Bessel光束经椭圆环形孔径后的衍射光场

谢晓霞; 王硕琛; 吴逢铁

doi:10.7498/aps.64.124201

摘要

基于菲涅耳衍射积分理论及硬边孔径的复高斯函数展开法导出了Bessel光束经椭圆环形孔径后的光场表达式, 数值模拟了其光场的强度分布. 研究了Bessel光束经椭圆环形孔径后的光场变化及其传播过程; 在实验上利用轴棱锥输出的近似无衍射Bessel光, 通过椭圆环形孔径, 使用电荷耦合器件拍摄得到不同传播距离处的光强分布. 理论结果和实验结果均表明无衍射光束经椭圆环形孔径后会产生空心光束.

关键词:

Based on Fresnel diffraction theory and complex Gaussian function expansion of hard-edged aperture, the optical field formula of Bessel beam propagating through an elliptical annular aperture is derived, and the transverse intensity distribution of the beam is numerically simulated. The changes of the optical field and the propagation process of the diffracted beam behind the elliptical annular aperture are studied. In the experiment for the first time, a quasi non-diffracting beam is generated by an axicon and the patterns that are due to the beam diffraction by an elliptical annular aperture at different propagation distances are observed with a charge-coupled device camera. The theoretical analysis and experimental results both show that Bessel beam passing through an elliptical annular aperture can generate a hollow beam.

Keywords:

作者及机构信息

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.

Authors and contacts

1.
Fujian Key Laboratory of Optical Beam Transmission and Transformation, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61178015), the Science and Technology Innovation Platform Projects of Fujian Province, China (Grant No. 2012H2002), and the Key Project of the Science and Technology of Quanzhou City, China (Grant No. 2014Z127).

参考文献

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[2]	Sokolovskii G S 2014 Tech. Phys. Lett. 40 475
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[5]	He X, Wu F T, Li P, Chen Z Y 2014 Sci.China: 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]
[6]	Xie X X, Wu F T, Li D 2014 Acta Phys. Sin. 63 180201 (in Chinese) [谢晓霞, 吴逢铁, 李冬 2014 物理学报 63 180201]
[7]	Du T J, Wang T, Wu F T 2014 Opt. Commun. 317 24
[8]	Wang X F, Kang Z J, Pan Z W, Lian F Q, Huang K, Yu J 2011 Chin. J. Lasers 38 0402006 (in Chinese) [王小发, 康治军, 樊仲维, 连富强, 黄科, 余锦 2011 中国激光 38 0402006]
[9]	Zhou G Q 2009 Chin. Phys. B 18 1853
[10]	Chen B S, Pu J X 2010 Chin. Phys. B 19 074202
[11]	Ji X L, L B D 2004 Chin. J. Lasers 31 681 (in Chinese) [季小玲, 吕百达 2004 中国激光 31 681]
[12]	Zhou G Q 2009 Acta Phys. Sin. 58 6185 (in Chinese) [周国泉 2009 物理学报 58 6185]
[13]	Li R X, Li R H, Zhao C L, Lu X H 2007 Laser Infrared 37 534 (in Chinese) [李汝烯, 李汝恒, 赵承良, 陆璇辉 2007 激光与红外 37 534]
[14]	Lockyear M J, Hibbins A P, Sambles J R, Lawrence C R 2005 Phys. Rev. Lett. 94 193902
[15]	Liu C, Park S H 2004 Opt. Lett. 29 1742
[16]	Baida F I, Labeke D V 2003 Phys. Rev. B 67 155314
[17]	Du X Y, Zhao D M 2007 J. Opt. Soc. Am. A 24 444
[18]	L B D 2003 Laser Optics (Beijing: Higher Education Press) pp16-18 (in Chinese) [吕百达 2003 激光光学 (北京: 高等教育出版社) 第16-18页]
[19]	Wen J J, Breazeale M A 1988 J. Acoust. Soc. Am. 83 1752
[20]	Wen W, Lu X Y, Zhao C L, Cai Y J 2014 Opt. Commun. 313 350

施引文献

[1]	Durnin J 1987 J. Opt. Soc. Am. A 4 651
[2]	Sokolovskii G S 2014 Tech. Phys. Lett. 40 475
[3]	Wang Z Y, Li M 2009 Acta Opt. Sin. 29 2984 (in Chinese) [王中宇, 李萌 2009 光学学报 29 2984]
[4]	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]
[5]	He X, Wu F T, Li P, Chen Z Y 2014 Sci.China: 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]
[6]	Xie X X, Wu F T, Li D 2014 Acta Phys. Sin. 63 180201 (in Chinese) [谢晓霞, 吴逢铁, 李冬 2014 物理学报 63 180201]
[7]	Du T J, Wang T, Wu F T 2014 Opt. Commun. 317 24
[8]	Wang X F, Kang Z J, Pan Z W, Lian F Q, Huang K, Yu J 2011 Chin. J. Lasers 38 0402006 (in Chinese) [王小发, 康治军, 樊仲维, 连富强, 黄科, 余锦 2011 中国激光 38 0402006]
[9]	Zhou G Q 2009 Chin. Phys. B 18 1853
[10]	Chen B S, Pu J X 2010 Chin. Phys. B 19 074202
[11]	Ji X L, L B D 2004 Chin. J. Lasers 31 681 (in Chinese) [季小玲, 吕百达 2004 中国激光 31 681]
[12]	Zhou G Q 2009 Acta Phys. Sin. 58 6185 (in Chinese) [周国泉 2009 物理学报 58 6185]
[13]	Li R X, Li R H, Zhao C L, Lu X H 2007 Laser Infrared 37 534 (in Chinese) [李汝烯, 李汝恒, 赵承良, 陆璇辉 2007 激光与红外 37 534]
[14]	Lockyear M J, Hibbins A P, Sambles J R, Lawrence C R 2005 Phys. Rev. Lett. 94 193902
[15]	Liu C, Park S H 2004 Opt. Lett. 29 1742
[16]	Baida F I, Labeke D V 2003 Phys. Rev. B 67 155314
[17]	Du X Y, Zhao D M 2007 J. Opt. Soc. Am. A 24 444
[18]	L B D 2003 Laser Optics (Beijing: Higher Education Press) pp16-18 (in Chinese) [吕百达 2003 激光光学 (北京: 高等教育出版社) 第16-18页]
[19]	Wen J J, Breazeale M A 1988 J. Acoust. Soc. Am. 83 1752
[20]	Wen W, Lu X Y, Zhao C L, Cai Y J 2014 Opt. Commun. 313 350

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