2017
DOI: 10.3788/col201715.030002
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Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Abstract: It is known that one can determine the mode orders (i.e., the azimuthal order and radial order) of a partially coherent LG pl beam (i.e., a partially coherent vortex beam) based on the measurement of the cross-correlation function (CCF) and the double correlation function (DCF) together. The technique for measuring the CCF is known. In this Letter, we propose a method for measuring the DCF. Based on the proposed method, the determination of the mode orders of a partially coherent LG pl beam is demonstrated exp… Show more

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Cited by 16 publications
(5 citation statements)
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“…which is consistent with the results presented in [28][29][30]. Therefore, here we provide an alternative way to measure the beam mode indices of a vortex beam.…”
Section: Numerical Resultssupporting
confidence: 91%
See 1 more Smart Citation
“…which is consistent with the results presented in [28][29][30]. Therefore, here we provide an alternative way to measure the beam mode indices of a vortex beam.…”
Section: Numerical Resultssupporting
confidence: 91%
“…A LG beam is a classical representation of a vortex beam [21,27] which is characterized by the radial mode index p and azimuthal mode index l. Determining the radial and azimuthal mode indices (p, l) of a vortex beam is an intriguing and fundamental problem in quantum information and physics. Several methods are proposed to identify the beam mode indices such as measuring far-field cross-correlation or auto-correlation function and far-field DOC [28][29][30], which are only appropriate for a standard LG beam. Very recently, Dong et al [31] proposed for the first time a method for determining the azimuthal mode index of an elegant LG beam through farfield DOC.…”
Section: Introductionmentioning
confidence: 99%
“…A, B, C, and D are the transfer matrix elements of the optical system. The intensity and CDOC of the SCLs in the output plane are obtained as [53]:…”
Section: Methodsmentioning
confidence: 99%
“…In the experiment, we can calculate the square modulus of the CDOC using the following formula. As the light transmitted through the rotating ground glass disk obeys Gaussian statistics, by applying the Gaussian moment theorem, we can express the square modulus of the CDOC of the beam in the output plane using the intensity correlation expression, as follows [53]:…”
Section: Methodsmentioning
confidence: 99%
“…The advantages and the limitations of evaluating TC from the contour integral of the phase are examined in [5] by considering the propagation of Laguerre-Gaussian (LG) beam propagation in weak to strong atmospheric turbulence. In [6], TC which also refers to the azimuthal order of LG beams, is determined experimentally through measuring the MCF or cross correlation function in the focal plane. By examining the properties of the partially coherent vortex beams via cross spectral density function, it is concluded in [7] that in addition to azimuthal order based OAM, radial order of the LG beams may also be employed for optical communications.…”
Section: Introductionmentioning
confidence: 99%