Abstract

The scintillation index of a Gaussian Schell-model beam with twist phase (i.e., twisted GSM beam) in weak turbulent atmosphere is formulated with the help of a tensor method. Variations of the scintillation index of a twisted GSM beam on propagation in turbulent atmosphere are studied in detail. It is interesting to find that the scintillation index of a twisted GSM beam can be smaller than that without twist phase in weak turbulent atmosphere. Thus, modulation of the twist phase of a partially coherent beam provides a new way to reduce turbulence-induced scintillation.

© 2012 Optical Society of America

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References

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2011

2010

2009

2008

O. Korotkova, Opt. Commun. 281, 2342 (2008).

M. Alavinejad and B. Ghafary, Opt. Lasers Eng. 46, 357 (2008).
[CrossRef]

2007

2006

Y. Cai and S. He, Appl. Phys. Lett. 89, 041117 (2006).
[CrossRef]

2004

O. Korotkova, L. C. Andrews, and R. L. Phillips, Opt. Eng. 43, 330 (2004).
[CrossRef]

2002

1994

1993

1983

S. J. Wang, Y. Baykal, and M. A. Plonus, J. Opt. Soc. Am. 73, 831 (1983).
[CrossRef]

V. A. Banakh, V. M. Buldakov, and V. L. Mironov, Opt. Spektrosk. 54, 1054 (1983).

Alavinejad, M.

M. Alavinejad and B. Ghafary, Opt. Lasers Eng. 46, 357 (2008).
[CrossRef]

Andrews, L. C.

O. Korotkova, L. C. Andrews, and R. L. Phillips, Opt. Eng. 43, 330 (2004).
[CrossRef]

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).

Banakh, V. A.

V. A. Banakh, V. M. Buldakov, and V. L. Mironov, Opt. Spektrosk. 54, 1054 (1983).

Baykal, Y.

Buldakov, V. M.

V. A. Banakh, V. M. Buldakov, and V. L. Mironov, Opt. Spektrosk. 54, 1054 (1983).

Cai, Y.

Chen, Y.

Dan, Y.

Eyyuboglu, H. T.

Friberg, A. T.

Gbur, G.

Ghafary, B.

M. Alavinejad and B. Ghafary, Opt. Lasers Eng. 46, 357 (2008).
[CrossRef]

Gu, Y.

He, S.

Y. Cai and S. He, Appl. Phys. Lett. 89, 041117 (2006).
[CrossRef]

Hopen, C. Y.

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).

Ishimaru, A.

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978), Vol. 2.

Korotkova, O.

Y. Gu, O. Korotkova, and G. Gbur, Opt. Lett. 34, 2261 (2009).
[CrossRef]

O. Korotkova, Opt. Commun. 281, 2342 (2008).

O. Korotkova, L. C. Andrews, and R. L. Phillips, Opt. Eng. 43, 330 (2004).
[CrossRef]

Lin, Q.

Liu, Z.

Ma, Y.

Mironov, V. L.

V. A. Banakh, V. M. Buldakov, and V. L. Mironov, Opt. Spektrosk. 54, 1054 (1983).

Mukunda, N.

Phillips, R. L.

O. Korotkova, L. C. Andrews, and R. L. Phillips, Opt. Eng. 43, 330 (2004).
[CrossRef]

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).

Plonus, M. A.

Simon, R.

Tervonen, E.

Turunen, J.

Wang, S. J.

Wang, X.

Wolf, E.

Wu, G.

Zhang, B.

Zhao, H.

Zhou, P.

Appl. Phys. Lett.

Y. Cai and S. He, Appl. Phys. Lett. 89, 041117 (2006).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Commun.

O. Korotkova, Opt. Commun. 281, 2342 (2008).

Opt. Eng.

O. Korotkova, L. C. Andrews, and R. L. Phillips, Opt. Eng. 43, 330 (2004).
[CrossRef]

Opt. Lasers Eng.

M. Alavinejad and B. Ghafary, Opt. Lasers Eng. 46, 357 (2008).
[CrossRef]

Opt. Lett.

Opt. Spektrosk.

V. A. Banakh, V. M. Buldakov, and V. L. Mironov, Opt. Spektrosk. 54, 1054 (1983).

Other

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978), Vol. 2.

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).

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Figures (1)

Fig. 1.
Fig. 1.

(a) Variation of σ2(0,L) of a twisted GSM beam against L; (b) variation of σ2(0,L) against |μ0|.

Equations (23)

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σ2(ρ,L)=I2(ρ,L)I(ρ,L)21,
W(r¯,0)=exp(ik2r¯TM1r¯),
M1=(m11m12m21m22),
J=(0110).
I(ρ,L)=[det(I¯+B¯M1+B¯P¯)]1/2exp[ik2ρ¯TMr1ρ¯],
B¯=(LI00LI),P¯=2ikρ02(IIII),
Mr1=[(M1+P¯)1+B¯]1.
I2(ρ,L)=1λ4L4Γ4(r1,r2,r3,r4)F4(r1,r2,r3,r4,ρ)×exp[ik2L(|r1ρ|2|r2ρ|2+|r3ρ|2|r4ρ|2)]×d2r1d2r2d2r3d2r4,
Γ4(r1,r2,r3,r4)E(r1)E*(r2)E(r3)E*(r4).
F4(r1,r2,r3,r4,ρ)=exp[0.5Dψ(r1r2)0.5Dψ(r1r4)]×exp[0.5Dψ(r2r3)0.5Dψ(r3r4)+0.5Dψ(r2r4)]×exp[+0.5Dψ(r1r3)+2Bx(r2r4,0)+2Bx(r1r3)]×exp[iDxs(r2r4)iDxs(r1r3)],
Γ4(r˜)=exp[ik2r˜TM˜1r˜],
M˜1=(M10I¯0I¯M1).
F4(r˜,ρ)=exp[ik2r˜TQ˜r˜],
Q˜=(Q1Q2Q2Q1),
Q1=2ik(Q111I¯Q12I¯Q12I¯Q122I¯),Q2=2ik(Q211I¯Q12I¯Q12I¯Q222I¯),
Q111=Q122*=2/ρ02+1/ρx2i/ρxs2,Q12=1/ρ02,
Q211=Q222*=(1/ρx2i/ρxs2).
I2(ρ,L)=exp(4σxs2)λ4det(B˜)1/2Γ4(r˜)F4(r˜,ρ)exp(ikr˜TB˜1ρ˜)×exp(ik2r˜TB˜1r˜)d2r1d2r2d2r3d2r4,
B˜1=(B¯10I¯0I¯B¯1).
I2(ρ,L)=[det(I˜+B˜M˜1+B˜Q˜)]1/2×exp(4σxs2ik2ρ˜TM˜r1ρ˜),
M˜r1=[(M˜1+Q˜)1+B˜]1.
σ2(ρ,L)=exp(4σxs2)[det(I¯+B¯M¯1+B¯P¯)][det(I˜+B˜M1+B˜Q˜)]1/2×exp[ik2ρ˜T(M˜r1M^r1)ρ˜]1,
M^r1=(Mr10I¯0I¯Mr1).

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