OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 11, Iss. 7 — Jul. 1, 1994
  • pp: 2112–2120

Realization of multiple images resulting from the partially coherent light from a Gaussian Schell-model source

Hiroyuki Yoshimura, Nobukatsu Takai, and Toshimitsu Asakura  »View Author Affiliations

JOSA A, Vol. 11, Issue 7, pp. 2112-2120 (1994)

View Full Text Article

Enhanced HTML    Acrobat PDF (888 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Multiple images with spots similar to those produced by a Gaussian Schell-model (GSM) source are realized in the observation plane of the Fresnel diffraction region at a distance 4NZT (N, a positive integer; ZT, Talbot distance) from the GSM source. In this formation the grating with apertures of a Gaussian amplitude transmittance is placed midway between the GSM source and the observation plane. We base our analysis on coherence theory, using the propagation of the ambiguity function from which the average intensity can be derived. It is found that the intensity distribution of the spots in the multiple images becomes wider with decreases in the source size, the spatial-coherence length of the source, and each aperture size of the grating used.

© 1994 Optical Society of America

Original Manuscript: October 21, 1993
Revised Manuscript: January 3, 1994
Manuscript Accepted: February 14, 1994
Published: July 1, 1994

Hiroyuki Yoshimura, Nobukatsu Takai, and Toshimitsu Asakura, "Realization of multiple images resulting from the partially coherent light from a Gaussian Schell-model source," J. Opt. Soc. Am. A 11, 2112-2120 (1994)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. R. Hadley, J. P. Hohimer, A. Owyoung, “Free-running modes for gain-guided diode laser arrays,” IEEE J. Quantum Electron. QE-23, 765–774 (1987). [CrossRef]
  2. D. Botez, “High-power monolithic phase-locked arrays of antiguided semiconductor diode lasers,” Proc. Inst. Electr. Eng. Part J 139, 14–23 (1992).
  3. P. L. Gourley, M. E. Warren, G. R. Hadley, G. A. Vawter, T. M. Brennan, B. E. Hammons, “Coherent beams from high efficiency two-dimensional surface-emitting semiconductor laser arrays,” Appl. Phys. Lett. 58, 890–892 (1991). [CrossRef]
  4. N. Streibl, “Beam shaping with optical array generators,” J. Mod. Opt. 36, 1559–1573 (1989). [CrossRef]
  5. P. Szwaykowski, V. Arrizon, “Talbot array illuminator with multilevel phase gratings,” Appl. Opt. 32, 1109–1114 (1993). [CrossRef] [PubMed]
  6. M. T. Gale, M. Rossi, H. Schütz, P. Ehbets, H. P. Herzig, D. Prongué, “Continuous-relief diffractive optical elements for two-dimensional array generation,” Appl. Opt. 32, 2526–2533 (1993). [CrossRef] [PubMed]
  7. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, Berlin, 1975), pp. 9–76. [CrossRef]
  8. A. T. Friberg, R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982). [CrossRef]
  9. A. T. Friberg, R. J. Sudol, “The spatial coherence properties of Gaussian Schell-model beams,” Opt. Acta 30, 1075–1097 (1983). [CrossRef]
  10. M. Bom, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980), Chap. X.
  11. W. H. Carter, E. Wolf, “Coherence and radiometry with quasihomogeneous planar sources,” J. Opt. Soc. Am. 67, 785–796 (1977). [CrossRef]
  12. K. Dutta, J. W. Goodman, “Reconstructions of images of partially coherent objects from samples of mutual intensity,” J. Opt. Soc. Am. 67, 796–803 (1977). [CrossRef]
  13. J.-P. Guigay, “The ambiguity function in diffraction and isoplanatic imaging by partially coherent beams,” Opt. Commun. 26, 136–138 (1978). [CrossRef]
  14. K.-H. Brenner, J. Ojeda-Castaneda, “Ambiguity function and Wigner distribution function applied to partially coherent imagery,” Opt. Acta 31, 213–223 (1984). [CrossRef]
  15. H. Yoshimura, N. Takai, T. Asakura, “Equiambiguity function ellipse of Gaussian Schell-model beams,” J. Opt. Soc. Am. A 11, 1136–1140 (1994). [CrossRef]
  16. H. Yoshimura, N. Takai, T. Asakura, “Effects of amplitude and phase fluctuations of the Ronchi grating on Talbot images under illumination of the partially coherent light,” J. Mod. Opt. 40, 825–839 (1993). [CrossRef]
  17. K. Patorski, “The self-imaging phenomenon and its application,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1989), Vol. 27, pp. 1–108. [CrossRef]
  18. S. Szapiel, K. Patorski, “Fresnel diffraction images of periodic objects under Gaussian beam illumination,” Opt. Acta 26, 439–446 (1979). [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