Abstract
The Fresnel tomograms of Laguerre–Gaussian beams are found and the relation of the two-point spatial correlation function with the tomographic map is discussed. The spatial distribution and signature of vorticity of Laguerre–Gaussian modes is analyzed by measuring the two-point spatial correlation function of the one-dimensional projection of the vortex field. An interferometric approach, based on a Fourier projection algorithm, for the experimental determination of the two-point correlation function of the full complex vortex field at the cross-section plane of the recorded interference pattern is also described; this approach allows one to characterize the vortex structure and spatial coherence along the direction of propagation.
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De Nicola, S., Fedele, R., Man’ko, M.A. et al. Fresnel tomography and interferometric technique for characterizing Laguerre–Gaussian beams. J Russ Laser Res 31, 139–151 (2010). https://doi.org/10.1007/s10946-010-9133-7
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DOI: https://doi.org/10.1007/s10946-010-9133-7