Abstract

We investigate the scintillation properties of Airy beam arrays in atmospheric turbulence. By utilizing the “self-bending” propagation property of Airy beams, the constituent beamlets propagate through relatively independent regions of turbulence but still largely overlap at the on-axis detector. Through numeric simulations, it is shown that the scintillation of an Airy beam array is significantly reduced and close to the theoretical minimum.

© 2010 Optical Society of America

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References

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2009 (1)

2008 (2)

2007 (4)

P. Polynkin, A. Peleg, L. Klein, T. Rhoadarmer, and J. V. Moloney, Opt. Lett. 32, 885 (2007).
[CrossRef] [PubMed]

A. Peleg and J. V. Moloney, IEEE Photon. Technol. Lett. 19, 883 (2007).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

2006 (1)

2005 (2)

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).
[CrossRef]

T. J. Schulz, Opt. Lett. 30, 1093 (2005).
[CrossRef] [PubMed]

2004 (1)

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

2002 (2)

2001 (1)

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

1988 (1)

1983 (2)

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

Y. Baykal, M. A. Plonus, and S. J. Wang, Radio Sci. 18, 551(1983).
[CrossRef]

1979 (2)

J. C. Leader, J. Opt. Soc. Am. 69, 73 (1979).
[CrossRef]

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Andrews, L. C.

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).
[CrossRef]

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).
[CrossRef]

Balazs, N. L.

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Banakh, V. A.

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

Baumgartl, J.

Baykal, Y.

Y. Baykal, M. A. Plonus, and S. J. Wang, Radio Sci. 18, 551(1983).
[CrossRef]

Berry, M. V.

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Broky, J.

Buldakov, V. M.

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

Christodoulides, D. N.

Cižmár, T.

Davidson, F. M.

Dholakia, K.

Dogariu, A.

Flatté, S. M.

Gbur, G.

Hopen, C. Y.

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

Klein, L.

Korotkova, O.

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

Leader, J. C.

Martin, J. M.

Mazilu, M.

Mironov, V. L.

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

Moloney, J. V.

Morris, J. E.

Peleg, A.

Phillips, R. L.

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).
[CrossRef]

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).
[CrossRef]

Plonus, M. A.

Y. Baykal, M. A. Plonus, and S. J. Wang, Radio Sci. 18, 551(1983).
[CrossRef]

Polynkin, P.

Rhoadarmer, T.

Ricklin, J. C.

Schulz, T. J.

Siviloglou, G. A.

Wang, S. J.

Y. Baykal, M. A. Plonus, and S. J. Wang, Radio Sci. 18, 551(1983).
[CrossRef]

Wolf, E.

Am. J. Phys. (1)

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Appl. Opt. (1)

IEEE Photon. Technol. Lett. (1)

A. Peleg and J. V. Moloney, IEEE Photon. Technol. Lett. 19, 883 (2007).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (3)

Opt. Eng. (1)

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

Opt. Express (2)

Opt. Lett. (4)

Opt. Spectrosk. (1)

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

Phys. Rev. Lett. (1)

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Radio Sci. (1)

Y. Baykal, M. A. Plonus, and S. J. Wang, Radio Sci. 18, 551(1983).
[CrossRef]

Other (2)

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).
[CrossRef]

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

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Figures (3)

Fig. 1
Fig. 1

Illustration of the intensity patterns of an Airy beam in the (a) transmitter plane and (b) receiver plane. The wavelength is λ = 1.55 μm , the turbulence strength is C n 2 = 10 14 m 2 / 3 , and the propagation distance is L = 3 km .

Fig. 2
Fig. 2

Illustration of the average propagation dynamics of an Airy beam as a function of distance on propagation in turbulence. The transverse axis is the 45 ° axis in the x y plane. The parameters are the same as in Fig. 1.

Fig. 3
Fig. 3

Illustration of the intensity patterns of a four-beamlet Airy beam array in the (a) transmitter plane and (b) receiver plane. The transverse displacement parameter d is taken to be 0.066 m . The rest of the parameters are the same as in Fig. 1.

Tables (1)

Tables Icon

Table 1 On-Axis Self- and Cross-Scintillation Indices of the Four Constituent Beamlets of an Airy Beam Array at the Receiver Plane L = 3 km a

Equations (5)

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

U ( x , y ) = Ai ( x x 0 ) exp ( a x x 0 ) Ai ( y y 0 ) exp ( a y y 0 ) ,
U m ( s x m , s y m ) = Ai ( s x m ) exp ( a s x m ) Ai ( s y m ) exp ( a s y m ) ,
{ s x m = [ 2 cos ( 3 + 2 m 4 π ) x + d ] / x 0 , s y m = [ 2 sin ( 3 + 2 m 4 π ) y + d ] / y 0 ,
σ 2 ( x , y , L ) = I 2 ( x , y , L ) I ( x , y , L ) 2 1 ,
σ m n 2 ( x , y , L ) = I m ( x , y , L ) I n ( x , y , L ) I m ( x , y , L ) I n ( x , y , L ) 1.

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