Radial Hilbert transform with Laguerre-Gaussian spatial filters
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Updated: Aug 9, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Cheng-Shan Guo1, Yu-Jing Han, Jian-Bo Xu
1Department of Physics, Shandong Normal University, Jinan, China. guochsh@sdnu.edu.cn
Abstract:
We analyze the point spread function (PSF) of the image processing system for radial Hilbert transform and propose a novel spiral phase filter, called the Laguerre-Gaussian spatial filter (LGSF). Theoretical analysis and real experiments show that the LGSF possesses some advantages in comparison with the conventional spiral phase plate (SPP). For example, the PSF of the imaging system with a LGSF presents smaller suboscillations than that with the conventional SPP, which allows us to realize a radial Hilbert transform for achieving a high contrast edge enhancement with high resolution.
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