloin D, Melville H, Sibbett W, Dholakia K 2002 Nature 419 145

    [14]

    Tatarkova S A, Sibbett W, Dholakia K 2003 Phys. Rev. Lett. 91 038101

    [15]

    MacDonald M P, Parerson L, Volke-Sepulveda K, Arlt J, Sibbett W, Dholakia K 2002 Science 296 1101

    [16]

    Lu W H, Wu F T 2009 Chin. J. Lasers 36 2924 (in Chinese) [卢文和, 吴逢铁 2009 中国激光 36 2924]

    [17]

    Tai P T, Hsieh W F, Chen C H 2004 Opt. Express 12 5827

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    Cheng Z M, Wu F T, Fang X, Fan D D 2012 Acta Phys. Sin. 61 214201 (in Chinese) [程治明, 吴逢铁, 方翔, 范丹丹 2012 物理学报 61 214201]

  • [1]

    Durnin J 1987 J. Opt. Soc. Am. A 4 651

    [2]

    Lu X H, Chen X M, Zhang L, Xue D J 2003 Chin. Phys. Lett. 20 2155

    [3]

    McLeod J H 1954 J. Opt. Soc. Am. 44 592

    [4]

    Fahrbach F O, Simon P, Rohrbach A 2010 Nature Photonics 4 780

    [5]

    Zhang Q A, Wu F T, Zheng W T, Zheng W T, Pu J X 2011 Sci. Sin. Phys. Mech. Astron. 41 1131 (in Chinese) [张前安, 吴逢铁, 郑维涛, 蒲继雄 2011 中国科学 41 1131]

    [6]

    Fan D D, Zhang Q A, Cheng Z M, Zheng W T, Wu F T 2012 Acta Phys. Sin. 61 164103 (in Chinese) [范丹丹, 张前安, 程治明, 郑维涛, 吴逢铁 2012 物理学报 61 164103]

    [7]

    Grier D G 2003 Nature 424 810

    [8]

    Keller P J, Schmidt A D, Santella A, Khairy K, Bao Z, Wittbrodt J, Stelzer E H K 2010 Nature Methods 7 637

    [9]

    Planchon T A, Gao L, Milkie D E, Davidson M W, Galbraith J A, Galbraith C G, Betzig E 2011 Nature Methods 8 417

    [10]

    Fahrbach F O, Rohrbach A 2012 Nature Commun 3 632

    [11]

    Wu F T, Zeng X H 2008 Acta Opt. Sin. 28 174 (in Chinese) [吴逢铁曾夏辉 2008 光学学报 28 174]

    [12]

    Zhang Q A, Wu F T, Zheng W T, Ma L 2011 Acta Phys. Sin. 60 094201 (in Chinese) [张前安, 吴逢铁, 郑维涛, 马亮 2011 物理学报 60 094201]

    [13]

    Garces-Chavez V, McGloin D, Melville H, Sibbett W, Dholakia K 2002 Nature 419 145

    [14]

    Tatarkova S A, Sibbett W, Dholakia K 2003 Phys. Rev. Lett. 91 038101

    [15]

    MacDonald M P, Parerson L, Volke-Sepulveda K, Arlt J, Sibbett W, Dholakia K 2002 Science 296 1101

    [16]

    Lu W H, Wu F T 2009 Chin. J. Lasers 36 2924 (in Chinese) [卢文和, 吴逢铁 2009 中国激光 36 2924]

    [17]

    Tai P T, Hsieh W F, Chen C H 2004 Opt. Express 12 5827

    [18]

    Cheng Z M, Wu F T, Fang X, Fan D D 2012 Acta Phys. Sin. 61 214201 (in Chinese) [程治明, 吴逢铁, 方翔, 范丹丹 2012 物理学报 61 214201]

计量
  • 文章访问数:  4665
  • PDF下载量:  1401
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-12-04
  • 修回日期:  2013-03-25
  • 刊出日期:  2013-07-05

轴棱锥对无衍射光束的线聚焦特性

  • 1. 华侨大学信息科学与工程学院,福建省光传输与变换重点实验室, 厦门 361021
    基金项目: 国家自然科学基金(批准号: 61178015);福建省自然科学基金(批准号: 2012J01278)和泉州市科技重点项目(批准号: 2011G9)资助的课题.

摘要: 基于汉克尔波理论和衍射积分理论详细分析了轴棱锥对无衍射光束的线聚焦特性, 提出了一种产生周期性局域空心光束的新方法, 即无衍射贝塞尔光束经过轴棱锥聚焦后产生具有塔尔博特效应的局域空心光束. 数值模拟了无衍射贝塞尔光束照射轴棱锥后, 沿传输距离变化的光强分布及一个周期内光强的演变和局域空心光束的形成过程. 设计实验系统, 由He-Ne激光经过一套光学系统后透过轴棱锥, 产生近似无衍射贝塞尔光束, 再由第二个轴棱锥对产生的无衍射贝塞尔光束进行线聚焦, 在第二个轴棱锥后面由显微镜观测到周期性局域空心光束, 并用CCD照相机拍摄了两个周期内的光斑图, 实验结果和理论分析相符合. 研究结果可用于多层面微粒的操控, 对周期性局域空心光束在光学微操控领域的应用具有重要的指导意义.

English Abstract

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