Phase-space tomography for characterization of rotationally symmetric beams

The experimental measurement of light field correlations is a difficult problem because, even in the monochromatic scalar case, the spatial coherence state of light is described by four-dimensional functions. Additional information about the field symmetry or coherence state allows reduction of the complexity of the problem. Here, we present a simplified coherence-agnostic phase-space tomography method for the experimental characterization of the widely used class of rotationally symmetric beams, which includes as a particular case partially coherent vortices. It is based on the reconstruction of the beam ambiguity function from the intensity distributions measured in the antisymmetric fractional Fourier transform domains. The experimental data can be acquired using an optical setup consisting of four cylindrical lenses and a digital camera located in fixed positions. The feasibility of the proposed method is experimentally demonstrated.

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