Abstract
We propose and experimentally demonstrate a technique to quantitatively determine the topological structure of the vortex beam coaxially launched into the random scattering media with another non-vortex beam of the orthogonal polarization component. The proposed technique applies the coherent superposition of the random electromagnetic fields and a priori knowledge of correlation of one of the random fields to determine the polarization correlation of the other. The polarization correlation of the random field is used to determine the topological charge and phase structure of the vortex beam from the laser speckle. The application of the proposed technique is demonstrated by determining the helicity and topological charge of the vortex beam for three different cases.
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