Paper
18 September 2018 The reconstruction of the phase distribution of the intensity of a speckle field based on the use of the discrete 2D "window" Hilbert transform
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Abstract
An analysis of a "window" 2D/3D Hilbert transform for reconstruction of the phase distribution of the intensity of a speckle field has been carried out. It is shown that the advantage of these approaches consists in the invariance of a phase map to a change of the position of the kernel of transformation and in a possibility to reconstruct the structure forming elements of the skeleton of an optical field. Within the framework of the approach based on the use of the discrete 2D "window" Hilbert transform, we have demonstrated the feasibility for reconstructing the phase of random 2D objects in real time.
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P. A. Riabyi and P. O. Angelsky "The reconstruction of the phase distribution of the intensity of a speckle field based on the use of the discrete 2D "window" Hilbert transform", Proc. SPIE 10772, Unconventional and Indirect Imaging, Image Reconstruction, and Wavefront Sensing 2018, 1077211 (18 September 2018); https://doi.org/10.1117/12.2321241
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KEYWORDS
Spiral phase plates

Reconstruction algorithms

Speckle

Speckle pattern

Matrices

Phase retrieval

3D image reconstruction

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