Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-06T01:17:26.846Z Has data issue: false hasContentIssue false

Doppler measurements of the effects of gravity waves on wind-generated ripples

Published online by Cambridge University Press:  12 April 2006

Peter H. Y. Lee
Affiliation:
Engineering Sciences Laboratory, TRW/DSSG, One Space Park, Redondo Beach, California 90278 Present address: University of California, Lawrence Livermore Laboratory, P.O. Box 808, Mail Station L-549, Livermore, California 94550.

Abstract

The effects of gravity waves on wind-generated ripples are studied experimentally by means of Doppler spectra obtained through microwave Bragg backscattering. The measurements were made at 9·23 GHz with incidence angles of between 45° and 55°. It is found from the Doppler frequency shift that an increase in the speed of Bragg waves (ripples) of wavelength approximately 2 cm can be detected when a gravity wave is propagated into a pre-existing wind-wave field. The Doppler frequency shift corresponds, to first order, to the orbital speed of the gravity wave. Further studies, using a conditional sampling technique, reveal that the Bragg scatterers are localized on the gravity wave's crest. The mechanism leading to the ‘localization’ is as yet unidentified. Ratios of gravity wavelength to Bragg (ripple) wavelength ranging from 13 to 35 have been studied.

Type
Research Article
Copyright
© 1977 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Banner, M. L. & Phillips, O. M. 1974 On the incipient breking of small-scale waves. J. Fluid Mech. 65, 647657.Google Scholar
Bass, F. G., Fuks, J. M., Kalmykov, A. I., Ostrovsky, I. E. & Rosenberg, A. D. 1968 Very high frequency radiowave scattering by a disturbed sea surface. Parts I and II. I.E.E.E. Trans. Antennas Propagation 16, 554568.Google Scholar
Cox, C. S. 1958 Measurements of slopes of high frequency wind waves. J. Mar. Res. 16, 199225.Google Scholar
Crombie, D. D. 1955 Doppler spectrum of sea echo at 1356 Mc./s. Nature 175, 681682.Google Scholar
Duncan, J. R., Keller, W. C. & Wright, J. W. 1974 Fetch and wind dependence of Doppler spectra. Radio Sci. 9, 809819.Google Scholar
Johnstone, D. 1975 Second-order electromagnetic and hydrodynamic effects in high-frequency radio-wave scattering from the sea. Ph.D. thesis, Stanford University.
Keller, W. C. & Wright, J. W. 1975 Microwave scattering and the straining of wind-generated waves. Radio Sci. 10, 139147.Google Scholar
Lewis, J. E., Lake, B. M. & Ko, D. R. S. 1974 On the interaction of internal waves and surface gravity waves. J. Fluid Mech. 63, 773800.Google Scholar
Longuet-Higgins, M. S. 1953 Mass transport in water waves. Phil. Trans. Roy. Soc. A 245, 535581.Google Scholar
Longuet-Higgins, M. S. & Stewart, R. W. 1960 Changes in the form of short gravity waves on long wind waves and tidal currents. J. Fluid Mech. 8, 565583.Google Scholar
Mcgoldrick, L. F. 1970 On Wilton's ripples: a special case of resonant interactions. J. Fluid Mech. 42, 193200.Google Scholar
Munk, W. 1955 High frequency spectrum of ocean waves. J. Mar. Res. 14, 302314.Google Scholar
Peake, W. H. 1959 The interaction of electromagnetic waves with some natural surfaces. Antenna Lab., Ohio State Univ. Rep. no. 898–2.Google Scholar
Pidgeon, V. W. 1968 Doppler dependence of radar sea return. J. Geophys. Res. 73, 13331341.Google Scholar
Rice, S. O. 1951 Reflection of electromagnetic waves from slightly rough surfaces. Comm. Pure Appl. Math. 4, 351378.Google Scholar
Semyonov, B. I. 1966 Approximate computation of scattering electromagnetic waves by rough surface contours. Acad. Sci. U.S.S.R., Rad. Engng Electron. Phys. 11, 11791187.Google Scholar
Unna, P. J. 1941 White horses. Nature 148, 226227.Google Scholar
Unna, P. J. 1942 Waves and tidal streams. Nature 149, 219220.Google Scholar
Unna, P. J. 1947 Sea waves. Nature 159, 239242.Google Scholar
Valenzuela, G. R. 1968 Scattering of electromagnetic waves from a tilted slightly rough surface. Radio Sci. 3, 10571066.Google Scholar
Valenzuela, G. R. & Laing, M. B. 1970 Study of Doppler spectra of radar sea echo. J. Gephys. Res. 75, 551563.Google Scholar
Wright, J. W. 1968 A new model for sea clutter. I.E.E.E. Trans. Antennas Propagation 16, 466474.Google Scholar
Wright, J. W. & Keller, W. C. 1971 Doppler spectra in microwave scattering from wind waves. Phys. Fluids 14, 466474.Google Scholar
Yuen, H. C. & Lake, B. M. 1975 Nonlinear deep water waves: theory and experiment. Phys. Fluids 18, 956960.Google Scholar