OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 9 — Sep. 1, 1982
  • pp: 1213–1218

Probability density function of the intensity for a laser-generated speckle field after propagation through the turbulent atmosphere

V. S. Rao Gudimetla and J. Fred Holmes  »View Author Affiliations


JOSA, Vol. 72, Issue 9, pp. 1213-1218 (1982)
http://dx.doi.org/10.1364/JOSA.72.001213


View Full Text Article

Acrobat PDF (611 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

It is shown that, because of the effects of the turbulent atmosphere, the probability density function of the intensity for a monochromatic, fully developed speckle pattern changes from an exponential distribution at low turbulence levels to a K distribution as the turbulence level increases. A physical model that leads to the K distribution is proposed, and the parameters of the K distribution are derived in terms of the strength of turbulence, path length, wavelength, and beam size. The work is then extended to polychromatic and partially developed speckle patterns and to speckle with a coherent background. Good agreement is obtained between the theoretical predictions and experimental measurements.

© 1982 Optical Society of America

Citation
V. S. Rao Gudimetla and J. Fred Holmes, "Probability density function of the intensity for a laser-generated speckle field after propagation through the turbulent atmosphere," J. Opt. Soc. Am. 72, 1213-1218 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-9-1213


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. E. Jakeman and P. N. Pusey, "Significance of K-distributions in scattering experiments," Phys. Rev. Lett. 40, 546–550 (1978).
  2. G. Parry and P. N. Pusey, "K-distributions in atmospheric propagation of laser light," J. Opt. Soc. Am. 69, 796–798 (1979).
  3. S. F. Clifford and R. J. Hill, "Relation between irradiance and log-amplitude variance for optical scintillation described by the K distribution," J. Opt. Soc. Am. 71, 112–114 (1981).
  4. J. W. Goodman, "Statistical properties of laser speckle patterns," in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, New York, 1975), Chap. 2.
  5. P. A. Pincus, M. E. Fossey, J. F. Holmes, and J. R. Kerr, "Speckle propagation through turbulence; experimental," J. Opt. Soc. Am. 68, 760–762 (1978).
  6. J. W. Strohbehn, T.-i Wang and J. P. Speck, "On the probability distribution of line of sight fluctuations of optical signals," Radio Sci. 10, 59–70 (1975).
  7. J. F. Holmes and V. S. Rao Gudimetla, "Variance of intensity for a discrete spectrum polychromatic speckle field after propagation through the turbulent atmosphere," J. Opt. Soc. Am. 71, 1176–1179 (1981).
  8. M. Nakagami, "The m-distribution—a general formula of intensity distribution of rapid fading," in Statistical Methods in Radio Wave Propagation, W. C. Hoffman, ed. (Pergamon, New York, 1960), pp. 3–36.
  9. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1965), p. 340.
  10. J. F. Holmes, M. H. Lee and J. R. Kerr, "Effect of log-amplitude covariance function on the statistics of speckle propagation through turbulent atmosphere," J. Opt. Soc. Am. 70, 355–360 (1980).
  11. G. Parry, "Speckle patterns in partially coherent light," in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, New York, 1975), Chap. 3.
  12. V. S. Rao Gudimetla and J. F. Holmes, "Use of dominant eigenvalues in evaluating the probability density function of the intensity for a polychromatic speckle pattern," J. Opt. Soc. Am. 70, 1015–1017 (1980).
  13. J. W. Goodman, "Probability density function of the sum of N partially correlated speckle patterns," Opt. Commun. 13, 244–247 (1975).

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