Measuring the orbital angular momentum of partially coherent optical vortices through singularities in their cross-spectral density functions
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By analysis of the far-field cross-correlation function (CCF) of partially coherent optical beams, we demonstrate an implicit rule that the number of ring dislocations (dark zones) of the far-field CCF is equal to the original topological charge of an optical vortex rendered partially coherent. This novel link between an optical vortex and its correlation singularity may offer an efficient method for measuring the orbital angular momentum of partially coherent optical vortices in fields such as astrophysics and astronomy, as well as atmospheric laser communication.
Yang , Y , Mazilu , M & Dholakia , K 2012 , ' Measuring the orbital angular momentum of partially coherent optical vortices through singularities in their cross-spectral density functions ' Optics Letters , vol 37 , no. 23 , pp. 4949-4951 . DOI: 10.1364/OL.37.004949
© 2012 Optical Society of America. This paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ol/abstract.cfm?uri=ol-37-23-4949. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
DescriptionThis work is supported by UK EPSRC
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