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

Yuanjie Yang; Mingzhou Chen; Michael Mazilu; Areti Mourka; Yi-Dong Liu; Kishan Dholakia

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

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

Yuanjie Yang, Mingzhou Chen^*, Michael Mazilu, Areti Mourka, Yi-Dong Liu, Kishan Dholakia

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The existence of a spatial correlation singularity or a ring dislocation in the spatial coherence function when a vortex is present has been demonstrated recently. Here, we investigate how the spatial correlation singularity is affected by both the radial and azimuthal mode indices (p, l) in a partially coherent light field. Theoretically, we find that the spatial correlation singularity may exist even in a non-vortex beam (l = 0) due to the radial index. Numerical simulations show the number of ring dislocations in the far-field cross correlation function is equal to 2p + vertical bar l vertical bar for the low coherence cases. This is confirmed by our experimental results. This phenomenon may occur in any partially coherent vortex wave.

Original language	English
Article number	113053
Number of pages	9
Journal	New Journal of Physics
Volume	15
DOIs	https://doi.org/10.1088/1367-2630/15/11/113053
Publication status	Published - 26 Nov 2013

Keywords

Orbital angular-momentum
Light
Vortices
Beams

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10.1088/1367-2630/15/11/113053

yang2013newjphysics113053
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title = "Effect of the radial and azimuthal mode indices of a partially coherent vortex field upon a spatial correlation singularity",

abstract = "The existence of a spatial correlation singularity or a ring dislocation in the spatial coherence function when a vortex is present has been demonstrated recently. Here, we investigate how the spatial correlation singularity is affected by both the radial and azimuthal mode indices (p, l) in a partially coherent light field. Theoretically, we find that the spatial correlation singularity may exist even in a non-vortex beam (l = 0) due to the radial index. Numerical simulations show the number of ring dislocations in the far-field cross correlation function is equal to 2p + vertical bar l vertical bar for the low coherence cases. This is confirmed by our experimental results. This phenomenon may occur in any partially coherent vortex wave.",

keywords = "Orbital angular-momentum, Light, Vortices, Beams",

author = "Yuanjie Yang and Mingzhou Chen and Michael Mazilu and Areti Mourka and Yi-Dong Liu and Kishan Dholakia",

note = "Funding: UK Engineering and Physical Sciences Research Council for funding. YY acknowledges support by the National Natural Science Foundation of China under grant numbers 61205122, 60908034 and 61107037, the Fundamental Research Funds for the Central Universities under grant no. ZYGX2010J112, and Doctoral Fund of Ministry of Education of China under grant no. 20090185120016. KD is a Royal Society-Wolfson Merit Award Holder.",

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day = "26",

doi = "10.1088/1367-2630/15/11/113053",

language = "English",

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TY - JOUR

T1 - Effect of the radial and azimuthal mode indices of a partially coherent vortex field upon a spatial correlation singularity

AU - Yang, Yuanjie

AU - Chen, Mingzhou

AU - Mazilu, Michael

AU - Mourka, Areti

AU - Liu, Yi-Dong

AU - Dholakia, Kishan

N1 - Funding: UK Engineering and Physical Sciences Research Council for funding. YY acknowledges support by the National Natural Science Foundation of China under grant numbers 61205122, 60908034 and 61107037, the Fundamental Research Funds for the Central Universities under grant no. ZYGX2010J112, and Doctoral Fund of Ministry of Education of China under grant no. 20090185120016. KD is a Royal Society-Wolfson Merit Award Holder.

PY - 2013/11/26

Y1 - 2013/11/26

N2 - The existence of a spatial correlation singularity or a ring dislocation in the spatial coherence function when a vortex is present has been demonstrated recently. Here, we investigate how the spatial correlation singularity is affected by both the radial and azimuthal mode indices (p, l) in a partially coherent light field. Theoretically, we find that the spatial correlation singularity may exist even in a non-vortex beam (l = 0) due to the radial index. Numerical simulations show the number of ring dislocations in the far-field cross correlation function is equal to 2p + vertical bar l vertical bar for the low coherence cases. This is confirmed by our experimental results. This phenomenon may occur in any partially coherent vortex wave.

AB - The existence of a spatial correlation singularity or a ring dislocation in the spatial coherence function when a vortex is present has been demonstrated recently. Here, we investigate how the spatial correlation singularity is affected by both the radial and azimuthal mode indices (p, l) in a partially coherent light field. Theoretically, we find that the spatial correlation singularity may exist even in a non-vortex beam (l = 0) due to the radial index. Numerical simulations show the number of ring dislocations in the far-field cross correlation function is equal to 2p + vertical bar l vertical bar for the low coherence cases. This is confirmed by our experimental results. This phenomenon may occur in any partially coherent vortex wave.

KW - Orbital angular-momentum

KW - Light

KW - Vortices

KW - Beams

U2 - 10.1088/1367-2630/15/11/113053

DO - 10.1088/1367-2630/15/11/113053

M3 - Article

SN - 1367-2630

VL - 15

JO - New Journal of Physics

JF - New Journal of Physics

M1 - 113053

ER -

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

Abstract

Keywords

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