Estimation of the Wind Wave Spectra with Centimeters-to-Meter Lengths by the Sea Surface Images

V. V. Bakhanov1, A. A. Demakova1, A. E. Korinenko2, M. S. Ryabkova1, V. I. Titov1, ✉

1 Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russian Federation

2 Marine Hydrophysical Institute, Russian Academy of Sciences, Sevastopol, Russian Federation

e-mail: titov@hydro.appl.sci-nnov.ru

Abstract

The method of investigating the sea wave spectra based on spectral processing of the sea surface images made at the diffused sky light is considered. The mechanisms of the sea surface image formation under the oblique viewing are discussed. It is shown that within the framework of a two-dimensional wave model and when the surface is illuminated by a clear sky, the sea surface image spectrum is proportional to that of the wave slopes’ spectrum. Described is the developed in the Institute of Applied Physics, RAS optical incoherent light spectrum analyzer permitting to record two-dimensional spectra of the sea surface images in the real time mode. The spectrum analyzer has a wide dynamic range (up to 40–50 dB). The time required to record one two-dimensional spectrum is 1 sec. When the spectrum analyzer is set up at an oceanography platform or a ship bow, the devise can record the wave spectra ranging from 1 meter to several centimeters depending on the height above the sea level and the viewing angle. The method for reconstructing the wave spectrum absolute values using the test object spectrum is represented. Preliminary results of the wave spectra measurements carried out by the optical method (under different wind speeds) from the stationary oceanographic platform in Katsiveli and from a moving vessel are given. The drawn conclusion testifies to conformity of the obtained wave spectra to the available empiric information on the spectra within the wind wave range under consideration. The obtained wave energy angular distributions and the spectra features observed in the slicks are discussed. To study the features of wave spectrum dynamics, developed is the method for imaging the current two-dimensional wave spectra with high resolution of spatial frequency and wave direction.

Time dependence of the wave angles’ current spectra is represented as the horizontal bands; each of them corresponds to a certain direction of the wave propagation. At that the vertical direction in each band corresponds to the spatial frequency of the wave varying from short to long waves. The brightness of the images is proportional to the slope spectrum in the conventional color scale.

Keywords

sea surface, optics, surface image, surface brightness, processing of images, remote sensing, spectral analysis, wave spectrum, wind waves

Original russian text

Original Russian Text © The Authors, 2018, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 34, Iss. 3, pp. 192–205 (2018)

For citation

Bakhanov, V.V., Demakova, A.A., Korinenko, A.E., Ryabkova, M.S. and Titov, V.I., 2018. Estimation of the Wind Wave Spectra with Centimeters-to-Meter Lengths by the Sea Surface Images. Physical Oceanography, 25(3), pp. 177-190. doi:10.22449/1573-160X-2018-3-177-190

DOI

10.22449/1573-160X-2018-3-177-190

References

  1. Elfouhaily, T., Chapron, B., Katsaros, A. and Vandemark, D., 1997. A Unified Directional Spectrum for Long and Short Wind-Driven Waves. Journal of Geophysical Research, [e-journal] 102(C7), pp. 15781-15796.doi:10.1029/97JC00467
  2. Karaev, V.Yu. andBalandina, G.N., 2000. Modifitsirovannyy Spektr Volneniya i Distantsionnoe Zondirovanie Okeana [A Modified Wave Spectrum and Remote Sensing of Ocean]. Issledovanie Zemli iz Kosmosa, (5), pp. 45-56 (in Russian).
  3. Karaev, V., Kanevsky, M. and Meshkov, E., 2008. The Effect of Sea Surface Slicks on the Doppler Spectrum Width of a Backscattered Microwave Signal. Sensors, [e-journal] 8(6), pp. 3780-3801.doi:10.3390/s8063780
  4. Ryabkova, M.S., Karaev, V.Yu.,Panfilova, M.S. and Titchenko, Yu.A., 2017. Spektry Poverkhnostnogo Volneniya dlya Zadach Distantsionnogo Zondirovaniya: Obzor Populyarnykh Modeley i Obsuzhdenie Novoy Modeli [Surface Wave Spectra for Remote Sensing: Review of Popular Models and Discussion of New Model]. In: SRI, 2017. XV Vserossiyskaya Otkrytaya Konferentsiya Sovremennye Problemy Distantsionnogo Zondirovaniya Zemli iz Kosmosa [15th Conf. Current Problems in Remote Sensing of the Earth from Space]. Book of Abstracts. Moscow: SRI, pp. 286 (in Russian).
  5. Ryabkova, M.S., Karaev, V.Yu.,Titchenko, Yu.A. and Meshkov, E.M., 2017. Experimental Study of the Microwave Radar Doppler Spectrum Backscattered from the Sea Surface at Low Incidence Angles. In: URSI GASS (The International Union of Radio Science General Assembly and Scientific Symposium), 2017. XXXIIth General Assembly and Scientific Symposium of the International Union of Radio Science, Montreal, QC, Canada, 19-26 Aug. 2017. IEEE, pp. 1-4. doi:10.23919/URSIGASS.2017.8105008
  6. Yurovskaya, M.V., Dulov, V.A., Chapron, B. and Kudryavtsev, V.N., 2013. Directional Short Wind Wave Spectra Derived from the Sea Surface Photography. Journal of Geophysical Research, [e-journal] 118(9), pp. 1-15. doi:10.1002/jgrc.20296
  7. Kosnik, M.V. and Dulov, V.A. Extraction of Short Wind Wave Spectra from Stereo Images of the Sea Surface. 2011. Measurement Science and Technology, [e-journal] 22(1), 015504. doi:10.1088/0957-0233/22/1/015504
  8. Titov, V.I., Bakhanov, V.V., Zuikova, E.M., Luchinin, A.G. and Troitzkaya, J.I., 2010. Issledovanie Dinamiki Dvumernykh Spektrov Morskogo Volneniya [Investigation of Dynamic of Two Dimensional Spectra of Sea Waves]. Sovremennye Problemy Distantsionnogo Zondirovaniya Zemli iz Kosmosa = Current Problems in Remote Sensing of the Earth from Space, 7(1), pp. 273–285 (in Russian).
  9. Titov, V.I., Zuiykova E.M. and Luchinin, A.G., 2010. Issledovanie Prostranstvenno-Vremennykh Spektrov Korotkomasshtabnogo Volneniya Opticheskim Metodom [Investigation of Space and Temporal Spectra of Small-Scale Water Surface Waves by Optical Methods]. In: MHI, 2010. Ekologicheskaya Bezopasnost' Pribrezhnoy i Shel'fovoy Zon i Kompleksnoe Ispol'zovanie Resursov Shel'fa [Ecological Safety of Coastal and Shelf Zones and Comprehensive Use of Shelf Resources]. Sevastopol: MHI NANU. Iss.21, pp. 197-206 (in Russian).
  10. Titov, V.I., Bakhanov, V., Ermakov, S., Kapustin, I., Luchinin, A., Sergievskaja, I. and Zuikova, E., 2012. Development of Optical Remote Sensing Technique for Monitoring of Water Basins. In: SPIE, 2012. Remote Sensing of the Ocean, Sea Ice, Coastal Waters, and Large Water Regions. Bellingham, Washington, 19 October 2012. Bellingham: SPIE. Vol. 8532. doi:10.1117/12.974421
  11. Titov, V., Bakhanov, V., Ermakov, S., Luchinin, A., Repina, I. and Sergievskaya, I., 2014. Remote Sensing Technique for Near-Surface Wind by Optical Images of Rough Water Surface. International Journal of Remote Sensing, 35(15), pp. 5946-5957. doi: 10.1080/01431161.2014.948223
  12. Titov, V.I., Artamonov, A.Yu.,Bakhanov, V.V., Ermakov, S.A., Luchinin, A.G., Repina, I.A. and Sergievskaja, I.A., 2014. Monitoring Sostoyaniya Poverkhnosti Morya po Prostranstvenno-Vremennym Opticheskim Izobrazheniyam [Monitoring of Sea Surface with Optical Technique]. Issledovanie Zemli iz Kosmosa, (5), pp. 3-14 (in Russian).
  13. Chapman, R.D. and Irani, G.B., 1981. Errors in Estimating Slope Spectra from Wave Images. Applied Optics, [e-journal] 20(20), pp. 3645-3652. doi:10.1364/AO.20.003645
  14. Bakhanov, V.V., Zuikova, E.M., Kemarskaya, O.N. and Titov, V.I. 2006. Determining the Sea-Roughness Spectra from an Optical Image of the Sea Surface. Radiophysics and Quantum Electronics, [e-journal] 49(1), pp. 47-57. https://doi.org/10.1007/s11141-006-0036-y
  15. Zuikova, E.M., Titov, V.I. andTroitskaya, Yu.I., 2010. Ustroystvo Opticheskoy Spektral'noy Obrabotki Izobrazheniya Sherokhovatoy Poverkhnosti [Rough Surface Image Optical Spectral Processing Device]. Patent 2400705 Russian Federation, No. 2009103024. http://www.freepatent.ru/images/patents/62/2400705/patent-2400705.pdf (in Russian).
  16. O'Neill, E.L., 1963. Introduction to Statistical Optics. New York: Addison-Wesley Publishing Co., Inc., 186 p.
  17. Brunger, A.P. and Hooper, F.C., 1993. Anisotropic Sky Radiance Model Based on Narrow Field of View Measurements of Shortwave Radiance. Solar Energy, [e-journal]51(1), pp. 53-64.doi:10.1016/0038-092X(93)90042-M
  18. Phillips, O.M., 1977. The Dynamics of the Upper Ocean. Cambridge: University of Cambridge Press., 320 p.

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