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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 23 — Dec. 1, 2013
  • pp: 5169–5171

Radial Hilbert transform with the spatially variable half-wave plate

Yu-Jing Han, Cheng-Shan Guo, Zhen-Yu Rong, and Li-Ming Chen  »View Author Affiliations

Optics Letters, Vol. 38, Issue 23, pp. 5169-5171 (2013)

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We analyzed the point spread function (PSF) of the typical 4f optical image processing system by use of a spatially variable half-wave plate as the spatial filter and found that the PSF is an elementary vector beam. Theoretical analysis and real experiments show that the optical system can be used for a radially symmetric Hilbert transform that permits two-dimensional edge enhancement as the spiral phase plate. This kind of radial Hilbert transform is useful for image processing because it can enhance the edges of an input image selectively by exerting a polarization analyzer before the output plane. The optical system also can be used for generation of vector beams with arbitrary array and shape in real time conveniently.

© 2013 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.2980) Image processing : Image enhancement
(230.6120) Optical devices : Spatial light modulators
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

Original Manuscript: October 7, 2013
Revised Manuscript: October 22, 2013
Manuscript Accepted: October 28, 2013
Published: November 27, 2013

Yu-Jing Han, Cheng-Shan Guo, Zhen-Yu Rong, and Li-Ming Chen, "Radial Hilbert transform with the spatially variable half-wave plate," Opt. Lett. 38, 5169-5171 (2013)

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