Effect of the radial and azimuthal mode indices of a partially coherent vortex field upon a spatial correlation singularity

Yang, Yuanjie; Chen, Mingzhou; Mazilu, Michaël; Mourka, Areti; Liu, Yidong; Dholakia, Kishan

doi:10.1088/1367-2630/15/11/113053

Cited by 52 publications

(37 citation statements)

References 14 publications

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“…[21] that one can determine not only jlj but also the sign of l of a partially coherent LG 0l beam through the measurement of the mutual correlation function (MCF) or CCF with the help of cylindrical lenses. For a partially coherent LG pl beam [22] , it was demonstrated both theoretically [23] and experimentally [24] that the far-field ring dislocations equals 2p þ jlj. It was demonstrated numerically that one can determine the azimuthal and radial mode orders (i.e., p and jlj) through measuring the CCF and the double correlation function (DCF) together [25] .…”

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confidence: 97%

Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Liu

et al. 2017

Chin. Opt. Lett.

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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 experimentally.

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confidence: 97%

Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Liu

et al. 2017

Chin. Opt. Lett.

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“…Meanwhile, in Refs. [21][22][23] , the authors revealed the linkage between the mode indices and the cross correlation function (CCF) of a PCV beam, and they also discussed the spatial coherence on determining the mode indices of a PCV beam.Also, there has been interest in the use of spatial modes, such beams carrying OAM, as an additional degree of freedom to increase the available information bandwidth for free-space communication. Because a large Hilbert space is helpful to improve the security of cryptographic keys transmitted with a quantum key distribution system 33 .…”

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confidence: 99%

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confidence: 99%

“…Recently, more and more researches have focused on the partially coherent vortex (PCV) beam [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] . In 2004, Palacios et al firstly verified that a robust phase singularity exists in the spatial coherence function when a vortex is presented 17 in the original beam.…”

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confidence: 99%

“…In Refs. 17,23 , the authors experimentally used a wavefront folding interferometer to measure the mode indices of a PCV beam. When the size of PCV beam is large compared to the measuring instrument, their scheme is difficult be used to measure the cross-correlation function.…”

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Measuring mode indices of a partially coherent vortex beam with Hanbury Brown and Twiss type experiment

et al. 2016

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It is known that the cross-correlation function (CCF) of a partially coherent vortex (PCV) beam shows a robust link with the radial and azimuthal mode indices. However, the previous proposals are difficult to measure the CCF in practical system, especially in the case of astronomical objects. In this letter, we demonstrate experimentally that the Hanbury Brown and Twiss effect can be used to measure the mode indices of the original vortex beam and investigate the relationship between the spatial coherent width and the characterization of CCF of a PCV beam. The technique we exploit is quite efficient and robust, and it may be useful in the field of free space communication and astronomy which are related to the photon's orbital angular momentum.In 1992, L. Allen et al. 1 pointed out that beam with spiral phase distribution of exp(ilϕ) carries an orbital angular momentum (OAM) of l , where l is an integer which denotes the azimuthal mode index (topological charge), and ϕ is the azimuthal coordinate. Beam with this kind of phase structure is also called vortex beam. Vortex beam has been widely studied in the last two decades and found a lot of applications, such as optical tweezers 2 , spiral phase contrast microscopy 3 .Since the values of l is theoretically unlimited, OAM states construct an infinite dimensional Hilbert space, and it exhibits great potential for applications in the field of quantum information process 4,5 , free-space information transfer and communications 6-8 . Despite the extensive applications, determining the topological charge l of OAM state remains an intriguing problem, and a lot of methods has been proposed. Such as MachZehnder interferometer 9 , diffraction pattern with specific masks 10-13 , image reformatting 14 , intensity analysis 15,16 .Recently, more and more researches have focused on the partially coherent vortex (PCV) beam 17-31 . In 2004, Palacios et al. firstly verified that a robust phase singularity exists in the spatial coherence function when a vortex is presented 17 in the original beam. Meanwhile, in Refs. [21][22][23] , the authors revealed the linkage between the mode indices and the cross correlation function (CCF) of a PCV beam, and they also discussed the spatial coherence on determining the mode indices of a PCV beam.Also, there has been interest in the use of spatial modes, such beams carrying OAM, as an additional degree of freedom to increase the available information bandwidth for free-space communication. Because a large Hilbert space is helpful to improve the security of cryptographic keys transmitted with a quantum key distribution system 33 . Since the important application of free space communication, the effects of propagation through random aberrations (atmospheric turbua) Electronic mail: zhangpei@mail.ustc.edu.cn lence) on coherence for single-photon communication systems based on orbital angular momentum states are also investigated 32,34-36 . However, determining the mode indices of a PCV beam is still difficult. In Refs. 17,23 , the authors experim...

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Measuring and structuring the spatial coherence length of organic light‐emitting diodes

Xie

Chen

Mazilu

et al. 2015

Laser & Photonics Reviews

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The spatial coherence of organic light-emitting diodes (OLEDs) is an important parameter that has gained little attention to date. Here, we present a method for making quantitative measurements of the spatial coherence of OLEDs using a Young's double-slit experiment. The usefulness of the method is demonstrated by making measurements on a range of OLEDs with different emitters (iridium and europium complexes) and architectures (bottom and top emitting) and the fringe visibility is further manipulated by gratings embedded in external diffractive optical elements. Based on the experiments and simulation of the results, we quantitatively determine the spatial coherence lengths of several OLEDs and find them to be a few micrometers. A 60% increase in the spatial coherence length was observed when using a narrow bandwidth emitter and a metal-coated grating.

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Effect of the radial and azimuthal mode indices of a partially coherent vortex field upon a spatial correlation singularity

Cited by 52 publications

References 14 publications

Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Measuring mode indices of a partially coherent vortex beam with Hanbury Brown and Twiss type experiment

Measuring and structuring the spatial coherence length of organic light‐emitting diodes

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