Abstract

The evolution of the scintillation index of a spherical wave propagating through randomly varying profiles of the strength and the smallest scale of turbulence is calculated. These parameters were taken to be jointly log normal along the range. The specific parameters of the probability-density function that were used were taken from stratospheric experiments conducted by the U.S. Air Force.

© 1999 Optical Society of America

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References

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  1. S. M. Flatté, G. Y. Wang, and J. M. Martin, J. Opt. Soc. Am. A 10, 2363 (1993).
    [CrossRef]
  2. A. Consortini, F. Cochetti, J. H. Churnside, and R. J. Hill, J. Opt. Soc. Am. A 10, 2354 (1993).
    [CrossRef]
  3. V. I. Tatarskii and V. U. Zavorotnyi, J. Opt. Soc. Am. A 12, 2069 (1985).
    [CrossRef]
  4. J. Gozani, Opt. Lett. 17, 559 (1992).
    [CrossRef] [PubMed]
  5. J. Gozani, Phys. Rev. E 53, 6486 (1996).
    [CrossRef]
  6. K. S. Gochelashvilli, V. G. Pevgov, and V. I. Shishov, Sov. J. Quantum Electron. 4, 632 (1974).
    [CrossRef]
  7. V. I. Tatarskii, The Effect of the Turbulent Atmosphere on Wave Propagation (National Technical Information Service, Springfield, Va., 1971).
  8. R. J. Hill, J. Fluid Mech. 28, 541 (1978).
    [CrossRef]
  9. R. G. Frehlich, J. Atmos. Sci. 49, 1494 (1992).
    [CrossRef]
  10. I. M. Dagesamanskaya and V. I. Shishov, Izv. Vyssh. Uchebn. Zaveol. Radiofiz. 13, 16 (1970).
  11. J. Gozani, J. Opt. Soc. Am. A 12, 2144 (1985).
    [CrossRef]
  12. J. Gozani, Waves Random Media 3, 279 (1993).
    [CrossRef]
  13. M. J. Beran, IEEE Trans. Antennas Propag. AP-15, 66 (1967).
    [CrossRef]
  14. D. E. Reeve, R. S. Leonard, and M. C. Cook, J. Mod. Opt. 37, 5 (1990).
    [CrossRef]
  15. R. G. Frehlich, Appl. Opt. 33, 5764 (1994).
    [CrossRef] [PubMed]
  16. I. G. Yakushkin, Radiophys. Quantum Electron. 18, 270 (1975).
    [CrossRef]
  17. V. I. Tatarskii and V. U. Zavorotnyi, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. XVIII, p. 207.
  18. B. Masson, Phillips Labs, Kirtland Air Force Base, N.M. 87117 (personal communication, November1996).

1996 (1)

J. Gozani, Phys. Rev. E 53, 6486 (1996).
[CrossRef]

1994 (1)

1993 (3)

1992 (2)

J. Gozani, Opt. Lett. 17, 559 (1992).
[CrossRef] [PubMed]

R. G. Frehlich, J. Atmos. Sci. 49, 1494 (1992).
[CrossRef]

1990 (1)

D. E. Reeve, R. S. Leonard, and M. C. Cook, J. Mod. Opt. 37, 5 (1990).
[CrossRef]

1985 (2)

J. Gozani, J. Opt. Soc. Am. A 12, 2144 (1985).
[CrossRef]

V. I. Tatarskii and V. U. Zavorotnyi, J. Opt. Soc. Am. A 12, 2069 (1985).
[CrossRef]

1978 (1)

R. J. Hill, J. Fluid Mech. 28, 541 (1978).
[CrossRef]

1975 (1)

I. G. Yakushkin, Radiophys. Quantum Electron. 18, 270 (1975).
[CrossRef]

1974 (1)

K. S. Gochelashvilli, V. G. Pevgov, and V. I. Shishov, Sov. J. Quantum Electron. 4, 632 (1974).
[CrossRef]

1970 (1)

I. M. Dagesamanskaya and V. I. Shishov, Izv. Vyssh. Uchebn. Zaveol. Radiofiz. 13, 16 (1970).

1967 (1)

M. J. Beran, IEEE Trans. Antennas Propag. AP-15, 66 (1967).
[CrossRef]

Beran, M. J.

M. J. Beran, IEEE Trans. Antennas Propag. AP-15, 66 (1967).
[CrossRef]

Churnside, J. H.

Cochetti, F.

Consortini, A.

Cook, M. C.

D. E. Reeve, R. S. Leonard, and M. C. Cook, J. Mod. Opt. 37, 5 (1990).
[CrossRef]

Dagesamanskaya, I. M.

I. M. Dagesamanskaya and V. I. Shishov, Izv. Vyssh. Uchebn. Zaveol. Radiofiz. 13, 16 (1970).

Flatté, S. M.

Frehlich, R. G.

R. G. Frehlich, Appl. Opt. 33, 5764 (1994).
[CrossRef] [PubMed]

R. G. Frehlich, J. Atmos. Sci. 49, 1494 (1992).
[CrossRef]

Gochelashvilli, K. S.

K. S. Gochelashvilli, V. G. Pevgov, and V. I. Shishov, Sov. J. Quantum Electron. 4, 632 (1974).
[CrossRef]

Gozani, J.

J. Gozani, Phys. Rev. E 53, 6486 (1996).
[CrossRef]

J. Gozani, Waves Random Media 3, 279 (1993).
[CrossRef]

J. Gozani, Opt. Lett. 17, 559 (1992).
[CrossRef] [PubMed]

J. Gozani, J. Opt. Soc. Am. A 12, 2144 (1985).
[CrossRef]

Hill, R. J.

Leonard, R. S.

D. E. Reeve, R. S. Leonard, and M. C. Cook, J. Mod. Opt. 37, 5 (1990).
[CrossRef]

Martin, J. M.

Masson, B.

B. Masson, Phillips Labs, Kirtland Air Force Base, N.M. 87117 (personal communication, November1996).

Pevgov, V. G.

K. S. Gochelashvilli, V. G. Pevgov, and V. I. Shishov, Sov. J. Quantum Electron. 4, 632 (1974).
[CrossRef]

Reeve, D. E.

D. E. Reeve, R. S. Leonard, and M. C. Cook, J. Mod. Opt. 37, 5 (1990).
[CrossRef]

Shishov, V. I.

K. S. Gochelashvilli, V. G. Pevgov, and V. I. Shishov, Sov. J. Quantum Electron. 4, 632 (1974).
[CrossRef]

I. M. Dagesamanskaya and V. I. Shishov, Izv. Vyssh. Uchebn. Zaveol. Radiofiz. 13, 16 (1970).

Tatarskii, V. I.

V. I. Tatarskii and V. U. Zavorotnyi, J. Opt. Soc. Am. A 12, 2069 (1985).
[CrossRef]

V. I. Tatarskii, The Effect of the Turbulent Atmosphere on Wave Propagation (National Technical Information Service, Springfield, Va., 1971).

V. I. Tatarskii and V. U. Zavorotnyi, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. XVIII, p. 207.

Wang, G. Y.

Yakushkin, I. G.

I. G. Yakushkin, Radiophys. Quantum Electron. 18, 270 (1975).
[CrossRef]

Zavorotnyi, V. U.

V. I. Tatarskii and V. U. Zavorotnyi, J. Opt. Soc. Am. A 12, 2069 (1985).
[CrossRef]

V. I. Tatarskii and V. U. Zavorotnyi, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. XVIII, p. 207.

Appl. Opt. (1)

IEEE Trans. Antennas Propag. (1)

M. J. Beran, IEEE Trans. Antennas Propag. AP-15, 66 (1967).
[CrossRef]

Izv. Vyssh. Uchebn. Zaveol. Radiofiz. (1)

I. M. Dagesamanskaya and V. I. Shishov, Izv. Vyssh. Uchebn. Zaveol. Radiofiz. 13, 16 (1970).

J. Atmos. Sci. (1)

R. G. Frehlich, J. Atmos. Sci. 49, 1494 (1992).
[CrossRef]

J. Fluid Mech. (1)

R. J. Hill, J. Fluid Mech. 28, 541 (1978).
[CrossRef]

J. Mod. Opt. (1)

D. E. Reeve, R. S. Leonard, and M. C. Cook, J. Mod. Opt. 37, 5 (1990).
[CrossRef]

J. Opt. Soc. Am. A (4)

Opt. Lett. (1)

Phys. Rev. E (1)

J. Gozani, Phys. Rev. E 53, 6486 (1996).
[CrossRef]

Radiophys. Quantum Electron. (1)

I. G. Yakushkin, Radiophys. Quantum Electron. 18, 270 (1975).
[CrossRef]

Sov. J. Quantum Electron. (1)

K. S. Gochelashvilli, V. G. Pevgov, and V. I. Shishov, Sov. J. Quantum Electron. 4, 632 (1974).
[CrossRef]

Waves Random Media (1)

J. Gozani, Waves Random Media 3, 279 (1993).
[CrossRef]

Other (3)

V. I. Tatarskii, The Effect of the Turbulent Atmosphere on Wave Propagation (National Technical Information Service, Springfield, Va., 1971).

V. I. Tatarskii and V. U. Zavorotnyi, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. XVIII, p. 207.

B. Masson, Phillips Labs, Kirtland Air Force Base, N.M. 87117 (personal communication, November1996).

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Figures (3)

Fig. 1
Fig. 1

Single intermittent event versus nonintermittence: log-normal x with x=0.164, σ2=1, and deterministic β02.

Fig. 2
Fig. 2

Same as in Fig.  1 but log-normal β02 with σ2=1 and deterministic x=0.

Fig. 3
Fig. 3

Same as in Fig.  1 but with jointly log-normal β02 and x with x=0.321, σ2=1.0, and ρ=-0.5.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

σI2rI2rss/Irss2-1.
rΓ4r,Ω,Ω=ikr2Ω·ΩΓ4+k2FrΩ,rΩ,Ω·Ω;ΘrΓ4,
Γ4uspr,Ωuspr,Ωusp*r,0usp*r,Ω+Ωss,
ur,Ω=uspr,Ωexpikr/r.
FrΩ,rΩ,Ω·Ω;ΘrDn˜rΩ+Ω;r+Dn˜rΩ+Ω;r-2Dn˜rΩ;r-2Dn˜rΩ;r,
Dñρ-dzñρ,z-ñ0,02ss=4πdκΦñκ,01-cosκ·ρ,
Φn˜K;Θz=0.033Cn2zK-11/3fKl0z,
Γ4r,Ω,Ω=Γ4r,Ω,Ω,α,
limΩΩΓ4r,Ω,Ω,α=Γ2r,Ω2,limΩΩΓ4r,Ω,Ω,α=Γ2r,Ω2.

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