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部分相干光对周期性局域空心光束的影响

朱清智 沈栋辉 吴逢铁 何西

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部分相干光对周期性局域空心光束的影响

朱清智, 沈栋辉, 吴逢铁, 何西

Effects of a partially coherent beam on periodic bottle beam

Zhu Qing-Zhi, Shen Dong-Hui, Wu Feng-Tie, He Xi
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  • 用旋转毛玻璃和光阑把激光变成部分相干光, 再经过双轴棱锥系统把一束平行光变成两束同频率但不同径向波矢分量的无衍射贝塞尔光, 相干叠加产生了部分相干的周期性局域空心光束. 通过干涉理论与实验结果相互佐证, 得出局域空心光束的周期为2.5 mm. 进一步探究入射光场相干度对产生局域空心光束的影响, 发现随着相干度的降低局域空心光束中心暗斑与周围光强的衬比度会降低, 但不影响局域空心光束的周期以及中心暗斑尺寸.
    In this paper, we propose how to generate the periodic bottle beam by using a partially coherent beam. Firstly, a spatially completely coherent beam is transformed into a partially coherent beam by a rotating ground glass. Secondly, after passing through the double-axicon system, the parallel beam is converted into two Bessel beams which have the same optical frequencies but different radial wave vectors. Finally, the partially coherent periodic bottle beam can be generated by two interfering Bessel beams. Based on the interference theory, an analytical expression can be obtained for calculating the distribution of light intensity in the image and spot diagrams in spectral degree of coherence for the optical field with 0.9. By doing this calculation, the proposed optical system can be made to generate a partially coherent periodic bottle beam with the oscillation period of 2.5 mm. Before further investigating the effect of field coherence on the periodic bottle beam, we may also calculate the distribution of light intensity in the images and spot diagrams in the spectral degree at 0.83, 0.7, 0.5 and 0.2, respectively. Results show that the intensity contrast ratio between the dark focus and the surrounding periodic regions can be reduced with the decrease of the spatial coherence degree. In this case, the period of the bottle beam and the central dark focus size will not be affected. We have also designed and carried out an experimental generation of the periodic bottle beam and measured its focusing properties. In the experiment, we can control the coherence in the incident field by controlling the size of the circular aperture located behind the rotating ground-glass disk. When the size of the circular aperture is 0.1 (or 0.2) mm, the value of the coherence degree of the incident optical field is 0.9 (or 0.83). The two different coherence degrees of the partially coherent bottle beam have been measured by CCD. Experimental results show that the obtained bottle beams are of the same period of 2.5 mm. The measured diameters of the two different coherence degrees of the central spots (maximum sizes of the dark spot) are both 15 m. Experimental results also show that the spectral degree of coherence cannot affect the shape and size of the periodic bottle beam except the contrast of it. Therefore, the experimental results agree well with the theoretical results.
      通信作者: 吴逢铁, fengtie@hqu.edu.cn
    • 基金项目: 国家自然科学基金(批准号: 61178015)、福建省科技创新平台计 划(批准号: 2012H2002)和泉州市科技重点项目(批准号: 2014Z127)资助的课题.
      Corresponding author: Wu Feng-Tie, fengtie@hqu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61178015), the Technological Innovation Platform Projects of Fujian Province, China (Grant No. 2012H2002), and the Technology Key Projects of Quanzhou City, China (Grant No. 2014Z127).
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    Arlt J, Padgett M J 2000 Opt. Lett. 25 191

    [2]

    Chen C H, Tai P T, Hsieh W F 2004 Appl. Opt. 43 6001

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    Mondal S K, Pal S S, Kapur P 2012 Opt. Express 20 16180

    [4]

    Taylor M A, Knittel J, Bowen W P 2013 Opt. Express 21 8018

    [5]

    Black B J, Mohanty S K 2012 Opt. Lett. 37 5030

    [6]

    Zhong M C, Wei X B, Zhou J H, Wang Z Q, Li Y M 2013 Nat. Commun. 4 1768

    [7]

    Paterson L, Macdonald M P, Arlt J, Sibbett W, Bryant P E, Dholakia K 2001 Science 292 912

    [8]

    Chen Y H, Yan L, Steinvurzel P, Ramachandran S 2012 Conference on Lasers and Electro-Optics (CLEO) 39 1

    [9]

    Zhang P, Zhang Z, Prakash J, Huang S, Hernandez D, Salazar M, Christodoulides D N, Chen Z G 2011 Opt. Lett. 36 1491

    [10]

    Pu J X, Dong M M, Wang T 2006 Appl. Opt. 45 7553

    [11]

    Du T J, Wang T, Wu F T 2013 Acta Phys. Sin. 62 134103 (in Chinese) [杜团结, 王涛, 吴逢铁 2013 物理学报 62 134103]

    [12]

    Du T J, Wang T, Wu F T 2014 Opt. Commun. 317 24

    [13]

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

    [14]

    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]

    [15]

    Wang T, Pu J X 2007 Acta Phys. Sin. 56 6754 (in Chinese) [王涛, 蒲继雄 2007 物理学报 56 6754]

    [16]

    Wu J 1990 J. Mod. Opt. 37 671

    [17]

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    [18]

    He X, Wu F T, Li P, Chen Z Y 2014 Sci. Sin.: Phys. Mech. Astron. 44 705 (in Chinese) [何西, 吴逢铁, 李攀, 陈姿言 2014 中国科学: 物理学 力学 天文学 44 705]

    [19]

    L B D 2003 Laser Optics: Beam Characterization, Propagation and Transformation, Resonator Technology and Physics (Beijing: Higher Education Press) pp203-205 (in Chinese) [吕百达 2003 激光光学: 光束描述、传输变换与光光腔技术物理 (北京: 高等教育出版社) 第203205页]

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出版历程
  • 收稿日期:  2015-09-16
  • 修回日期:  2015-10-30
  • 刊出日期:  2016-02-05

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