Andrew M. Weiner, Editor-in-Chief
Bindang Xue, Linyan Cui, Wenfang Xue, Xiangzhi Bai, and Fugen Zhou
Bindang Xue,1,* Linyan Cui,1 Wenfang Xue,2 Xiangzhi Bai,1 and Fugen Zhou1
1School of Astronautics, Beihang University, Beijing, 100191, China
2Institute of Automation, Chinese Academy of Sciences, Beijing, 100190, China
*Corresponding author: firstname.lastname@example.org
Based on the generalized exponential spectrum for non-Kolmogorov atmospheric turbulence, theoretical expressions of the angle-of-arrival (AOA) variance are derived for plane and spherical optical waves propagating through weak turbulence. Without particular assumption, the new expressions relate the AOA variance to the receiver aperture, finite turbulence inner and outer scales, and the optical wavelength.
© 2011 OSA
Linyan Cui, Bindang Xue, and Fugen Zhou
J. Opt. Soc. Am. A 30(11) 2188-2195 (2013)
Linyan Cui, Bindang Xue, Xiaoguang Cao, and Fugen Zhou
J. Opt. Soc. Am. A 31(4) 829-835 (2014)
Opt. Express 23(5) 6313-6325 (2015)
Linyan Cui and Bindang Xue
J. Opt. Soc. Am. A 32(9) 1691-1699 (2015)
Linyan Cui, Bindang Xue, and Fugen Zhou
Opt. Express 23(23) 30088-30103 (2015)
W. Du, L. Tan, J. Ma, and Y. Jiang, “Temporal-frequency spectra for optical wave propagating through non-Kolmogorov turbulence,” Opt. Express 18(6), 5763–5775 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-6-5763 .
L. Y. Cui, B. D. Xue, X. G. Cao, J. K. Dong, and J. N. Wang, “Generalized atmospheric turbulence MTF for wave propagating through non-Kolmogorov turbulence,” Opt. Express 18(20), 21269–21283 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-20-21269 .
W. Du, S. Yu, L. Tan, J. Ma, Y. Jiang, and W. Xie, “Angle-of-arrival fluctuations for wave propagation through non-Kolmolgorov turbulence,” Opt. Commun. 282(5), 705–708 (2009).
L. Tan, W. Du, and J. Ma, “Effect of the outer scale on the angle of arrival variance for free-space-laser beam corrugated by non-Kolmogorov turbulence,” J. Russ. Laser Res. 30(6), 552–559 (2009).
A. Zilberman, E. Golbraikh, N. S. Kopeika, A. Virtser, I. Kupershmidt, and Y. Shtemler, “Lidar study of aerosol turbulence characteristics in the troposphere: Kolmogorov and non-Kolmogorov trubulence,” Atmos. Res. 88(1), 66–77 (2008).
I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, “Angle of arrival fluctuations for free space laser beam propagation through non Kolmogorov turbulence,” Proc. SPIE 6551, 65510E, 65510E-12 (2007).
Y. Cheon and A. Muschinski, “Closed-form approximations for the angle-of-arrival variance of plane and spherical waves propagating through homogeneous and isotropic turbulence,” J. Opt. Soc. Am. A 24(2), 415–422 (2007).
H. T. Eyyuboğlu and Y. Baykal, “Angle-of-arrival fluctuations for general-type beams,” Opt. Eng. 46(9), 096001 (2007).
M. S. Belen’kii, E. Cuellar, K. A. Hughes, and V. A. Rye, “Experimental study of spatial structure of turbulence at Maui Space Surveillance Site (MSSS),” Proc. SPIE 6304, 63040U, 63040U-12 (2006).
H. T. Eyyuboglu and Y. Baykal, “Analysis of laser multimode content on the angle-of-arrival fluctuations in free-space optics access systems,” Opt. Eng. 44(5), 056002 (2005).
M. J. Vilcheck, A. E. Reed, and H. R. Burris, “Multiple methods for measuring atmospheric turbulence,” Proc. SPIE 4821, 300–309 (2002).
R. Conan, J. Borgnino, A. Ziad, and F. Martin, “Analytical solution for the covariance and for the decorrelation time of the angle of arrival of a wave front corrugated by atmospheric turbulence,” J. Opt. Soc. Am. A 17(10), 1807–1818 (2000).
E. Masciadri, J. Vernin, and P. Bougeault, “3D mapping of optical turbulence using an atmospheric numerical model. I. A useful tool for the ground-based astronomy,” Astron. Astrophys. Suppl. Ser. 137(1), 185–202 (1999).
M. S. Belen’kii, S. J. Karis, J. M. Brown, and R. Q. Fugate, “Experimental study of the effect of non-Kolmogorov stratospheric turbulence on star image motion,” Proc. SPIE 3126, 113–123 (1997).
A. S. Gurvich and M. S. Belen’kii, “Influence of stratospheric turbulence on infrared imaging,” J. Opt. Soc. Am. A 12(11), 2517–2522 (1995).
M. S. Belen’kii, “Effect of the stratosphere on star image motion,” Opt. Lett. 20(12), 1359–1361 (1995).
D. T. Kyrazis, J. B. Wissler, D. B. Keating, A. J. Preble, and K. P. Bishop, “Measurement of optical turbulence in the upper troposphere and lower stratosphere,” Proc. SPIE 2120, 43–55 (1994).
D. H. Tofsted, “Outer-scale effects on beam-wander and angle-of-arrival variances,” Appl. Opt. 31(27), 5865–5870 (1992).
R. J. Hill, “Review of optical scintillation methods of measuring the refractive-index spectrum, inner scale and surface fluxes,” Waves in Random and Complex Media 2, 179–201 (1992). http://dx.doi.org/10.1088/0959-7174/2/3/001 .
V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation (trans. for NOAA by Israel Program for Scientific Translations, Jerusalem, 1971).
A. D. Wheelon, Electromagnetic Scintillation. I. Geometrical Optics (Cambridge U. Press, 2001).
L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE Optical Engineering Press, Bellingham, 2005).
L. C. Andrews, Special Functions of Mathematics for Engineers, 2nd ed. (SPIE Optical Engineering Press, Bellingham, Wash., 1998).
C. Ho, and A. Wheelon, “Power Spectrum of Atmospheric Scintillation for the Deep Space Network Goldstone Ka-band Downlink,” Jet Propulsion Laboratory, California (2004). http://ipnpr.jpl.nasa.gov/progress_report/42-158/158F.pdf
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as a function of α.
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Variance of AOA fluctuations as a function of α with different wavelength values. (a): plane wave. (b): spherical wave.
Variance of AOA fluctuations as a function of α with different inner scale values.(a): plane wave. (b): spherical wave.
Variance of AOA fluctuations as a function of α with different outer scale values. (a): plane wave. (b): spherical wave.
Variance of AOA fluctuations as a function of α with different Dvalues. (a): plane wave. (b): spherical wave.
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