OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 21, Iss. 13 — Jul. 1, 1982
  • pp: 2395–2398

Turbulence effects on coherent laser radar target statistics

Jeffrey H. Shapiro and Sun T. Lau  »View Author Affiliations

Applied Optics, Vol. 21, Issue 13, pp. 2395-2398 (1982)

View Full Text Article

Enhanced HTML    Acrobat PDF (709 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



This paper reports theoretical probability density and cumulative distribution functions for glint and speckle target returns in a compact coherent laser radar. Calculator programs are given to facilitate use of these results.

© 1982 Optical Society of America

Original Manuscript: December 19, 1981
Published: July 1, 1982

Jeffrey H. Shapiro and Sun T. Lau, "Turbulence effects on coherent laser radar target statistics," Appl. Opt. 21, 2395-2398 (1982)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. H. Shapiro, B. A. Capron, R. C. Harney, Appl. Opt. 20, 3292 (1981). [CrossRef] [PubMed]
  2. Q(t) is related to the familiar error function erf(t)=2π−1/2∫0texp(−τ2)dτ as follows Q(t) = 2−1[1 − erf(2−1/2t)].
  3. S. J. Halme, B. K. Levitt, R. S. Orr, “Bounds and Approximations for Some Integral Expressions Involving Lognormal Statistics,” Quarterly Progress Report 93, Research Lab. Electron., MIT (Apr.1969), pp. 163–175.
  4. E. V. Hoversten, R. O. Harger, S. J. Halme, Proc. IEEE 58, 1626 (1970). [CrossRef]
  5. J. H. Shapiro, “Imaging and Optical Communication through Atmospheric Turbulence,” in Laser Beam Propagation in the Atmosphere, J. W. Strohbehn, Ed. (Springer, Berlin, 1978). [CrossRef]
  6. This program uses a combination of Taylor series and asymptotic series expansions to yield accurate results for all t ≥ 0.It was previously published in J. H. Shapiro, R. C. Harney, Proc. Soc. Photo-Opt. Instrum. Eng. 295, 41 (1981).
  7. This program uses the saddle-point integration for Fr(a,0;c) of P. A. Humblet, “Two-Way Adaptive Optical Communication through the Clear Turbulent Atmosphere,” S. M. Thesis, MIT (1975).The calculator program was previously published in the paper cited in Ref. 6.

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