Abstract

The temporal spectrum of beam wander is formulated by considering a Gaussian Schell-model beam passing through atmospheric turbulence with a finite outer scale. Two simpler asymptotic formulas for the temporal spectrum of beam wander within the high- and low-frequency ranges are derived, respectively. Based on the formulations, the effects of the initial partial coherence of the beam, finite outer scale of turbulence, initial beam radius, and initial phase front radius of curvature on the temporal spectrum of beam wander are analyzed by numerical examples.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. C. Andrews and R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE, 2005).
  2. L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, Opt. Eng. 45, 076001 (2006).
    [CrossRef]
  3. J. Recolons, L. C. Andrews, and R. L. Phillips, Opt. Eng. 46, 086002 (2007).
    [CrossRef]
  4. H. T. Eyyuboğlu and C. Z. Çil, Appl. Phys. B 93, 595 (2008).
    [CrossRef]
  5. C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, Appl. Phys. B 95, 763 (2009).
    [CrossRef]
  6. V. P. Aksenov and C. E. Pogutsa, Appl. Opt. 51, 7262 (2012).
    [CrossRef]
  7. G. P. Berman, A. A. Chumak, and V. N. Gorshkov, Phys. Rev. E 76, 056606 (2007).
    [CrossRef]
  8. X. Xiao and D. G. Voelz, Opt. Eng. 51, 026001 (2012).
    [CrossRef]
  9. S. Yu, Z. Chen, T. Wang, G. Wu, H. Guo, and W. Gu, Appl. Opt. 51, 7581 (2012).
    [CrossRef]
  10. A. Rodriguez-Gomez, F. Dios, J. A. Rubio, and A. Comeron, Appl. Opt. 44, 4574 (2005).
    [CrossRef]
  11. H. T. Yura and R. A. Fields, Appl. Opt. 50, 2875 (2011).
    [CrossRef]
  12. O. Korotkova, L. C. Andrews, and R. L. Phillips, Opt. Eng. 43, 330 (2004).
    [CrossRef]
  13. R. J. Sasiela, Electromagnetic Wave Propagation in Turbulence: Evaluation and Application of Mellin Transforms (SPIE, 2007).
  14. G. A. Tyler, J. Opt. Soc. Am. A 11, 358 (1994).
    [CrossRef]
  15. R. Baribeau and M. Rioux, Appl. Opt. 30, 3752 (1991).
    [CrossRef]

2012 (3)

2011 (1)

2009 (1)

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, Appl. Phys. B 95, 763 (2009).
[CrossRef]

2008 (1)

H. T. Eyyuboğlu and C. Z. Çil, Appl. Phys. B 93, 595 (2008).
[CrossRef]

2007 (2)

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, Phys. Rev. E 76, 056606 (2007).
[CrossRef]

J. Recolons, L. C. Andrews, and R. L. Phillips, Opt. Eng. 46, 086002 (2007).
[CrossRef]

2006 (1)

L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, Opt. Eng. 45, 076001 (2006).
[CrossRef]

2005 (1)

2004 (1)

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

1994 (1)

1991 (1)

Aksenov, V. P.

Andrews, L. C.

J. Recolons, L. C. Andrews, and R. L. Phillips, Opt. Eng. 46, 086002 (2007).
[CrossRef]

L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, Opt. Eng. 45, 076001 (2006).
[CrossRef]

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

L. C. Andrews and R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE, 2005).

Baribeau, R.

Baykal, Y.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, Appl. Phys. B 95, 763 (2009).
[CrossRef]

Berman, G. P.

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, Phys. Rev. E 76, 056606 (2007).
[CrossRef]

Cai, Y.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, Appl. Phys. B 95, 763 (2009).
[CrossRef]

Chen, Z.

Chumak, A. A.

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, Phys. Rev. E 76, 056606 (2007).
[CrossRef]

Çil, C. Z.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, Appl. Phys. B 95, 763 (2009).
[CrossRef]

H. T. Eyyuboğlu and C. Z. Çil, Appl. Phys. B 93, 595 (2008).
[CrossRef]

Comeron, A.

Dios, F.

Eyyuboglu, H. T.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, Appl. Phys. B 95, 763 (2009).
[CrossRef]

H. T. Eyyuboğlu and C. Z. Çil, Appl. Phys. B 93, 595 (2008).
[CrossRef]

Fields, R. A.

Gorshkov, V. N.

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, Phys. Rev. E 76, 056606 (2007).
[CrossRef]

Gu, W.

Guo, H.

Korotkova, O.

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

Parenti, R. R.

L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, Opt. Eng. 45, 076001 (2006).
[CrossRef]

Phillips, R. L.

J. Recolons, L. C. Andrews, and R. L. Phillips, Opt. Eng. 46, 086002 (2007).
[CrossRef]

L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, Opt. Eng. 45, 076001 (2006).
[CrossRef]

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

L. C. Andrews and R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE, 2005).

Pogutsa, C. E.

Recolons, J.

J. Recolons, L. C. Andrews, and R. L. Phillips, Opt. Eng. 46, 086002 (2007).
[CrossRef]

Rioux, M.

Rodriguez-Gomez, A.

Rubio, J. A.

Sasiela, R. J.

L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, Opt. Eng. 45, 076001 (2006).
[CrossRef]

R. J. Sasiela, Electromagnetic Wave Propagation in Turbulence: Evaluation and Application of Mellin Transforms (SPIE, 2007).

Tyler, G. A.

Voelz, D. G.

X. Xiao and D. G. Voelz, Opt. Eng. 51, 026001 (2012).
[CrossRef]

Wang, T.

Wu, G.

Xiao, X.

X. Xiao and D. G. Voelz, Opt. Eng. 51, 026001 (2012).
[CrossRef]

Yu, S.

Yura, H. T.

Appl. Opt. (5)

Appl. Phys. B (2)

H. T. Eyyuboğlu and C. Z. Çil, Appl. Phys. B 93, 595 (2008).
[CrossRef]

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, Appl. Phys. B 95, 763 (2009).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Eng. (4)

X. Xiao and D. G. Voelz, Opt. Eng. 51, 026001 (2012).
[CrossRef]

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

L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, Opt. Eng. 45, 076001 (2006).
[CrossRef]

J. Recolons, L. C. Andrews, and R. L. Phillips, Opt. Eng. 46, 086002 (2007).
[CrossRef]

Phys. Rev. E (1)

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, Phys. Rev. E 76, 056606 (2007).
[CrossRef]

Other (2)

R. J. Sasiela, Electromagnetic Wave Propagation in Turbulence: Evaluation and Application of Mellin Transforms (SPIE, 2007).

L. C. Andrews and R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE, 2005).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1.
Fig. 1.

Scaled temporal spectra of beam wander for collimated beams with various δ and L0, where λ=800nm, F0=, L=1km, Cn2=1015m2/3, C0=2π, v=5m/s, and W0=1cm.

Fig. 2.
Fig. 2.

Scaled temporal spectra of beam wander for beams with various W0, δ, and F0, where λ=800nm, L=1km, Cn2=1015m2/3, L0=10m, C0=2π, and v=5m/s.

Equations (8)

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

rc2=WFS2(L)TLS,
TLS=2πkΛL0Ldz(1z/L)2dKκ2Φn(κ)HLS(κ,z),
rc2=1π0Sc(ω)dω
Sc(ω)=C101dξ(1ξ)20dζζ3U(ζ1)ζ21×Φn(ωζv)exp[ω2ζ2WLT2(ξL)v2]
Sc(ω)=C201dξ(1ξ)2[R(a1)R(a2)]
R(x)=0dtU(t1)t2/3(t21)1/2exp(xt2)=π/12Γ(1/6)[Γ(2/3)]1·F11(1/6;2/3;x)1.5Γ(2/3)x1/3·F11(1/2;4/3;x),
Sc(ω)C301dξ(1ξ)2Q1(ξ,ω)[Q2(ξ)Q3(ξ,ω)],
Sc(ω)C4(C5+C6ω4/3C7ω2)

Metrics