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 journalArticlepeer-review

57 Citations (Scopus)
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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 + 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 languageEnglish
Article number113053
Number of pages9
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - 26 Nov 2013

Keywords

  • Orbital angular-momentum
  • Light
  • Vortices
  • Beams

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