OSA's Digital Library

Optics Letters

Optics Letters


  • 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)

View Full Text Article

Enhanced HTML    Acrobat PDF (184 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

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)

Sort:  Author  |  Year  |  Journal  |  Reset  


Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited