OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 4 — Feb. 24, 2003
  • pp: 339–346

Anomalous behaviors of the Fraunhofer diffraction patterns for a class of partially coherent light

Jixiong Pu and Shojiro Nemoto  »View Author Affiliations

Optics Express, Vol. 11, Issue 4, pp. 339-346 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (207 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In this paper, we investigate the Fraunhofer diffraction of a class of partially coherent light diffracted by a circular aperture. It is shown that by the illumination of partially coherent light of the special spatial correlation function, the anomalous behaviors of the diffraction patterns are found. We find that the decrease of the spatial coherence of the light in the aperture leads to the drastic changes of the diffraction pattern. Specifically, when the light in the aperture is fully coherent, the diffraction pattern is just an Airy disc. However, as the coherence decreases, the diffraction pattern becomes an annulus, and the radius of the annulus increases with the decrease of the coherence. Flattened annuli can be achieved, when the parameters characterizing the correlation of the partially coherent light are chosen with suitable values. Potential applications of modulating the coherence to achieve desired diffraction patterns are discussed.

© 2003 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1940) Diffraction and gratings : Diffraction

ToC Category:
Research Papers

Original Manuscript: January 27, 2003
Revised Manuscript: February 12, 2003
Published: February 24, 2003

Jixiong Pu and Shojiro Nemoto, "Anomalous behaviors of the Fraunhofer diffraction patterns for a class of partially coherent light," Opt. Express 11, 339-346 (2003)

Sort:  Journal  |  Reset  


  1. T. S. C. Som and S. C. Biswas, �??The far-field diffraction properties of apertures I. Circular apertures with Besinc correlated illumination,�?? Optica Acta 17, 925-942 (1970). [CrossRef]
  2. T. Asakura, �??Diffraction of partially coherent light by an apodized slit aperture,�?? Opt. Commun. 5, 279-284 (1972). [CrossRef]
  3. K. A. Nugent, �??Partially coherent diffraction patterns and coherence measurement,�?? J. Opt. Soc. Am. A 8, 1574-1579 (1991). [CrossRef]
  4. G. Gbur and E. Wolf, �??Spreading of partially coherent beams in random media,�?? J. Opt. Soc. Am. A 19, 1592-1598 (2002). [CrossRef]
  5. J. Pu and S. Nemoto, �??Spectral shifts and spectral switches in diffraction of partially coherent light by a circular aperture,�?? IEEE J. Quant. Electron. 36, 1407-1411 (2000). [CrossRef]
  6. J. Pu and S. Nemoto, �??Spectral changes and N �? 1 spectral switches in the diffraction of partially coherent light by an aperture,�?? J. Opt. Soc. Am. A 19, 339-344 (2002). [CrossRef]
  7. S. Anand, B. K. Yadav, and H. C. Kandpal, �??Experimental study of the phenomenon of N �? 1 spectral switch due to diffraction of partially coherent light,�?? J. Opt. Soc. Am A 19, 2223-2228 (2002). [CrossRef]
  8. J. T. Foley, �??The effect of an aperture on the spectrum of partially coherent light,�?? J. Opt. Soc. Am. A 8, 1099-1105 (1990). [CrossRef]
  9. Y. Ohtsuka, �??Modulation of optical coherence by ultrasonic waves,�?? J. Opt. Soc. Am. A 3, 1247-1257 (1986) [CrossRef]
  10. Y. Ohtsuka, �??Optical coherence reduction by an amplitude modulated ultrasonic wave,�?? Jpn. J. Appl. Phys. 17, 1775-1780 (1978). [CrossRef]
  11. J. Turunen, E. Tervonen, and A. T. Friberg, �??Acousto-optic control and modulation of optical coherence by electronically synthesized holographic grating,�?? J. Appl. Phys. 67, 49-59 (1990). [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