ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2015, Vol. 12, No. 1, pp. 102-109

Comparison of sea surface slope statistical moments obtained by means of optical scanners and laser inclinometers

V.V. Pustovoytenko1 , N.E. Lebedev1 
1 Marine Hydrophysical Institute, Sevastopol, Russia
A comparative analysis is presented of statistical moments of the wind-driven sea surface slopes obtained by complementary ways: using aerospace optical scanners or photographic equipment and measurements in situ by two-dimensional laser inclinometer from a fixed platform or slow-moving vessel. The first method is based on the reflection of sunlight by the sea surface; the second - on the refraction across the water-air boundary and on indication of reflected glints. The dependencies of the slope dispersions on wind speed obtained by the different ways are qualitatively the same. Quantitatively, the regression coefficients for the dependencies of slope dispersions on wind obtained by satellite optical scanners and aerial photographs of the sun glint zone coincide up to 4%. Estimations of slope dispersions obtained by laser inclinometer are less than those obtained by means of aerospace optical measurements by 20 - 35% for wind speeds exceeding 5 m/s. At lower wind speeds this discrepancy increases.
Keywords: sea surface slopes, statistical moments, optical scanners, laser inclinometers
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  1. Davidan I.N., Trapeznikov Yu.L., Problemy issledovaniya vysokochastotnoi oblasti spektra vetrovykh voln (Problems of high-frequency part of the wind-generated waves spectrum research), Gidrometeorologiya. Ser. Okeanologiya, No. 1. Obninsk, 1981, 46 p.
  2. Zapevalov A.S. Izmenchivost' kharakteristik lokal'nykh uklonov morskoi poverkhnosti (Variability of the sea surface local slopes characteristics), Prikladnaya gidromekhanika, 2005, Vol. 7(79), No. 1, pp. 17–21.
  3. Zapevalov A.S., Lebedev N.E. Modelirovanie statisticheskikh kharakteristik poverkhnosti okeana pri distantsionnom zondirovanii v opticheskom diapazone (Simulation of the sea surface statistical characteristics at the remote sensing in the optical range), Optika atmosfery i okeana, 2014, Vol. 27, No. 1, pp. 28–33.
  4. Zapevalov A.S., Ratner Yu.B. Effekty kvazigaussovogo kharaktera raspredeleniya uklonov morskoi poverkhnosti pri lazernom zondirovanii (The effects of the quasi Gaussian distribution of sea surface slopes under laser sensing), Optika atmosfery i okeana, 2002, Vol. 15, No. 10, pp. 958–928.
  5. Khristoforov G.N., Zapevalov A.S., Babii M.V. Statisticheskie kharakteristiki uklonov morskoi poverkhnosti pri raznykh skorostyakh vetra (Statistical characteristics of the sea surface slopes at different wind speeds), Okeanologiya, 1992, Vol. 32, Issue 3, pp. 452–459.
  6. Bréon F.M., Henriot N. Spaceborne observations of ocean glint reflectance and modeling of wave slope distributions, J. Geophys. Res., 2006, Vol. 111, No. C6, pp.C06005.
  7. Cox C., Munk W. Measurements of the roughness of the sea surface from photographs of the sun glitter, J. Optical. Soc. America, 1954, Vol. 44, No. 11, pp. 838–850.
  8. Ebuchi N., Kizu S. Probability distribution of surface wave slope derived using Sun glitter images from geostationary meteorological satellite and surface vector winds from scatterometers, J. Oceanogr., 2002, Vol. 58, pp. 477–486.
  9. Hughes B.A., Grant H.L, Chappell R.W.A. A fast response surface–wave slope meter and measured wind–wave components, Deep–Sea Res., 1977, Vol. 24, No. 12, pp. 1211–1223.
  10. Kay S., Hedley J., Lavender S. Sun glint estimation in marine satellite images: a comparison of results from calculation and radiative transfer modeling, Applied Optics, 2013, Vol. 52, No. 23, pp. 5631–5639.
  11. Liu Y., Yan X.–H., Liu W.T., Hwang P.A. The probability density function of ocean surface slopes and its effects on radar backscatter, J. of Physical. Oceanogr., 1997, Vol. 27, pp. 782–797.
  12. Lubard S.C., Krimmel J. E., Thebaud L. R., Evans D.D., Shemdin O.H. Optical image and laser slope meter intercomparisons of high-frequency waves, J. Geophys. Res., 1980, Vol. 85, No. C9, pp. 4996–5002.
  13. Tatarskii V.I. Multi–Gaussian representation of the Cox–Munk distribution for slopes of wind–driven waves, J. of Atmospheric and Oceanic Technology, 2003, Vol. 20, pp. 1697–1705.
  14. Zapevalov A.S., Pustovoitenko V.V. Modeling of the probability distribution function of sea surface slopes in problems of radio wave scattering, Radiophysics and Quantum Electronics, 2010, Vol. 53, No. 2, pp. 100–110.