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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 33, Iss. 17 — Sep. 1, 2008
  • pp: 1945–1947

Laplacian differential reconstruction of in-line holograms recorded at two different distances

Cheng-Shan Guo, Qing-Yang Yue, Gong-Xiang Wei, Lei-Lei Lu, and Shu-Juan Yue  »View Author Affiliations


Optics Letters, Vol. 33, Issue 17, pp. 1945-1947 (2008)
http://dx.doi.org/10.1364/OL.33.001945


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Abstract

We analyze the diffraction of the picture obtained by the subtraction of two in-line holograms recorded in two planes at distances of z and z + Δ z apart from the object plane. Our theoretical analysis reveals that the reconstructed field at the object plane is approximately equal to the Laplacian second-order differentiation of the object wave in transverse direction when Δ z is much smaller than the distance z, that is, the reconstructed image presents a high quality of edge enhancement. We further investigate the dependence of the edge-enhancement quality on the longitudinal differential distance Δ z and find that the reconstructed images have the sharpest edge-enhancement and high signal-to-noise ratio at the same time only when the value of Δ z z lies between 0.7% and 0.9% under our experimental condition. We also construct a criteria function, named the entropy of the image, to automatically focus the edge-enhanced image and demonstrate its adaptability in experiments.

© 2008 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(100.2980) Image processing : Image enhancement
(100.3010) Image processing : Image reconstruction techniques
(090.1995) Holography : Digital holography

ToC Category:
Diffraction and Gratings

History
Original Manuscript: April 28, 2008
Revised Manuscript: July 15, 2008
Manuscript Accepted: July 22, 2008
Published: August 20, 2008

Citation
Cheng-Shan Guo, Qing-Yang Yue, Gong-Xiang Wei, Lei-Lei Lu, and Shu-Juan Yue, "Laplacian differential reconstruction of in-line holograms recorded at two different distances," Opt. Lett. 33, 1945-1947 (2008)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-17-1945


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