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参数可控长距无衍射光束的生成方法研究

马国鹭 刘丽贤 杨贵洋 赵斌

马国鹭, 刘丽贤, 杨贵洋, 赵斌. 参数可控长距无衍射光束的生成方法研究[J]. 中国光学, 2018, 11(1): 100-107. doi: 10.3788/CO.20181101.0100
引用本文: 马国鹭, 刘丽贤, 杨贵洋, 赵斌. 参数可控长距无衍射光束的生成方法研究[J]. 中国光学, 2018, 11(1): 100-107. doi: 10.3788/CO.20181101.0100
MA Guo-lu, LIU Li-xian, YANG Gui-yang, ZHAO Bin. Generating method of non-diffracting beam with long-distance propagation and controllable parameters[J]. Chinese Optics, 2018, 11(1): 100-107. doi: 10.3788/CO.20181101.0100
Citation: MA Guo-lu, LIU Li-xian, YANG Gui-yang, ZHAO Bin. Generating method of non-diffracting beam with long-distance propagation and controllable parameters[J]. Chinese Optics, 2018, 11(1): 100-107. doi: 10.3788/CO.20181101.0100

参数可控长距无衍射光束的生成方法研究

doi: 10.3788/CO.20181101.0100
基金项目: 

国家自然科学基金项目 61505169

四川省教育厅重点项目 15ZA0116

四川省与教育部共建重点实验室资助项目 13zxzk06

西南科技大学自然科学基金 14zx7160

详细信息
    作者简介:

    马国鹭(1981—),男,四川巴中人,博士,副教授,2009年于西南科技大学获得硕士学位,2014年于华中科技大学获得博士学位,主要从事大尺度空间中几何量精密测量、光电精密检测等方面的研究。E-mail: maguolu999@163.com

  • 中图分类号: TP394.1;TH691.9

Generating method of non-diffracting beam with long-distance propagation and controllable parameters

Funds: 

National Natural Science Foundation of China 61505169

Key Projects in Sichuan Province Department of Education 15ZA0116

Key Project of Fundamental Co-construction of Sichuan Province in China 13zxzk06

Natural Science Foundation of Southwest University of Science and Technology 14zx7160

More Information
  • 摘要: 为了消除光学器件几何参数对无衍射光束传播特性调整的限制,实现长距空间中无衍射光束传播时特性参数的可控性,首先,通过研究axicon折射阴影区的电场分布特征,发现axicon无衍射区外过临界面后的近轴区域虽处于几何折射阴影近轴区域内,但仍存在光强服从第一类零阶贝赛尔函数分布的球面波;以此为基础,提出了一种不受传播空间距离限制的无衍射光束的生成方式;最后,在近12 m的尺度范围内进行无衍射光传播特性参数测试,发现其实验参数与理论计算值的差值不超过0.1 μm。该无衍射光通过对第一类零阶贝塞尔函数分布的球面衍射光斑准直生成,本质上区别于传统的干涉无衍射光束生成方式,易于生成大尺度空间无衍射光束。该无衍射光生成方式适合用于非能量使用情况下大尺度空间的直线基准、光束空间通讯等领域,具有较大的价值与意义。
  • 图  1  axicon光场分区

    Figure  1.  Division of intensity distribution for axicon

    图  2  生成近似无衍射光束的实验装置

    Figure  2.  Experimental setup used to generate quasi-non-diffracting beams

    图  3  axicon近轴折射阴影区不同横截面处的光强分布。图像传感器(CCD)的曝光时间用ET表示,在近轴区所有图像的大为1.32 mm×1.32 mm:(a)z=1 200 mm<zmax, ET=0.1 ms; (b)z=2 916 mm≈zmax, ET=1 ms; (c)z=4 582 mm, ET=2 ms; (d)z=5 076 mm, ET=3 ms; (e)z=7 285 mm, ET=10 ms; (f)z=11 797 mm, ET=40 ms。图片(c)~(f)是超出最大无衍射距离的Arago-Poisson衍射点

    Figure  3.  Intensity distributions in paraxial refraction shadow area of axicon at different longitudinal sections. The ET is used to represents corresponding exposure time for image sensor(CCD), and the shot-size of all images is 1.32 mm×1.32 mm in paraxial region:(a)z=1 200 mm < zmax, ET=0.1 ms; (b)z=2 916 mm≈zmax, ET=1ms; (c)z=4 582 mm, ET=2 ms; (d)z=5 076 mm, ET=3 ms; (e)z=7 285 mm, ET=10 ms; (f)z=11 797 mm, ET=40 ms. The figure (c)~(f) are Arago-Poisson diffraction spots, which shoot in out of the region of non-diffracting area

    图  4  axicon从无衍射区过渡到几何折射阴影区光强分布随传播距离变化情况。用ET表示CCD的曝光时间,在近轴区所有图像的大为2.89 mm× 2.89 mm:(a)z=2 866<zmax, ET=0.5 ms; (b)z=2 916≈zmax, ET=2 ms; (c)z=3 095>zmax, ET=2 ms; (d)z=3 615>zmax, ET=5 ms; (e)z=3 704>zmax, ET=20 ms; (f)z=4 147>zmax, ET=100 ms; 图(b)~(d)为axicon无衍射临界点处的光强分布

    Figure  4.  Intensity distribution changes with propagation distance for axicon transition from non-diffraction area to geometrically refracted shadow area. Where the ET is used to represents the exposure time of the CCD, and the shot-size of all images is 2.89 mm×2.89 mm in paraxial region:(a)z=2 866 < zmax, ET=0.5 ms; (b)z=2 916≈zmax, ET=2 ms; (c)z=3 095 > zmax, ET=2 ms; (d)z=3 615 > zmax, ET=5 ms; (e)z=3 704 > zmax, ET=20 ms; (f)z=4 147 > zmax, ET=100 ms; The figure (b)~(d) is the distribution of intensity in paraxial critical point of the axicon′s non-diffracting

    图  5  axicon几何折射阴影区测试曲线:(a)对应于图 3(c)光强沿径向的归一化光强分布与第一类理想零阶贝赛尔函数对比曲线;(b)实验测试的axicon衍射斑直径随传播方向距离变化曲线

    Figure  5.  Experimental curves in geometrical shadow area of the axicon lens. (a)Comparison curves of radial intensity distribution and the first kind ideal zero-order Bessel function for Fig. 3(c); (b)Observed diameters of diffraction spot for axicon lens varies with distance along the z-axis

    图  6  不同后焦距fd的薄平凸透镜所生成的无衍射光图像(a)fd=250 mm; (b)fd=500 mm; (c)fd=750 mm; (d)fd=1 000 mm

    Figure  6.  Non-diffracting beam images generated through thin plano-convex lenses with different back focal lengths. (a)fd=250 mm; (b)fd=500 mm; (c)fd=750 mm; (d)fd=1000 mm

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出版历程
  • 收稿日期:  2017-08-11
  • 修回日期:  2017-10-17
  • 刊出日期:  2018-02-01

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