OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 7, Iss. 6 — Jun. 1, 1990
  • pp: 970–976

Joint Talbot effect and logic-operated moiré patterns

Liren Liu, Xiaoben Liu, and Liangang Ye  »View Author Affiliations

JOSA A, Vol. 7, Issue 6, pp. 970-976 (1990)

View Full Text Article

Enhanced HTML    Acrobat PDF (705 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A joint Talbot effect with two separated and crossed gratings of substructures is proposed. The mutual coupling in the joint self-imaging leads to a mechanism for the formation of the new moiré patterns. The conditions are studied for generating the logic-operated moiré fringes. Both theoretical analyses and experiments are given.

© 1990 Optical Society of America

Original Manuscript: August 15, 1989
Manuscript Accepted: February 1, 1990
Published: June 1, 1990

Liren Liu, Xiaoben Liu, and Liangang Ye, "Joint Talbot effect and logic-operated moiré patterns," J. Opt. Soc. Am. A 7, 970-976 (1990)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. F. Talbot, “Facts relating to optical science,” Philos. Mag. 9, 401 (1836).
  2. J. T. Winthrop, C. R. Worthington, “Theory of Fresnel images. I. Plane periodic objects in monochromatic light,” J. Opt. Soc. Am. 55, 373–381 (1965). [CrossRef]
  3. W. D. Montgomery, “Self-imaging objects of infinite aperture,” J. Opt. Soc. Am. 57, 772–778 (1967). [CrossRef]
  4. W. D. Montgomery, “Algebraic formulation of diffraction applied to self imaging,” J. Opt. Soc. Am. 58, 1112–1124 (1968). [CrossRef]
  5. Y. Cohen-Sabban, D. Joyeux, “Aberration-free nonparaxial self-imaging,” J. Opt. Soc. Am. 73, 707–719 (1983). [CrossRef]
  6. A. W. Lohmann, “An array illuminator based on the Talbot effect,” Optik 79, 41–45 (1988).
  7. O. Bryngdahl, “Orthogonal-states-grating moiré,” Opt. Commun. 41, 249–254 (1982). [CrossRef]
  8. S. Yokozeki, K. Patorski, “Moiré fringe profile prediction method and its application to fringe sharpening,” Appl. Opt. 17, 2541–2547 (1978). [PubMed]
  9. R. H. Katyl, “Moiré screens coded with pseudo-random sequences,” Appl. Opt. 11, 2278–2285 (1972). [CrossRef] [PubMed]
  10. J. Zhang, L. Liu, “Optical logical operation and moiré pattern,” Opt. Commun. 66, 179–182 (1988). [CrossRef]
  11. L. Liu, “Theory for Lau effect of plane objects,” Acta Opt. Sinica 6, 807–814 (1986).
  12. O. Bryngdahl, “Characteristics of superposed patterns in optics,” J. Opt. Soc. Am. 66, 87–94 (1976). [CrossRef]
  13. H. Bartelt, A. W. Lohmann, E. E. Sicre, “Optical logical processing in parallel with theta modulation,” J. Opt. Soc. Am. A 1, 944–951 (1984). [CrossRef]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited