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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: 3198–3206

Inferring path average C n 2 values in the marine environment

Frida Strömqvist Vetelino, Katelyn Grayshan, and Cynthia Y. Young  »View Author Affiliations

JOSA A, Vol. 24, Issue 10, pp. 3198-3206 (2007)

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Current mathematical scintillation theory describing laser propagation through the atmosphere has been developed for terrestrial environments. Scintillation expressions valid in all regimes of optical turbulence for propagation in the maritime environment, based on what we believe to be a newly developed marine atmospheric spectrum, have been developed for spherical waves. Path average values of the structure parameter, C n 2 , were inferred from optical scintillation measurements of a diverged laser beam propagating in a marine environment, using scintillation expressions based on both terrestrial and marine refractive index spectra. In the moderate-to-strong fluctuation regime, the inferred marine C n 2 values were about 20% smaller than inferred terrestrial C n 2 values, but a minimal difference was observed in the weak fluctuation regime. Measurements of angle-of-arrival fluctuations were used to infer C n 2 values in the moderate-to-strong fluctuation regime, resulting in values of the structure parameter that were at least an order of magnitude larger than the two scintillation-inferred C n 2 values.

© 2007 Optical Society of America

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(290.5930) Scattering : Scintillation

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: May 9, 2007
Manuscript Accepted: June 22, 2007
Published: September 18, 2007

Frida Strömqvist Vetelino, Katelyn Grayshan, and Cynthia Y. Young, "Inferring path average C2n values in the marine environment," J. Opt. Soc. Am. A 24, 3198-3206 (2007)

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  1. K. R. Weiss-Wrana, "Turbulence statistics in littoral area," Proc. SPIE 6364, 63640F (2006). [CrossRef]
  2. C. W. Fairall, K. L. Davidson, and G. E. Schacher, "Meteorological models for optical properties in the marine atmospheric boundary layer," Opt. Eng. (Bellingham) 21, 847-857 (1982).
  3. O. Steinvall, G. Bolander, L. Sjoqvist, M. Petersson, O. Gustavsson, F. Berglund, L. Allard, K. Karlsson, T. Larsson, and F. Gustavsson, "Single- and double-path 10.6 μm laser link measurements over sea water," Opt. Eng. (Bellingham) 46, 036001 (2007). [CrossRef]
  4. P. Frederickson, K. Davidson, C. Zeisse, and I. Bendall, "A comparison of near-surface bulk and scintillation Cn2 measurements during EOPACE," Proc. SPIE 3433, 77-88 (1998). [CrossRef]
  5. P. Frederickson, K. Davidson, C. Zeisse, and C. Bendall, "Near-surface scintillation in a coastal ocean region," Proc. SPIE 3763, 230-238 (1999). [CrossRef]
  6. M. F. Stell, C. I. Moore, H. R. Burris, M. R. Suite, M. J. Vilcheck, M. A. Davis, R. Mahon, E. Oh, W. S. Rabinovich, G. C. Gilbreath, W. J. Scharpf, and A. E. Reed, "Passive optical monitor for atmospheric turbulence and windspeed," Proc. SPIE 5160, 422-431 (2004). [CrossRef]
  7. C. I. Moore, H. R. Burris, M. F. Stell, L. Wasiczko, M. R. Suite, R. Mahon, W. S. Rabinovich, G. C. Gilbreath, and W. J. Scharpf, "Atmospheric turbulence studies of a 16 km maritime path," Proc. SPIE 5793, 78-88 (2005). [CrossRef]
  8. L. M. Wasiczko, C. I. Moore, H. R. Burris, M. Suite, M. Stell, J. Murphy, G. C. Gilbreath, W. Rabinovich, and W. Scharp, "Characterization of the marine atmosphere for free-space optical communication," Proc. SPIE 6215, 621501 (2006). [CrossRef]
  9. C. A. Friehe, J. C. La Rue, F. H. Champagne, C. H. Gibson, and G. F. Dreyer, "Effects of temperature and humidity fluctuations on the optical refractive index in the marine boundary layer," J. Opt. Soc. Am. 65, 1502-1511 (1975). [CrossRef]
  10. R. J. Hill, "Spectra of fluctuations in refractivity, temperature, humidity, and the temperature-humidity cospectrum in the inertial and dissipation ranges," Radio Sci. 13, 953-961 (1978). [CrossRef]
  11. L. C. Andrews, "An analytical model for the refractive index power spectrum and its application to optical scintillations in the atmosphere," J. Mod. Opt. 39, 1849-1853 (1992). [CrossRef]
  12. K. Grayshan, F. Strömqvist Vetelino, and C. Y. Young, "A marine atmospheric spectrum for laser propagation," Waves Random Complex Media (to be published).
  13. L. C. Andrews, R. L. Phillips, C. Y. Hopen, and M. A. Al-Habash, "Theory of optical scintillation," J. Opt. Soc. Am. A 16, 1417-1429 (1999). [CrossRef]
  14. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, "Aperture averaging of optical scintillations: power fluctuations and the temporal spectrum," Waves Random Media 10, 53-70 (2000). [CrossRef]
  15. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE Optical Engineering Press, 2001). [CrossRef]
  16. F. S. Vetelino, B. Clare, K. Corbett, C. Young, K. Grant, and L. Andrews, "Characterizing the propagation path in moderate to strong optical turbulence," Appl. Opt. 45, 3534-3543 (2006). [CrossRef] [PubMed]
  17. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannerg, Numerical Recipes in C: The Art of Scientific Computing (1988-1992), Chap. 10.4. http://www.library.cornell.edu/nr/bookcpdf/c10-4.pdf.
  18. Downhill Simplex Method, code for MATLAB: http://freehost26.websamba.com/zhanshan2002/matlab/simplex.html
  19. L. C. Andrews, R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE Optical Engineering Press, 1998).
  20. O. Steinvall, L. Sjöqvist, F. Kullander, F. Berglund, T. Larsson, and K. Karlsson,"Multi-wavelength laser system propagation experiments," Proc. SPIE 6397, 63970A (2006). [CrossRef]

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