OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 1 — Jan. 1, 1992
  • pp: 80–89

Talbot effect reinterpreted

Paul Latimer and Randy F. Crouse  »View Author Affiliations


Applied Optics, Vol. 31, Issue 1, pp. 80-89 (1992)
http://dx.doi.org/10.1364/AO.31.000080


View Full Text Article

Enhanced HTML    Acrobat PDF (1151 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Pattern generation in Talbot planes has generally been interpreted in terms of image formation, the repetitive slits are said to make repetitive images of themselves. In this context, Fourier optics developments have correctly predicted the positions of some but not all of the Talbot planes. Now, wave-optics methods are used to obtain general expressions for the positions of all known Talbot planes and the lateral positions of the diffraction fringes within them. These equations predict the key features of the Talbot effect, and they better relate multiple-slit diffraction in the Fresnel and Fraunhofer domains.

© 1992 Optical Society of America

History
Original Manuscript: December 18, 1990
Published: January 1, 1992

Citation
Paul Latimer and Randy F. Crouse, "Talbot effect reinterpreted," Appl. Opt. 31, 80-89 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-1-80


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. F. Talbot, “Facts relating to optical science No. IV,” Philos. Mag. 9, 401–407 (1836).
  2. Rayleigh, “On copying diffraction-gratings, and on some phenomenon connected therewith,” Philos. Mag. 11, 196–205 (1881). [CrossRef]
  3. J. M. Cowley, A. F. Moodie, “Fourier images: I-the point source,” Proc. R. Soc. London Ser. B 70, 486–496 (1957). [CrossRef]
  4. 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]
  5. E. A. Hiedemann, M. A. Breazeale, “Secondary interference in the Fresnel zone of gratings,” J. Opt. Soc. Am. 49, 372–375 (1959). [CrossRef]
  6. G. L. Rogers, “Calculations of intermediate Fourier images of a finite line grating on a digital computer, with an application to an unusual case,” Brit. J. Appl. Phys. 14, 657–661 (1963). [CrossRef]
  7. D. E. Silva, “Talbot interferometer for radial and lateral derivatives,” Appl. Opt. 11, 2613–2624 (1972). [CrossRef] [PubMed]
  8. Y. Nukano, K. Murata, “Talbot interferometer for measuring the focal length of a lens,” Appl. Opt. 24, 3162–3166 (1985). [CrossRef]
  9. E. Keren, I. Glatt, O. Kafri, “Propagator for the modulating transfer function of a wide-angle scatterer,” Opt. Lett. 11, 554–556 (1986). [CrossRef] [PubMed]
  10. K. Patorski, “Talbot interferometry with increased shear: part 3,” Appl. Opt. 27, 3875–3878 (1988). [CrossRef] [PubMed]
  11. E. Tepichin, J. Ojeda-Castaneda, “Talbot interferometer with simultaneous dark and bright fields,” Appl. Opt. 28, 1517–1520 (1989). [CrossRef] [PubMed]
  12. O. Kafri, E. Keren, K. Kreske, Y. Zag., “Moiré defiectometry with a focused beam: radius of curvature, microscopy, and thickness analysis,” Appl. Opt. 29, 133–136 (1990). [CrossRef] [PubMed]
  13. F. A. Jenkins, H. E. White, Fundamentals of Optics, 3rd ed. (McGraw-Hill, New York, 1957).
  14. M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1959), p. 382.

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