Abstract

Reconstruction of a wind profile based on the statistics of plane-wave intensity fluctuations in a turbulent atmosphere is considered. The algorithm for wind profile retrieval from the spatiotemporal spectrum of plane-wave weak intensity fluctuations is described, and the results of end-to-end computer experiments on wind profiling based on the developed algorithm are presented. It is shown that the reconstructing algorithm allows retrieval of a wind profile from turbulent plane-wave intensity fluctuations with acceptable accuracy.

© 2007 Optical Society of America

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References

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2006 (2)

B. Garcia-Lorenzo and J. J. Fuensalida, Mon. Not. R. Astron. Soc. 372, 1483 (2006).
[CrossRef]

R. Avila, E. Carrasco, F. Ibanez, J. Vernin, J.-L. Prieur, and D. X. Cruz, Publ. Astron. Soc. Pac. 118, 503 (2006).
[CrossRef]

2004 (1)

J.-L. Prieur, R. Avila, G. Daigne, and J. Vernin, Publ. Astron. Soc. Pac. 116, 778 (2004).
[CrossRef]

2002 (1)

1998 (1)

V. A. Kliickers, N. J. Wooder, T. W. Nicholls, M. J. Adcock, I. Munro, and J. C. Dainty, Astron. Astrophys., Suppl. Ser. 130, 141 (1998).
[CrossRef]

1996 (1)

V. P. Kandidov, Usp. Fiz. Nauk 166, 1309 (1996)[V. P. Kandidov,Phys. Usp. 39, 1243 (1996)].
[CrossRef]

1987 (1)

1981 (1)

Appl. Opt. (3)

Astron. Astrophys., Suppl. Ser. (1)

V. A. Kliickers, N. J. Wooder, T. W. Nicholls, M. J. Adcock, I. Munro, and J. C. Dainty, Astron. Astrophys., Suppl. Ser. 130, 141 (1998).
[CrossRef]

Mon. Not. R. Astron. Soc. (1)

B. Garcia-Lorenzo and J. J. Fuensalida, Mon. Not. R. Astron. Soc. 372, 1483 (2006).
[CrossRef]

Publ. Astron. Soc. Pac. (2)

R. Avila, E. Carrasco, F. Ibanez, J. Vernin, J.-L. Prieur, and D. X. Cruz, Publ. Astron. Soc. Pac. 118, 503 (2006).
[CrossRef]

J.-L. Prieur, R. Avila, G. Daigne, and J. Vernin, Publ. Astron. Soc. Pac. 116, 778 (2004).
[CrossRef]

Usp. Fiz. Nauk (1)

V. P. Kandidov, Usp. Fiz. Nauk 166, 1309 (1996)[V. P. Kandidov,Phys. Usp. 39, 1243 (1996)].
[CrossRef]

Other (5)

V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation (IPTS, 1971).

S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics Wave Propagation through Random Media (Springer, 1989), Vol. 4.

V. A. Banakh and V. L. Mironov, Lidar in a Turbulent Atmosphere (Artech House, 1987).

V. E. Zuev, V. A. Banakh, and V. V. Pokasov, Optics of Turbulent Atmosphere (Gidrometeozdat, 1988) [in Russian].

V. Ya. Arsenin, Methods of Mathematical Physics and Special Functions (Nauka, 1984) [in Russian].

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Figures (3)

Fig. 1
Fig. 1

Wind profile simulation scheme.

Fig. 2
Fig. 2

Spatiotemporal spectrum of intensity fluctuations.

Fig. 3
Fig. 3

Transverse to path wind velocity as function of path length. ◻, initial wind profile; ×, reconstructed one.

Tables (1)

Tables Icon

Table 1 Initial Wind and Structure Constant Profiles

Equations (13)

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K I ( ρ , τ ) = I ( R + ρ 2 ; 0 ) I ( R ρ 2 ; τ ) I ( R + ρ 2 ; 0 ) I ( R ρ 2 ; τ ) ,
F ̃ I ( q , ω ) = 1 ( 2 π ) 3 d ρ d ρ K I ( ρ , τ ) exp ( i q ρ + i ω τ )
2 i k U ( x , ρ ) x + Δ ρ U ( x , ρ ) + 2 k 2 ε 1 ( x , ρ , t ) U ( x , ρ ) = 0 ,
U ( 0 , ρ ) = U 0 ,
ε 1 ( x , ρ ; τ ) = ε 1 ( x , ρ V ( x ) τ ; 0 ) ,
K I ( ρ , τ ) = 2 π k 2 x U 0 4 d q Φ ε ( q ) e i q ρ 0 1 d ξ C n 2 ( ξ ) e i qV ( ξ ) τ sin 2 ( x 2 k ( 1 ξ ) q 2 ) ,
f ( q , ω ) = F ̃ I ( q i e i , ω ) 2 π k 2 x U 0 4 Φ ε ( q ) = 0 1 d ξ C n 2 ( ξ ) sin 2 ( x 2 k ( 1 ξ ) q i 2 ) δ ( ω + q i V i ( ξ ) ) ,
δ ( φ ( ξ ) ) = n δ ( ξ ξ n ) φ ( ξ n ) ,
f ( q i , α q i ) = j C n 2 ( ξ j ) sin 2 ( x 2 k ( 1 ξ j ) q i 2 ) 1 q i V i ( ξ ) ξ j .
g i ( γ , α ) = 0 d q i q i 2 f ( q i , α q i ) cos ( γ q i 2 ) .
g i ( γ , α ) = j C n 2 ( ξ j ) V i ( ξ ) ξ j π 8 [ 2 δ ( γ ) δ ( γ + x k ( 1 ξ j ) ) δ ( γ x k ( 1 ξ j ) ) ] .
Δ V 2 4 x 2 k 2 R 0 2 T 0 2 + ( T 0 2 + V m a x 2 R 0 2 ) ( q 0 2 + V m a x 2 ω 0 2 ) ,
Δ x 1.35 k ( 4 x 2 k 2 R 0 2 + q 0 2 + V m a x 2 ω 0 2 )

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