Vol. 33, issue 07, article # 11

Abstract:

The contradiction between the results of determining the phase velocities of sea waves from optical images of the sea surface and data of in situ measurements by an array of wave sensors is analyzed. The phase velocity estimates obtained from optical images well correspond to the theoretical values derived from the linear dispersion relation for gravitational waves. For in situ waveform measurements, the phase velocities exceed the theoretical values. It is shown that the excess is caused by the fact that when in situ measurements are made, the contribution to the phase spectrum is given by waves that come from different directions and have different projections of the phase velocity in the direction in which it is determined.

Keywords:

optical image, wave measurements, dispersion ratio, phase velocity

References:

1. Yurovskaya M.V., Kudryavtsev V.N., Stanichnyj S.V. Vosstanovlenie kinematicheskih harakteristik poverhnostnogo volneniya i batimetrii po mnogokanal'nym opticheskim snimkam kompleksa «Geoton-L1» na sputnike «Resurs-P» // Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa. 2019. V. 16, N 2. P. 218–226.
2. Kudryavtsev V., Yurovskaya M., Chapron B., Collard F., Donlon C. (2017a) Sun glitter imagery of ocean surface waves: Part 1. Directional spectrum retrieval and validation // J. Geophys. Res.: Oceans. 2017. V. 122, N 2. P. 1369–1383. DOI: 10.1002/2016JC012425.
3. Kudryavtsev V., Yurovskaya M., Chapron B., Collard F., Donlon C. (2017b) Sun glitter imagery of surface waves. Part 2: Waves transformation on ocean currents // J. Geophys. Res.: Oceans. 2017. V. 122, N 2. P. 1384–1399. DOI: 10.1002/2016JC012426.
4. Efimov V.V., Solov'ev Yu.P., Hristoforov G.N. Eksperimental'noe opredelenie fazovoj skorosti rasprostraneniya spektral'nyh sostavlyayushchih morskogo vetrovogo volneniya // Izv. AN SSSR. Fiz. atmosf. i okeana. 1972. V. 8, N 4. P. 435–446.
5. Dugan J.P., Piotrowski C.C., Williams J.Z. Water depth and surface current retrievals from airborne optical measurements of surface gravity wave dispersion // J. Geophys. Res. 2001. V. 106(C8). P. 16903–16915.
6. Dugan J.J., Piotrowski C.C. Surface currents measured from a sequence of airborne camera images // Proc. IEEE / OES Seventh Working Conf. on Current Meas. Technol. 2003. DOI: 10.1109/ccm.2003.1194284.
7. Bakhanov V.V., Demakova A.A., Korinenko A.E., Ryabkova M.S., Titov V.I. Estimation of the wind wave spectra with centimeters-to-meter lengths by the sea surface images // Phys. Oceanogr. 2018. V. 25, N 3. P. 177–190.
8. Zapevalov A.S., Lebedev N.E. Modelirovanie statisticheskih harakteristik poverhnosti okeana pri distantsionnom 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 characteristics of sea surface during remote optical sensing // Atmos. Ocean. Opt. 2014. V. 27, N 4. P. 487–492.
9. Zapevalov A.S. Opredelenie statisticheskih momentov uklonov morskoj poverhnosti opticheskimi skanerami // Optika atmosf. i okeana. 2017. V. 30, N 9. P. 789–793. DOI: 10.15372/AOO20170907; Zapevalov A.S. Determination of the statistical moments of sea-surface slopes by optical scanners // Atmos. Ocean. Opt. 2018. V. 31, N 1. P. 91–95. DOI: 10.1134/S1024856018010141.
10. Von Zweck O. Observations of propagation characteristics of a wind-driven sea. Ph.D. thesis, Mass. Inst. of Technol., Cambridge, Mass., 1970. 99 p.
11. Zapevalov A.S., Bol'shakov A.N., Smolov V.E. Issledovaniya urovnya kogerentnosti morskih poverhnostnyh voln // Izv. RAN. Fiz. atmosf. i okeana. 2004. V. 40, N 4. P. 545–549.
12. Ramamonjiarisoa A., Giovanangeli J.P. Observations de la propagation des vagues engendrees par le vent au large // C.R. Hehd Seances Acad. Sci. Ser. B. 1978. V. 287. P. 133–136.
13. Lake B.M., Yuen H.C. A new model for nonlinear wind waves // J. Fluid Mech. 1978. V. 88. P. 33–62.
14. Efimov V.V. Dinamika volnovyh protsessov v pogranichnyh sloyah atmosfery i okeana. Kiev: Naukova dumka, 1981. 255 p.
15. Filips O.M. Dinamika verhnego sloya okeana. L.: Gidrometeoizdat, 1980. 319 p. Phillips O.M. The dynamics of the upper ocean. Cambridge University Press, 1977. 336 pp.
16. Jenkins M.G., Watts D.G. Spectral analysis and its applications. San Francisco: Holden-Day, 1968. 554 p.
17. Dudis J.J. Interpretation of phase velocity measurements of wind-generated surface waves // J. Fluid Mech. 1981. V. 113. P. 241–249.
18. Pokazeev K.V., Zapevalov A.S. K raschetu fazovyh skorostej v pole morskih poverhnostnyh voln // Vestn. Mosk. un-ta. Ser. 3: Fizika. Astronomiya. 2019. N 4. P. 65–70.
19. Donelan M.A., Hamilton J., Hui W.H. Directional spectra of wind-generated waves // Philos. Trans. Roy. Soc. A. 1985. V. 315. P. 509–562.