Theoretical and experimental studies on the self-reconstruction property of non-diffracting Mathieu beam

被引：3
|
作者：
Li Dong [1 ]
Wu Feng-Tie [1 ]
Xie Xiao-Xia [1 ]
Sun Chuan [1 ]
机构：
[1] Huaqiao Univ, Coll Informat Sci & Engn, Fujian Key Lab Opt Beam Transmiss & Transformat, Xiamen 361021, Peoples R China
来源：
ACTA PHYSICA SINICA | 2015年 / 64卷 / 01期
基金：
中国国家自然科学基金;
关键词：
non-diffracting Mathieu beam; Mathieu Hankel wave's theory; self-reconstructing property; BESSEL BEAM;
D O I：
10.7498/aps.64.014201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Self-reconstruction properties of the Mathieu beam are studied theoretically and experimentally. By means of the Mathieu-Hankel wave's theory, the self-reconstruction mechanism of Mathieu beam is analyzed. Based on the Fresnel diffraction theory, an analytical expression for the optical field of a Mathieu beam partially blocked by a circular opaque obstacle is derived, and the self-reconstruction process of Mathieu beam is simulated based on the analytical expression. Using a cylindrical lens and an axicon system to generate Mathieu beam, the self-reconstruction properties of the Mathieu beam partially blocked by a circular opaque obstacle on axis and off axis are verified. Experimental results agree well with the theoretical analysis.
引用
收藏
页数：6
相关论文
共 15 条
  • [1] A detailed study of Mathieu-Gauss beams propagation through an apertured ABCD optical system
    Chafiq, A.
    Hricha, Z.
    Belafhal, A.
    [J]. OPTICS COMMUNICATIONS, 2006, 265 (02) : 594 - 602
  • [2] Analytical study on the self-healing property of Bessel beam
    Chu, X.
    [J]. EUROPEAN PHYSICAL JOURNAL D, 2012, 66 (10)
  • [3] Analytical study of the self-healing property of Airy beams
    Chu, Xiuxiang
    Zhou, Guoquan
    Chen, Ruipin
    [J]. PHYSICAL REVIEW A, 2012, 85 (01):
  • [4] EXACT-SOLUTIONS FOR NONDIFFRACTING BEAMS .1. THE SCALAR THEORY
    DURNIN, J
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1987, 4 (04): : 651 - 654
  • [5] Reconstruction of incoherent source Bessel beam
    Fan Dan-Dan
    Wu Feng-Tie
    Cheng Zhi-Ming
    Zhu Jian-Qiang
    [J]. ACTA PHYSICA SINICA, 2013, 62 (10)
  • [6] Simulation and experimental confirmation on the reconstruction of Bessel beams
    Fan Dan-Dan
    Zhang Qian-An
    Cheng Zhi-Ming
    Zheng Wei-Tao
    Wu Feng-Tie
    [J]. ACTA PHYSICA SINICA, 2012, 61 (16)
  • [7] Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam
    Garcés-Chávez, V
    McGloin, D
    Melville, H
    Sibbett, W
    Dholakia, K
    [J]. NATURE, 2002, 419 (6903) : 145 - 147
  • [8] A revolution in optical manipulation
    Grier, DG
    [J]. NATURE, 2003, 424 (6950) : 810 - 816
  • [9] Helmholtz-Gauss waves
    Gutiérrez-Vega, JC
    Bandres, MA
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2005, 22 (02) : 289 - 298
  • [10] A novel method of generating qausi-non-diffracting Mahtieu beam based on axicon
    Li Dong
    Wu Feng-Tie
    Xie Xiao-Xia
    [J]. ACTA PHYSICA SINICA, 2014, 63 (15)
12