Effect of the radial and azimuthal mode indices of a partially coherent vortex field upon a spatial correlation singularity
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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.
Yang , Y , Chen , M , Mazilu , M , Mourka , A , Liu , Y-D & Dholakia , K 2013 , ' Effect of the radial and azimuthal mode indices of a partially coherent vortex field upon a spatial correlation singularity ' New Journal of Physics , vol. 15 , 113053 . https://doi.org/10.1088/1367-2630/15/11/113053
New Journal of Physics
© 2013 Yang et al. This is an Open Access article distributed in accordance with the terms of the Creative Commons Attribution (CC BY 3.0) license, which permits others to distribute, remix, adapt and build upon this work, for commercial use, provided the original work is properly cited
DescriptionFunding: 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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