Vol. 30, issue 09, article # 7

Zapevalov A.S. Determination of the statistical moments of the sea surface slopes by optical scanners. // Optika Atmosfery i Okeana. 2017. V. 30. No. 09. P. 789–793 [in Russian].
Copy the reference to clipboard
Abstract:

The possibilities and limitations of determining the skewness and kurtosis of sea surface slopes by spaceborne optical scanners are analysed. It is shown that these data do not allow precise retrieval of the values of skewness and kurtosis. The empirical probability density of slopes, determined according to the optical scanner data, is defined in a limited range of slopes. The Cox–Munk model used in the calculations is also defined in a limited area.

Keywords:

sea surface slopes, skewness, kurtosis, optical scanners, sunlight

References:

  1. 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. V. 58. P. 477–486.
  2. Bréon F.M., Henriot N. Spaceborne observations of ocean glint reflectance and modeling of wave slope distributions // J. Geophys. Res. 2006. V. 111, N 6. P. C06005.
  3. Zapevalov A.S., Lebedev N.E. Modelirovanie statisticheskih harakteristik poverhnosti okeana pri distancionnom zondirovanii v opticheskom diapazone // Optika atmosf. i okeana. 2014. V. 27, N 1. P. 28–33; Zapevalov A.S., Lebedev N.E. Simulation of statistical characteristies of sea surface during remote optical sensing // Atmos. Ocean. Opt. 2014. V. 27, N 6. P. 487–493.
  4. Viollier M., Tanré D., Deschamps P.-Y. An algorithm for remote sensing of water color from space // Bound.- Lay. Meteorol. 1980. V. 18. P. 247–267.
  5. Lebedev N.E. Opredelenie skorosti privodnogo vetra i stepeni zagrjaznennosti morskoj poverhnosti po izlucheniju, registriruemomu sputnikovymi opticheskimi skanerami v zone solnechnogo blika // Jekologicheskaja bezopasnost' pribrezhnoj i shel'fovoj zon i kompleksnoe ispol'zovanie resursov shel'fa. Sevastopol': MGI NANU, 2013. Issue 27. P. 49–54.
  6. Kaufman Y.J., Smirnov A., Holben B.N., Dubovik O. Baseline maritime aerosol: Methodology to derive the optical thickness and scattering properties // Geophys. Res. Lett. 2001. V. 28. P. 3251–3254.
  7. Zhang H., Wang M. Evaluation of sun glint models using MODIS measurements // J. Quant. Spectrosc. Radiat. Transfer. 2010. V. 111, N 3. P. 492–506.
  8. Gladkih V.A., Mamyshev V.P., Odincov S.L. Jeksperimental'nye ocenki strukturnoj harakteristiki pokazatelja prelomlenija opticheskih voln v prizemnom sloe atmosfery // Optika atmosf. i okeana. 2015. V. 28, N 4. P. 309–318; Gladkikh V.A., Mamyshev V.P., Odintsov S.L. Experimental estimates of the structure parameter of the refractive index for optical waves in the surface air layer // Atmos. Ocean. Opt. 2015. V. 28, N 5. P. 426–435.
  9. Lebedev N.E., Pustovojtenko V.V., Pokazeev K.V., Mel'nikova O.N. Modelirovanie dvuluchevoj funkcii otrazhatel'noj sposobnosti morskoj poverhnosti // Sovremennye problemy distancionnogo zondirovanija Zemli iz kosmosa. 2014. V. 11, N 3. P. 310–320.
  10. Pustovojtenko V.V., Lebedev N.E. Sravnenie statisticheskih momentov uklonov morskoj poverhnosti, poluchennyh po dannym opticheskih skanerov i lazernyh uklonomerov // Sovremennye problemy distancionnogo zondirovanija Zemli iz kosmosa. 2015. V. 12, N 1. P. 102–109.
  11. Longuet-Higgins M.S. On the skewness of sea-surface slopes // J. Phys. Oceanogr. 1982. V. 12. P. 1283–1291.
  12. Zapevalov A.S. Verojatnost' blikov zerkal'nogo otrazhenija pri naklonnom zondirovanii morskoj poverhnosti // Okeanologija. 2005. V. 45, N 1. P. 16–20.
  13. Zapevalov A.S., Pokazeev K.V. Statistika uklonov morskoj poverhnosti i ee prilozhenie k zadacham lazernogo zondirovanija // Vestn. Mosk. un-ta. Issue 3: Fiz. Astron. 2004. N 5. P. 53–56.
  14. Kendall M.Dzh., St'juart A. Teorija raspredelenij / Per. s angl. M.: Nauka, 1966 . 587 p.
  15. Cox C., Munk W. Measurements of the roughness of the sea surface from photographs of the sun glitter // J. Opt. Soc. Am. 1954. V. 44, N 11. P. 838–850.
  16.  Zapevalov A.S., Pustovoitenko V.V. Modeling of the probability distribution function of sea surface slopes in problems of radio wave scattering // Radiophys. Quantum Electron. 2010. V. 53, N 2. P. 100–110.

Back