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

Research output: Contribution to journalArticle

41 Citations (Scopus)

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 + |ℓ| for the low coherence cases. This is confirmed by our experimental results. This phenomenon may occur in any partially coherent vortex wave.

Original languageEnglish
Article number113053
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - 2013 Nov 1

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vortices
rings
coherent light
cross correlation
far fields
simulation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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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 + |ℓ| for the low coherence cases. This is confirmed by our experimental results. This phenomenon may occur in any partially coherent vortex wave.",
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Effect of the radial and azimuthal mode indices of a partially coherent vortex field upon a spatial correlation singularity. / Yang, Yuanjie; Chen, Mingzhou; Mazilu, Michael; Mourka, Areti; Liu, Yi Dong; Dholakia, Kishan.

In: New Journal of Physics, Vol. 15, 113053, 01.11.2013.

Research output: Contribution to journalArticle

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

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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 + |ℓ| for the low coherence cases. This is confirmed by our experimental results. This phenomenon may occur in any partially coherent vortex wave.

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