Advanced Search

ISSN1001-3806 CN51-1125/TN Map

Volume 39 Issue 5
Jul.  2015
Article Contents
Turn off MathJax

Citation:

Analysis of phase change of Laguerre-Gaussian vortex beam during propagation

  • Received Date: 2014-07-28
    Accepted Date: 2014-08-28
  • In order to study the phase characteristics of Laguerre-Gaussian vortex beam during propagation, the vortex beam was obtained by means of spiral phase plates. Based on Fresnel diffraction integral formula, the phase change of the beam in the propagation process and the stability of vortex beam phase singularities at integer order and fractional order were studied by theoretical derivation and numerical simulation. When the beam was transmitted a certain distance, phase contours of the light field on the observation plane became from diverging rays into petal-shaped arcs. The results show that if topological charge of the vortex beam is integer order, the phase singularity of the beam assumes stability in the propagation process. The phase singularity of fractional order is unstable, intensity distribution on the observation plane is obvious asymmetric and the central darkness gradually disappears. The research results supply theoretical foundation and practical guidance for the application of optical micro manipulation and information coding techniques.
  • 加载中
  • [1]

    YIN J P, LIU N C, XIA Y, et al. Generation of hollow laser beams and their applications in mordern optics[J]. Progress in Physics, 2004, 24(3):336-380 (in Chinese).
    [2]

    ZHAN Q W. Properties of circularly polarized vortex beams[J]. Optics Letters, 2006, 37(7):867-869.
    [3]

    JIA P, YANG Y, MIN C J, et al. Sidelobe-modulated optical vortices for free-space communication[J]. Optics Letters, 2013, 38(4):588-590.
    [4]

    ZHU Y Y, CHEN Z T, LIU C S, et al. Theoretical research of interference light field of off-axis vortex beam[J]. Journal of OptoelectronicsLaser, 2013, 24(5):1012-1017 (in Chinese).
    [5]

    LI L. Research of activity decay of red blood cells in static magnetic field with optical tweezers[J]. Laser Technology, 2013, 37(6):799-802 (in Chinese).
    [6]

    LI G, ZHANG S, LSENHOWER L, et al. Crossed vortex bottle beam trap for single-atom qubits[J]. Optics Letters, 2012, 37(5):851-853.
    [7]

    HE C, HUANG S J. A new-type composite vortex beam generated by coaxial superposition[J]. Journal of OptoelectronicsLaser, 2013, 24(12):2440-2445 (in Chinese).
    [8]

    GAO H F, REN Y X, LIU W W, et al. Rotation dynamics of yeast cell in vortex optical tweezers[J]. Chinese Journal of Lasers, 2011, 38(4):1-6 (in Chinese).
    [9]

    BAJKAL Y. Analysis of reciprocity of cos-Gaussian and cosh-Gaussian laser beams in a turbulent atmosphere[J]. Optics Express, 2004, 12(20): 4659-4674.
    [10]

    LIU M. Novel method to detect the orbital angular momentum in optical vortex beams[J]. Acta Optica Sinica, 2013, 33(3):1-7 (in Chinese).
    [11]

    CANG J, LIU X. Average capacity of free-space optical systems for a Laguerre-Gaussian beam propagating through non-Kolmogorov turbulence[J]. Optics Letters, 2011, 36(17):1-7 (in Chinese).
    [12]

    MENG X J, ZHU Y Y, CHEN Z T, et al. Properties of vortex beams with plane beam oblique incidence of fork-shaped grating[J]. Chinese Journal of Lasers, 2013, 40(2):1-5 (in Chinese).
    [13]

    BRZOBOHATY O. High quality quasi-Bessel beam generated by round-tip axicon[J]. Optics Express, 2008, 16(17): 12688-12700.
    [14]

    KOTLYAR V V, KOVALEV A A, SKIDANOV R V, et al. Diffraction of a finite-radius plane wave and a Gaussian beam by a helical axicon and a spiral phase plate[J]. Journal of the Optical Society of America, 2007, 24(7):1955-1964.
    [15]

    HE C, HUANG S J, GU T T, et al. Study of optical ring lattice array based on computer-generated holography[J]. Chinese Journal of Lasers, 2014, 41(3):193-198 (in Chinese).
  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Article views(6564) PDF downloads(456) Cited by()

Proportional views

Analysis of phase change of Laguerre-Gaussian vortex beam during propagation

  • 1. College of Science, Yanshan University, Qinhuangdao 066004, China;
  • 2. College of Liren, Yanshan University, Qinhuangdao 066004, China

Abstract: In order to study the phase characteristics of Laguerre-Gaussian vortex beam during propagation, the vortex beam was obtained by means of spiral phase plates. Based on Fresnel diffraction integral formula, the phase change of the beam in the propagation process and the stability of vortex beam phase singularities at integer order and fractional order were studied by theoretical derivation and numerical simulation. When the beam was transmitted a certain distance, phase contours of the light field on the observation plane became from diverging rays into petal-shaped arcs. The results show that if topological charge of the vortex beam is integer order, the phase singularity of the beam assumes stability in the propagation process. The phase singularity of fractional order is unstable, intensity distribution on the observation plane is obvious asymmetric and the central darkness gradually disappears. The research results supply theoretical foundation and practical guidance for the application of optical micro manipulation and information coding techniques.

Reference (15)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return