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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.21.002395


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Abstract

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

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

Citation
Jeffrey H. Shapiro and Sun T. Lau, "Turbulence effects on coherent laser radar target statistics," Appl. Opt. 21, 2395-2398 (1982)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-21-13-2395


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References

  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.

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