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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.
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Keywords:
- Bessel beam /
- elliptical annular aperture /
- hollow beam /
- diffraction theory
[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 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 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 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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[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 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 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 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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