Abstract

The dependence of spectral shifts and switches in optical stochastic beams propagating through nonclassic turbulent medium on the slope of the power spectrum of fluctuations in the refractive index is revealed.

© 2010 Optical Society of America

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2010

Z. Tong and O. Korotkova, Phys. Rev. A 82, 013829 (2010).
[CrossRef]

2008

M. Alavinejad, B. Ghafarya, and D. Razzaghia, Opt. Commun. 281, 2173 (2008).
[CrossRef]

G. Zhang and J. Pu, J. Mod. Opt. 55, 2831 (2008).
[CrossRef]

H. Wang and X. Lia, Opt. Commun. 281, 2337 (2008).
[CrossRef]

O. Korotkova, J. Pu, and E. Wolf, J. Mod. Opt. 55, 1199 (2008).
[CrossRef]

I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, Opt. Eng. 47, 026003 (2008).
[CrossRef]

A. Zilberman, E. Golbraikh, and N. S. Kopeika, Appl. Opt. 47, 6385 (2008).
[CrossRef] [PubMed]

2007

D. Zhao, O. Korotkova, and E. Wolf, Opt. Lett. 32, 3483 (2007).
[CrossRef] [PubMed]

W. Lu, L. Liu, J. Sun, Q. Yang, and Y. Zhu, Opt. Commun. 271, 1 (2007).
[CrossRef]

J. Pu, O. Korotkova, and E. Wolf, Phys. Rev. E 75, 056610 (2007).
[CrossRef]

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 275, 292 (2007).
[CrossRef]

2006

2004

2003

2002

1999

J. Pu, H. Zhang, and S. Nemoto, Opt. Commun. 162, 57 (1999).
[CrossRef]

1998

1996

E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
[CrossRef]

1990

1989

1986

E. Wolf, Phys. Rev. Lett. 56, 1370 (1986).
[CrossRef] [PubMed]

Agrawal, G. P.

Alavinejad, M.

M. Alavinejad, B. Ghafarya, and D. Razzaghia, Opt. Commun. 281, 2173 (2008).
[CrossRef]

Andrews, L. C.

I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, Opt. Eng. 47, 026003 (2008).
[CrossRef]

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE Press, 1998).

Dogariu, A.

Ferrero, V.

I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, Opt. Eng. 47, 026003 (2008).
[CrossRef]

Foley, J. T.

Gbur, G.

Ghafarya, B.

M. Alavinejad, B. Ghafarya, and D. Razzaghia, Opt. Commun. 281, 2173 (2008).
[CrossRef]

Golbraikh, E.

Gori, F.

James, D. F. V.

E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
[CrossRef]

Ji, X.

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 275, 292 (2007).
[CrossRef]

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 259, 1 (2006).
[CrossRef]

Kopeika, N. S.

Korotkova, O.

Z. Tong and O. Korotkova, Phys. Rev. A 82, 013829 (2010).
[CrossRef]

O. Korotkova, J. Pu, and E. Wolf, J. Mod. Opt. 55, 1199 (2008).
[CrossRef]

J. Pu, O. Korotkova, and E. Wolf, Phys. Rev. E 75, 056610 (2007).
[CrossRef]

D. Zhao, O. Korotkova, and E. Wolf, Opt. Lett. 32, 3483 (2007).
[CrossRef] [PubMed]

J. Pu, O. Korotkova, and E. Wolf, Opt. Lett. 31, 2097 (2006).
[CrossRef] [PubMed]

Lia, X.

H. Wang and X. Lia, Opt. Commun. 281, 2337 (2008).
[CrossRef]

Liu, L.

W. Lu, L. Liu, J. Sun, Q. Yang, and Y. Zhu, Opt. Commun. 271, 1 (2007).
[CrossRef]

Lu, B.

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 275, 292 (2007).
[CrossRef]

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 259, 1 (2006).
[CrossRef]

L. Pan and B. Lu, J. Opt. Soc. Am. A 21, 140 (2004).
[CrossRef]

Lu, W.

W. Lu, L. Liu, J. Sun, Q. Yang, and Y. Zhu, Opt. Commun. 271, 1 (2007).
[CrossRef]

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

Nemoto, S.

J. Pu, H. Zhang, and S. Nemoto, Opt. Commun. 162, 57 (1999).
[CrossRef]

Pan, L.

Phillips, R. L.

I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, Opt. Eng. 47, 026003 (2008).
[CrossRef]

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE Press, 1998).

Pu, J.

O. Korotkova, J. Pu, and E. Wolf, J. Mod. Opt. 55, 1199 (2008).
[CrossRef]

G. Zhang and J. Pu, J. Mod. Opt. 55, 2831 (2008).
[CrossRef]

J. Pu, O. Korotkova, and E. Wolf, Phys. Rev. E 75, 056610 (2007).
[CrossRef]

J. Pu, O. Korotkova, and E. Wolf, Opt. Lett. 31, 2097 (2006).
[CrossRef] [PubMed]

J. Pu, H. Zhang, and S. Nemoto, Opt. Commun. 162, 57 (1999).
[CrossRef]

Razzaghia, D.

M. Alavinejad, B. Ghafarya, and D. Razzaghia, Opt. Commun. 281, 2173 (2008).
[CrossRef]

Roychowdhury, H.

Shirai, T.

Sun, J.

W. Lu, L. Liu, J. Sun, Q. Yang, and Y. Zhu, Opt. Commun. 271, 1 (2007).
[CrossRef]

Tatarski, V. I.

V. I. Tatarski, Wave Propagation in a Turbulent Medium (Nauka, 1967).

Tong, Z.

Z. Tong and O. Korotkova, Phys. Rev. A 82, 013829 (2010).
[CrossRef]

Toselli, I.

I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, Opt. Eng. 47, 026003 (2008).
[CrossRef]

Wang, H.

H. Wang and X. Lia, Opt. Commun. 281, 2337 (2008).
[CrossRef]

Wheelon, A. D.

A. D. Wheelon, Electromagnetic Scintillation (Cambridge U. Press, 2003), Vol. 2.
[CrossRef]

Wolf, E.

Yang, Q.

W. Lu, L. Liu, J. Sun, Q. Yang, and Y. Zhu, Opt. Commun. 271, 1 (2007).
[CrossRef]

Zhang, E.

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 275, 292 (2007).
[CrossRef]

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 259, 1 (2006).
[CrossRef]

Zhang, G.

G. Zhang and J. Pu, J. Mod. Opt. 55, 2831 (2008).
[CrossRef]

Zhang, H.

J. Pu, H. Zhang, and S. Nemoto, Opt. Commun. 162, 57 (1999).
[CrossRef]

Zhao, D.

Zhu, Y.

W. Lu, L. Liu, J. Sun, Q. Yang, and Y. Zhu, Opt. Commun. 271, 1 (2007).
[CrossRef]

Zilberman, A.

Appl. Opt.

J. Mod. Opt.

G. Zhang and J. Pu, J. Mod. Opt. 55, 2831 (2008).
[CrossRef]

O. Korotkova, J. Pu, and E. Wolf, J. Mod. Opt. 55, 1199 (2008).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Commun.

W. Lu, L. Liu, J. Sun, Q. Yang, and Y. Zhu, Opt. Commun. 271, 1 (2007).
[CrossRef]

H. Wang and X. Lia, Opt. Commun. 281, 2337 (2008).
[CrossRef]

J. Pu, H. Zhang, and S. Nemoto, Opt. Commun. 162, 57 (1999).
[CrossRef]

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 259, 1 (2006).
[CrossRef]

X. Ji, E. Zhang, and B. Lu, Opt. Commun. 275, 292 (2007).
[CrossRef]

M. Alavinejad, B. Ghafarya, and D. Razzaghia, Opt. Commun. 281, 2173 (2008).
[CrossRef]

Opt. Eng.

I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, Opt. Eng. 47, 026003 (2008).
[CrossRef]

Opt. Lett.

Phys. Rev. A

Z. Tong and O. Korotkova, Phys. Rev. A 82, 013829 (2010).
[CrossRef]

Phys. Rev. E

J. Pu, O. Korotkova, and E. Wolf, Phys. Rev. E 75, 056610 (2007).
[CrossRef]

Phys. Rev. Lett.

E. Wolf, Phys. Rev. Lett. 56, 1370 (1986).
[CrossRef] [PubMed]

Rep. Prog. Phys.

E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
[CrossRef]

Other

V. I. Tatarski, Wave Propagation in a Turbulent Medium (Nauka, 1967).

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE Press, 1998).

A. D. Wheelon, Electromagnetic Scintillation (Cambridge U. Press, 2003), Vol. 2.
[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

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Figures (2)

Fig. 1
Fig. 1

Normalized spectral density S N (unitless) as a function of λ for r = | r | = 0 and different α: α = 3.01 (dashed), α = 3.1 (dotted), α = 3.67 (dotted–dashed), and α = 4.9 (solid thin) at z = 0.5 km , z = 1 km , and z = 5 km . Solid thick curve shows the normalized spectral density in the source plane.

Fig. 2
Fig. 2

Density plots of actual spectral shift λ 1 overlapped with contour plots of normalized spectral shift ϱ = λ 1 λ 0 λ 0 as a function of z (horizontal axis, in meters) and r (vertical axis, in meters) for (a) α = 3.01 , (b) α = 3.10 , (c) α = 3.67 , and (d) α = 4.99 .

Equations (10)

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

S N 0 ( r ; λ ) = S 0 ( r 0 ; λ ) / 0 S 0 ( r 0 ; λ ) d λ .
W ( r 1 , r 2 ; λ ) = W 0 ( r 1 0 , r 2 0 ; λ ) K ( r 1 0 , r 2 0 , r 1 , r 2 ; λ ) d 2 r 1 0 d 2 r 2 0 ,
K ( r 1 0 , r 2 0 , r 1 , r 2 ; λ ) = ( 1 λ z ) 2 exp [ π i ( r 1 r 1 0 ) 2 ( r 2 r 2 0 ) 2 λ z ] × exp { 4 π 4 z 3 λ 2 [ ( r 1 r 2 ) 2 + ( r 1 r 2 ) ( r 1 0 r 2 0 ) + ( r 1 0 r 2 0 ) 2 ] 0 κ 3 Φ n ( κ ) d κ } ,
Φ n ( κ ) = A ( α ) C ˜ n 2 exp [ κ 2 / κ m 2 ] ( κ 2 + κ 0 2 ) α / 2 , 0 κ < , 3 < α < 5 ,
κ 0 = 2 π L 0 , κ m = c ( α ) l 0 , c ( α ) = [ 2 π 3 Γ ( 5 α 2 ) A ( α ) ] 1 α 5 , A ( α ) = 1 4 π 2 Γ ( α 1 ) cos ( α π 2 ) ,
I = 0 κ 3 Φ n ( κ ) d κ = A ( α ) 2 ( α 2 ) C ˜ n 2 κ m 2 α β exp ( κ 0 2 κ m 2 ) Γ ( 2 α 2 , κ 0 2 κ m 2 ) 2 κ 0 4 α ,
S N ( r ; λ ) = S ( r ; λ ) / 0 S ( r ; λ ) d λ ,
λ 1 ( r ) = 0 λ S ( r ; λ ) d λ / 0 S ( r ; λ ) d λ .
W ( 0 ) ( r 1 0 , r 2 0 ; λ ) = I 0 ( λ ) exp [ ( r 1 0 ) 2 + ( r 2 0 ) 2 4 σ 2 ] exp [ ( r 1 0 r 2 0 ) 2 2 δ 2 ] ,
S ( r , λ ) = I 0 ( λ ) Δ 2 ( z ) exp [ r 2 2 σ 2 Δ 2 ( z ) ] , Δ 2 ( z ) = 1 + ( λ z 2 π σ ) 2 [ 1 4 σ 2 + 1 δ 2 ] + 2 π 2 z 3 I 3 σ 2 ,

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