Abstract

We have explored a method to reduce turbulence-induced scintillation by using an incoherent beam array composed of beamlets with nonuniform polarization. It is shown that significant scintillation reduction of such an incoherent beam array can be obtained by using nonuniformly polarized beamlets whose scintillation properties are optimized.

© 2012 Optical Society of America

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References

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  1. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE Press, 2001).
  2. G. Gbur and T. D. Visser, Prog. Opt. 55, 285 (2010).
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  3. T. J. Schulz, Opt. Lett. 30, 1093 (2005).
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  4. C. Chen, H. Yang, X. Feng, and H. Wang, Opt. Lett. 34, 419 (2009).
    [CrossRef]
  5. D. G. Voelz and X. Xiao, Opt. Eng. 48, 036001 (2009).
    [CrossRef]
  6. D. K. Borah and D. G. Voelz, Opt. Express 18, 20746 (2010).
    [CrossRef]
  7. A. Peleg and J. V. Moloney, J. Opt. Soc. Am. A 23, 3114 (2006).
    [CrossRef]
  8. P. Polynkin, A. Peleg, L. Klein, T. Rhoadarmer, and J. V. Moloney, Opt. Lett. 32, 885 (2007).
    [CrossRef]
  9. Y. Gu and G. Gbur, J. Opt. Soc. Am. A 27, 2621 (2010).
    [CrossRef]
  10. Y. Baykal, H. T. Eyyuboğlu, and Y. Cai, Proc. SPIE 7200, 720002 (2009).
    [CrossRef]
  11. Y. Gu, O. Korotkova, and G. Gbur, Opt. Lett. 34, 2261 (2009).
  12. O. Korotkova, Opt. Commun. 281, 2342 (2008).
    [CrossRef]
  13. J. M. Martin and S. M. Flatté, Appl. Opt. 27, 2111 (1988).
    [CrossRef]
  14. L. C. Andrews and R. L. Phillips, Proc. SPIE 5338, 265 (2004).
    [CrossRef]

2010 (3)

2009 (4)

Y. Baykal, H. T. Eyyuboğlu, and Y. Cai, Proc. SPIE 7200, 720002 (2009).
[CrossRef]

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

C. Chen, H. Yang, X. Feng, and H. Wang, Opt. Lett. 34, 419 (2009).
[CrossRef]

D. G. Voelz and X. Xiao, Opt. Eng. 48, 036001 (2009).
[CrossRef]

2008 (1)

O. Korotkova, Opt. Commun. 281, 2342 (2008).
[CrossRef]

2007 (1)

2006 (1)

2005 (1)

2004 (1)

L. C. Andrews and R. L. Phillips, Proc. SPIE 5338, 265 (2004).
[CrossRef]

1988 (1)

Andrews, L. C.

L. C. Andrews and R. L. Phillips, Proc. SPIE 5338, 265 (2004).
[CrossRef]

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

Baykal, Y.

Y. Baykal, H. T. Eyyuboğlu, and Y. Cai, Proc. SPIE 7200, 720002 (2009).
[CrossRef]

Borah, D. K.

Cai, Y.

Y. Baykal, H. T. Eyyuboğlu, and Y. Cai, Proc. SPIE 7200, 720002 (2009).
[CrossRef]

Chen, C.

Eyyuboglu, H. T.

Y. Baykal, H. T. Eyyuboğlu, and Y. Cai, Proc. SPIE 7200, 720002 (2009).
[CrossRef]

Feng, X.

Flatté, S. M.

Gbur, G.

Gu, Y.

Hopen, C. Y.

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

Klein, L.

Korotkova, O.

Martin, J. M.

Moloney, J. V.

Peleg, A.

Phillips, R. L.

L. C. Andrews and R. L. Phillips, Proc. SPIE 5338, 265 (2004).
[CrossRef]

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

Polynkin, P.

Rhoadarmer, T.

Schulz, T. J.

Visser, T. D.

G. Gbur and T. D. Visser, Prog. Opt. 55, 285 (2010).
[CrossRef]

Voelz, D. G.

D. K. Borah and D. G. Voelz, Opt. Express 18, 20746 (2010).
[CrossRef]

D. G. Voelz and X. Xiao, Opt. Eng. 48, 036001 (2009).
[CrossRef]

Wang, H.

Xiao, X.

D. G. Voelz and X. Xiao, Opt. Eng. 48, 036001 (2009).
[CrossRef]

Yang, H.

Appl. Opt. (1)

J. Opt. Soc. Am. A (2)

Opt. Commun. (1)

O. Korotkova, Opt. Commun. 281, 2342 (2008).
[CrossRef]

Opt. Eng. (1)

D. G. Voelz and X. Xiao, Opt. Eng. 48, 036001 (2009).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Proc. SPIE (2)

Y. Baykal, H. T. Eyyuboğlu, and Y. Cai, Proc. SPIE 7200, 720002 (2009).
[CrossRef]

L. C. Andrews and R. L. Phillips, Proc. SPIE 5338, 265 (2004).
[CrossRef]

Prog. Opt. (1)

G. Gbur and T. D. Visser, Prog. Opt. 55, 285 (2010).
[CrossRef]

Other (1)

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

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Figures (5)

Fig. 1.
Fig. 1.

(a) Minimum on-axis scintillation of an NPB [σmin2(0,L)] as a function of the initial width of the LG01 mode. (b) The optimal amplitude ratio A0y/A0x. Here the propagation distance is 2.5 km and width of the LG00 mode is w0x=0.05m.

Fig. 2.
Fig. 2.

Intensity correlation coefficient ρIx,Iy as a function of the initial width of the LG01 mode. The parameters are the same as in Fig. 1.

Fig. 3.
Fig. 3.

Geometry of incoherent beam array.

Fig. 4.
Fig. 4.

On-axis scintillations of NPB, GB, and UPB arrays [σ2(0,L)] as a function of the off-axis distance d. w0x=5cm, w0y=2.2cm, E0x=1V/m, and E0y=1.8V/m. The rest of the parameters are the same as in Fig. 1.

Fig. 5.
Fig. 5.

On-axis scintillation of an NPB array [σ2(0,L)] as a function of propagation distance. Here, d=10cm and the rest of the parameters are the same as in Fig. 4.

Equations (6)

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Ex(x,y,z=0)=A0x2πw0x2exp(x2+y2w0x2),
Ey(x,y,z=0)=A0y2πw0y2(x+iy)exp(x2+y2w0y2).
σmin2={σxx2σyy2(σxy2)2σxx2+σyy22σxy2ifσxy2<min[σxx2,σyy2]min[σxx2,σyy2]otherwise,
A0yA0x=Ix(σxx2σxy2)Iy(σyy2σxy2)if  σxy2<min[σxx2,σyy2].
Emx(x,y)=A0x2πw0x2exp[i(kmxx+kmyy)]×exp[(xdmx)2+(ydmy)2w0x2],
Emy(x,y)=A0y2πw0y2[(xdmx)+i(ydmy)]×exp[(xdmx)2+(ydmy)2w0y2]×exp[i(kmxx+kmyy)],

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