Universal statistical model for irradiance fluctuations in a turbulent medium
JOSA, Vol. 72, Issue 7, pp. 864-870 (1982)
http://dx.doi.org/10.1364/JOSA.72.000864
Acrobat PDF (749 KB)
Abstract
A universal model is proposed for the irradiance fluctuations of an optical beam propagating through atmospheric turbulence. When this model was compared with existing measured data, we found good qualitative and quantitative agreement, which suggests that this new theoretical model is applicable under all known conditions of turbulence. In the regime of weak scattering, the normalized moments of the distribution are essentially the same as those predicted by the lognormal model, although they show large deviations from lognormal statistics in the saturation regime. The limiting form of the universal model for conditions of super-strong turbulence is that of the negative-exponential distribution, but, for more moderate conditions of turbulence, the form is that of an exponential times an infinite series of Laguerre polynomials. The new distribution was derived under the assumption that the field irradiance consists of two principal components, each of which has an amplitude that is m distributed.
© 1982 Optical Society of America
Citation
Ronald L. Phillips and Larry C. Andrews, "Universal statistical model for irradiance fluctuations in a turbulent medium," J. Opt. Soc. Am. 72, 864-870 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-7-864
Sort: Year | Journal | Reset
References
- G. R. Ochs, R. R. Bergmen, and J. R. Snyder, "Laser-beam scintillation over horizontal paths from 5.5 to 145 kilometers," J. Opt. Soc. Am. 59, 231–234 (1969).
- M. E. Gracheva, A. S. Gurvich, and M. A. Kallistratova, "Measurements of the variance of 'strong' intensity fluctuations of laser radiation in the atmosphere," Izv. Vyssh. Ucheb. Zaved. Radiofiz. 13, 55–60 (1970).
- J. R. Dunphy and J. R. Kerr, "Scintillation measurements for large integrated-path turbulence," J. Opt. Soc. Am. 63, 981–986 (1973).
- G. Parry and P. N. Pusey, "K-distributions in atmospheric propagation of laser light," J. Opt. Soc. Am. 69, 796–798 (1979).
- R. L. Phillips and L. C. Andrews, "Measured statistics of laser-light scattering in atmospheric turbulence," J. Opt. Soc. Am. 71, 1440–1445 (1981).
- V. I. Tatarskii, Wave Propagation in a Turbulent Medium, translated by R. S. Silverman (McGraw-Hill, New York, 1961).
- D. L. Fried, "Propagation of a spherical wave in a turbulent medium," J. Opt. Soc. Am. 57, 175–180 (1967).
- A. Ishimaru, Wave Propagation and Scattering Media (Academic, New York, 1978).
- S. F. Clifford, G. R. Ochs, and R. S. Lawrence, "Saturation of optical scintillations by strong turbulence," J. Opt. Soc. Am. 64, 148–154 (1974).
- A. S. Gurvich and V. I. Tatarskii, "Coherence and intensity fluctuations of light in the turbulent atmosphere," Radio Sci. 10, 3–14 (1975).
- G. Parry, "Measurements of atmospheric turbulence induced intensity fluctuations in a laser beam," Opt. Acta 28, 715–728 (1981).
- M. E. Gracheva, A. S. Gurvich, S. O. Lowadze, Vl. V. Pokasov, and A. S. Khrupin, "Probability distribution of 'strong' fluctuations of light intensity in the atmosphere," Izv. Vyssh, Uchebn. Zaved. Radiofiz. 17, 105–112 (1974).
- R. A. Elliot, J. R. Dunphy, and J. R. Kerr, "Statistical tests of distributional hypotheses applied to irradiance fluctuations," in Digest of Topical Meeting on Optical Propagation through Turbulence, Rain, and Fog (Optical Society of America, Washington, D.C., 1977), paper WA4.
- T.-I. Wang and J. W. Strohbehn, "Perturbed log-normal distribution of irradiance fluctuations," J. Opt. Soc. Am. 64, 994–1004 (1974).
- F. Davidson and A. Gonzalez-Del-Valle, "Measurements of three-parameter log-normally distributed optical-field irradiance fluctuations in a turbulent medium," J. Opt. Soc. Am. 65, 655–663 (1975).
- E. Jakeman and P. N. Pusey, "A model for non-Rayleigh sea echo," IEEE Trans. Antennas Propag. AP-24, 806–814 (1976).
- E. Jakeman, "On the statistics of K-distributed noise," J. Phys. A 13, 31–48 (1980).
- L. R. Bissonnette and P. L. Wizinowich, "Probability distribution of turbulent irradiance in a saturation regime," Appl. Opt. 18, 1590–1599 (1979).
- R. S. Lawrence and J. W. Strohbehn, "A survey of clear-air propagation effects relevant to optical communications," Proc. IEEE, 58, 1523–1545 (1970).
- P. F. Miller, "The probability distribution of a wave at a very large depth within an extended region," J. Phys A 11, 403–422 (1978).
- I. G. Yakushkin, "Moments of field propagating in randomly inhomogeneous medium in the limit of saturated fluctuations," Izv. Vyssh. Uchebn. Zaved., Radiofiz. 21, 1194–1201 (1978).
- 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).
- D. A. deWolf, "Waves in turbulent air: a phenomenological model," Proc. IEEE 62, 1523–1529 (1974).
- J. K. Jao and M. Elbaum, "First-order statistics of a non-Rayleigh fading signal and its detection," Proc. IEEE 66, 781–789 (1978).
- R. L. Fante, "Optical beam propagation in turbulent media," AFCRL-TR-75-0439, Phys. Sci. Res. Papers No. 640, Air Force Cambridge Res. Labs., Air Force Systems Command, USAF (U.S. Air Force Geophysical Laboratory, Bedford, Mass., 1975).
- M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1964).
- M. Nakagami, "The m-distribution—a general formula of intensity distribution of rapid fading," reprint from Statistical Methods of Radio Wave Propagation (Pergamon, Oxford, 1960).
- S. H. Lin, "Statistical behavior of a fading signal," Bell Syst. Tech. J. 50, 3211–3270 (1971).
- I. S. Gradshteyn and I. W. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980).
- A. Erdelyi et al., Higher Transcendental Functions, Bateman Manuscript Project (McGraw-Hill, New York, 1953), Vols. 1 and 2.
- R. Dashen, "Path integrals for waves in random media," J. Math. Phys. 20, 894–920 (1979).
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.