OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 1, Iss. 7 — Jul. 1, 1984
  • pp: 738–741

Nonstationary image-plane speckle statistics

G. April and H. H. Arsenault  »View Author Affiliations

JOSA A, Vol. 1, Issue 7, pp. 738-741 (1984)

View Full Text Article

Enhanced HTML    Acrobat PDF (683 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The properties of the image of a nonuniform transparency degraded by speckle noise are studied. Attention is focused on the spatial details of an object that cannot be resolved by a coherent system. Analysis of the power spectrum of the noisy spatial-intensity distribution in the image plane confirms that the bandwidth for coherent diffuse illumination corresponds to the incoherent transfer function of the system. Experimental verification is presented using a Ronchi ruling as a test object.

© 1984 Optical Society of America

Original Manuscript: October 4, 1983
Manuscript Accepted: March 21, 1984
Published: July 1, 1984

G. April and H. H. Arsenault, "Nonstationary image-plane speckle statistics," J. Opt. Soc. Am. A 1, 738-741 (1984)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, New York, 1975), pp. 9–75. [CrossRef]
  2. J. C. Dainty, “The statistics of speckle patterns,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1976), Vol. 8, pp. 1–46.
  3. V. N. Korwar, J. R. Pierce, “Detection of gratings and small features in speckle imagery,” Appl. Opt. 20, 312–319 (1981). [CrossRef] [PubMed]
  4. A. Kozma, C. R. Christensen, “Effect of speckle on resolution,” J. Opt. Soc. Am. 66, 1257–1260 (1976). [CrossRef]
  5. N. George, C. R. Christensen, J. S. Bennett, B. D. Guenther, “Speckle noise in displays,” J. Opt. Soc. Am. 66, 1282–1290 (1976). [CrossRef]
  6. J. S. Lim, H. Nawab, “Techniques for speckle noise removal,” Proc. Soc. Photo-Opt. Instrum. Eng. 243, 35–45 (1980).
  7. A. K. Jain, C. R. Christensen, “Digital processing of images in speckle noise,” Proc. Soc. Photo-Opt. Instrum. Eng. 243, 46–50 (1980).
  8. V. S. Frost, J. A. Stiles, K. S. Shanmugan, J. C. Holzman, “A model for radar images and its application to adaptive digital filtering of multiplicative noise,” IEEE Trans. Pattern. Anal. Mach. Intell. PAMI-4, 157–166 (1982). [CrossRef]
  9. J. S. Lee, “Speckle analysis and smoothing of synthetic aperture radar images,” Comput. Graphic Image Process. 17, 24–32 (1981). [CrossRef]
  10. J. S. Lee, “A simple speckle smoothing algorithm for synthetic aperture radar images,” IEEE Trans. Syst. Man Cybern. SMC-13, 85–89 (1983). [CrossRef]
  11. B. E. A. Saleh, M. Rabbani, “Linear filtering of speckled images,” Opt. Commun. 35, 327–331 (1980). [CrossRef]
  12. M. Tur, K. C. Chin, J. W. Goodman, “When is speckle noise multiplicative?” Appl. Opt. 21, 1157–1159 (1982). [CrossRef] [PubMed]
  13. D. T. Kuan, A. A. Sawchuk, T. C. Strand, P. Chavel, “Adaptive restoration of images with speckle,” Proc. Soc. Photo-Opt. Instrum. Eng. 359, 28–38 (1982).
  14. P. Beckman, A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, New York, 1963), p. 128.
  15. S. Lowenthal, H. H. Arsenault, “Image formation for coherent diffuse objects: statistical properties,” J. Opt. Soc. Am. 60, 1478–1483 (1970). [CrossRef]
  16. M. J. Beran, G. B. Parrent, Theory of Partial Coherence (Society of Photo-Optical Instrumentation Engineers, New York, 1974).
  17. M. G. Miller, A. M. Schneiderman, P. F. Kellen, “Second-order statistics of laser speckle patterns,” J. Opt. Soc. Am. 65, 779–785 (1975). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited