Abstract

The high-order irradiance moments recently measured in turbulent air up to the fifth order in connection with the K distribution are compared with previous theory based on a cluster expansion of the irradiance moments <i>m<sub>v</sub></i> = 〈<i>I</i><sup><i>v</i></sup>〉/〈<i>I</i>〉<sup><i>v</i></sup>, <i>V</i> = 1, 2, 3,.... Good agreement is confirmed over the entire observed range 0.1 ≲ σ<i>I</i><sup>2</sup>〈I〉<sup>2</sup> ≲ 6 of the normalized variance of irradiance σ<i>I</i><sup>2</sup>/〈<i>I</i>〉<sup>2</sup>, including the regions of both unsaturated and saturated scintillations. Also shown are the theoretical curves of the mean and the variance of the log-amplitude, and good consistency is found with values of previous experiments made exclusively in terms of the log-amplitude and also of recent experiments made simultaneously on both log-amplitude and irradiance. The K distribution fits the experimental results of the <i>m<sub>v</sub></i> values well within the range σ<i>I</i><sup>2</sup>/〈<i>I</i>〉<sup>2</sup>≲2 but definitely fails to fit those of the mean and the variance of the log-amplitude.

© 1982 Optical Society of America

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  1. M. E. Gracheva, A. S. Gurvich, S. S. Kashkarov, and V. V. Pokasov, "Similarity correlations and their experimental verification in the case of strong intensity fluctuations of laser radiation," Trans. LRG-73-T-28 (Aerospace Corporation, Los Angeles, Calif. 1973).
  2. M. E. Gracheva, A. S. Gurvich, S. O. Lomadze, V. V. Pokasov, and A. S. Khrupin, "Probability distribution of ‘strong’ fluctuations of light intensity in the atmosphere," Radiophys. Quantum Electron. 17, 83–87 (1974).
  3. G. Parry and P. N. Pusey, "K distributions in atmospheric propagation of laser light," J. Opt. Soc. Am. 69, 796–798 (1979).
  4. G. Parry, "Measurement of atmospheric turbulence induced intensity fluctuations in a laser beam," Opt. Acta 28, 715–728 (1981).
  5. K. Furutsu, "Theory of irradiance distribution function in turbulent media—cluster approximation," J. Math. Phys. 17, 1252–1263 (1976).
  6. K. Furutsu, "Review of the theory of the irradiance distribution in turbulent media with a particular emphasis on analytical methods," Radio Sci. 14, 287–299 (1979).
  7. V. U. Zavorotnyi, V. I. Klyatskin, and V. I. Tatarskii, "Strong fluctuations of the intensity of electromagnetic waves in randomly inhomogeneous media," Sov. Phys. JETP 46, 252–260 (1977).
  8. I. G. Yakushikin, "Moments of field propagating in randomly inhomogeneous medium in the limit of saturated fluctuations," Radiophys. Quantum Electron. 21, 835–840 (1978).
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  13. 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).
  14. R. L. Phillips and L. C. Andrews, "Measured statistics of laser-light scattering in atmospheric turbulence," J. Opt. Soc. Am. 71, 1140–1445 (1981).

1981 (3)

1979 (3)

G. Parry and P. N. Pusey, "K distributions in atmospheric propagation of laser light," J. Opt. Soc. Am. 69, 796–798 (1979).

K. Furutsu, "Review of the theory of the irradiance distribution in turbulent media with a particular emphasis on analytical methods," Radio Sci. 14, 287–299 (1979).

R. Dashen, "Path integrals for waves in random media," J. Math. Phys. 20, 894–920 (1979).

1978 (1)

I. G. Yakushikin, "Moments of field propagating in randomly inhomogeneous medium in the limit of saturated fluctuations," Radiophys. Quantum Electron. 21, 835–840 (1978).

1977 (1)

V. U. Zavorotnyi, V. I. Klyatskin, and V. I. Tatarskii, "Strong fluctuations of the intensity of electromagnetic waves in randomly inhomogeneous media," Sov. Phys. JETP 46, 252–260 (1977).

1976 (1)

K. Furutsu, "Theory of irradiance distribution function in turbulent media—cluster approximation," J. Math. Phys. 17, 1252–1263 (1976).

1974 (1)

M. E. Gracheva, A. S. Gurvich, S. O. Lomadze, V. V. Pokasov, and A. S. Khrupin, "Probability distribution of ‘strong’ fluctuations of light intensity in the atmosphere," Radiophys. Quantum Electron. 17, 83–87 (1974).

1970 (1)

M. E. Gracheva, A. S. Gurvich, and M. A. Kallistratova, "Measurement of the average amplitude of a light wave propagating in a turbulent atmosphere," Radiophys. Quantum Electron. 13, 36–39 (1970).

1968 (1)

Andrews, L. C.

Clifford, S. F.

Dashen, R.

R. Dashen, "Path integrals for waves in random media," J. Math. Phys. 20, 894–920 (1979).

de Wolf, D. A.

Furutsu, K.

K. Furutsu, "Review of the theory of the irradiance distribution in turbulent media with a particular emphasis on analytical methods," Radio Sci. 14, 287–299 (1979).

K. Furutsu, "Theory of irradiance distribution function in turbulent media—cluster approximation," J. Math. Phys. 17, 1252–1263 (1976).

Gracheva, M. E.

M. E. Gracheva, A. S. Gurvich, S. O. Lomadze, V. V. Pokasov, and A. S. Khrupin, "Probability distribution of ‘strong’ fluctuations of light intensity in the atmosphere," Radiophys. Quantum Electron. 17, 83–87 (1974).

M. E. Gracheva, A. S. Gurvich, and M. A. Kallistratova, "Measurement of the average amplitude of a light wave propagating in a turbulent atmosphere," Radiophys. Quantum Electron. 13, 36–39 (1970).

M. E. Gracheva, A. S. Gurvich, S. S. Kashkarov, and V. V. Pokasov, "Similarity correlations and their experimental verification in the case of strong intensity fluctuations of laser radiation," Trans. LRG-73-T-28 (Aerospace Corporation, Los Angeles, Calif. 1973).

Gurvich, A. S.

M. E. Gracheva, A. S. Gurvich, S. O. Lomadze, V. V. Pokasov, and A. S. Khrupin, "Probability distribution of ‘strong’ fluctuations of light intensity in the atmosphere," Radiophys. Quantum Electron. 17, 83–87 (1974).

M. E. Gracheva, A. S. Gurvich, and M. A. Kallistratova, "Measurement of the average amplitude of a light wave propagating in a turbulent atmosphere," Radiophys. Quantum Electron. 13, 36–39 (1970).

M. E. Gracheva, A. S. Gurvich, S. S. Kashkarov, and V. V. Pokasov, "Similarity correlations and their experimental verification in the case of strong intensity fluctuations of laser radiation," Trans. LRG-73-T-28 (Aerospace Corporation, Los Angeles, Calif. 1973).

Hill, R. J.

Kallistratova, M. A.

M. E. Gracheva, A. S. Gurvich, and M. A. Kallistratova, "Measurement of the average amplitude of a light wave propagating in a turbulent atmosphere," Radiophys. Quantum Electron. 13, 36–39 (1970).

Kashkarov, S. S.

M. E. Gracheva, A. S. Gurvich, S. S. Kashkarov, and V. V. Pokasov, "Similarity correlations and their experimental verification in the case of strong intensity fluctuations of laser radiation," Trans. LRG-73-T-28 (Aerospace Corporation, Los Angeles, Calif. 1973).

Khrupin, A. S.

M. E. Gracheva, A. S. Gurvich, S. O. Lomadze, V. V. Pokasov, and A. S. Khrupin, "Probability distribution of ‘strong’ fluctuations of light intensity in the atmosphere," Radiophys. Quantum Electron. 17, 83–87 (1974).

Klyatskin, V. I.

V. U. Zavorotnyi, V. I. Klyatskin, and V. I. Tatarskii, "Strong fluctuations of the intensity of electromagnetic waves in randomly inhomogeneous media," Sov. Phys. JETP 46, 252–260 (1977).

Lomadze, S. O.

M. E. Gracheva, A. S. Gurvich, S. O. Lomadze, V. V. Pokasov, and A. S. Khrupin, "Probability distribution of ‘strong’ fluctuations of light intensity in the atmosphere," Radiophys. Quantum Electron. 17, 83–87 (1974).

Ochs, G. R.

G. R. Ochs and T.-i Wang, NOAA/ERL, U.S. Department of Commerce, Boulder, Colo. 80303 (personal communication).

Parry, G.

G. Parry, "Measurement of atmospheric turbulence induced intensity fluctuations in a laser beam," Opt. Acta 28, 715–728 (1981).

G. Parry and P. N. Pusey, "K distributions in atmospheric propagation of laser light," J. Opt. Soc. Am. 69, 796–798 (1979).

Phillips, R. L.

Pokasov, V. V.

M. E. Gracheva, A. S. Gurvich, S. O. Lomadze, V. V. Pokasov, and A. S. Khrupin, "Probability distribution of ‘strong’ fluctuations of light intensity in the atmosphere," Radiophys. Quantum Electron. 17, 83–87 (1974).

M. E. Gracheva, A. S. Gurvich, S. S. Kashkarov, and V. V. Pokasov, "Similarity correlations and their experimental verification in the case of strong intensity fluctuations of laser radiation," Trans. LRG-73-T-28 (Aerospace Corporation, Los Angeles, Calif. 1973).

Pusey, P. N.

Tatarskii, V. I.

V. U. Zavorotnyi, V. I. Klyatskin, and V. I. Tatarskii, "Strong fluctuations of the intensity of electromagnetic waves in randomly inhomogeneous media," Sov. Phys. JETP 46, 252–260 (1977).

Wang, T.-i

G. R. Ochs and T.-i Wang, NOAA/ERL, U.S. Department of Commerce, Boulder, Colo. 80303 (personal communication).

Yakushikin, I. G.

I. G. Yakushikin, "Moments of field propagating in randomly inhomogeneous medium in the limit of saturated fluctuations," Radiophys. Quantum Electron. 21, 835–840 (1978).

Zavorotnyi, V. U.

V. U. Zavorotnyi, V. I. Klyatskin, and V. I. Tatarskii, "Strong fluctuations of the intensity of electromagnetic waves in randomly inhomogeneous media," Sov. Phys. JETP 46, 252–260 (1977).

J. Math. Phys. (2)

K. Furutsu, "Theory of irradiance distribution function in turbulent media—cluster approximation," J. Math. Phys. 17, 1252–1263 (1976).

R. Dashen, "Path integrals for waves in random media," J. Math. Phys. 20, 894–920 (1979).

J. Opt. Soc. Am. (4)

Opt. Acta (1)

G. Parry, "Measurement of atmospheric turbulence induced intensity fluctuations in a laser beam," Opt. Acta 28, 715–728 (1981).

Radio Sci. (1)

K. Furutsu, "Review of the theory of the irradiance distribution in turbulent media with a particular emphasis on analytical methods," Radio Sci. 14, 287–299 (1979).

Radiophys. Quantum Electron. (3)

M. E. Gracheva, A. S. Gurvich, S. O. Lomadze, V. V. Pokasov, and A. S. Khrupin, "Probability distribution of ‘strong’ fluctuations of light intensity in the atmosphere," Radiophys. Quantum Electron. 17, 83–87 (1974).

I. G. Yakushikin, "Moments of field propagating in randomly inhomogeneous medium in the limit of saturated fluctuations," Radiophys. Quantum Electron. 21, 835–840 (1978).

M. E. Gracheva, A. S. Gurvich, and M. A. Kallistratova, "Measurement of the average amplitude of a light wave propagating in a turbulent atmosphere," Radiophys. Quantum Electron. 13, 36–39 (1970).

Sov. Phys. (1)

V. U. Zavorotnyi, V. I. Klyatskin, and V. I. Tatarskii, "Strong fluctuations of the intensity of electromagnetic waves in randomly inhomogeneous media," Sov. Phys. JETP 46, 252–260 (1977).

Other (2)

G. R. Ochs and T.-i Wang, NOAA/ERL, U.S. Department of Commerce, Boulder, Colo. 80303 (personal communication).

M. E. Gracheva, A. S. Gurvich, S. S. Kashkarov, and V. V. Pokasov, "Similarity correlations and their experimental verification in the case of strong intensity fluctuations of laser radiation," Trans. LRG-73-T-28 (Aerospace Corporation, Los Angeles, Calif. 1973).

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