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High-frequency radar observations of sea waves travelling in opposition to the wind

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High-frequency (HF) radar observations of sea waves apparently travelling against the wind are discussed. In some cases, it appears that the wave angular spectrum does contain components travelling against the wind. Some data taken on the Barbados Island during BOMEX have been analyzed, and they show that such components increase in amplitude with distance from a windward shore. It is shown that the order of magnitude of the observed growth rates can be explained by resonant non-linear interaction within the wave spectrum.

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  1. Barrick, D. E., Headrick, J. M., Bogle, R. W., and Crombie, D. D.: 1974, ‘Sea Backscatter at HF: Interpretation and Utilization of the Echo’,Proc. IEE 62, 673–680.

  2. Crombie, D. D.: 1971, ‘Backscatter of HF Radio Waves from the Sea’, in J. R. Wait (ed.),Electromagnetic Probing in Geophysics, Golem Press, Boulder, Colorado, Chap. 4.

  3. Crombie, D. D.: 1972, ‘Resonant Backscatter from the Sea and Its Application to Physical Oceanography’,Proc. 1972 IEEE Conf. Engineering in the Ocean Environment.

  4. Fox, M. J. H.: 1976, ‘On the Nonlinear Transfer of Energy in the Peak of a Gravity-Wave Spectrum II’,Proc. Roy. Soc. A. 348 (1655), 467–483.

  5. Hasselmann, K.: 1962, ‘On the Non-Linear Energy Transfer in a Gravity-Wave Spectrum. I: General Theory’,J. Fluid Mech. 12, 481–500.

  6. Hasselmann, K.: 1963a, ‘On the Non-Linear Energy Transfer in a Gravity-Wave Spectrum. 2: Conservation Theorems, Wave-Particle Correspondence, Irreversibility’,J. Fluid Mech. 15, 273–281.

  7. Hasselmann, K.: 1963b, ‘On the Non-Linear Energy Transfer in a Gravity-Wave Spectrum. 3: Computation of the Energy Flux and Swell-Sea Interactions for a Neumann Spectrum’,J. Fluid Mech. 15, 385–398

  8. Hasselmann, K., Barnett, T. P., Bouws, E., Carlson, H., Cartwright, D. E., Enke, K., Ewing, J. A., Gienapp, H., Hasselmann, D. E., Kruseman, P., Meerburg, A., Müller, P., Olbers, D. J., Richter, K., Sell, W., and Walden, H.: 1973, ‘Measurement of Wind-Wave Growth and Swell Decay during the Joint North Sea Wave Project (JONSWAP)’,Deutsche Hydrographische Zeitschrift Suppl.A8ℴ (12), 1–95.

  9. Herterich, K. and Hasselman, K.: 1977, ‘A Similarity Relation for the Nonlinear Energy Transfer in a Finite-Depth Gravity-Wave Spectrum’, (submitted for publication).

  10. Longuet-Higgins, M. S.: 1962, ‘Resonant Interactions Between Two Trains of Gravity Waves’,J. Fluid Mech. 12, 138–159.

  11. Longuet-Higgins, M. S.: 1975, ‘On the Nonlinear Transfer of Energy in the Peak of a Gravity-Wave Spectrum’,Proc. Roy. Soc. Lond. A. 347, 311.

  12. Phillips, O. M.: 1960, ‘On the Dynamics of Unsteady Gravity Waves of Finite Amplitude. Part I’,J. Fluid Mech. 9, 193–217.

  13. Phillips, O. M.: 1966,The Dynamics of the Upper Ocean, Cambridge University Press.

  14. Pierson, W. J., Jr. and Moskowitz, L.: 1964, ‘A Proposed Spectral Form for Fully Developed Wind Seas Based on the Similarity Theory of S. A. Kitaigorodskii’,J. Geophys. Res. 69, 5181–5190.

  15. Sell, W. and Hasselmann, K.: 1972, ‘Computations of Nonlinear Energy Transfer for JONSWAP and Empirical Wind Wave Spectra’, (Report), Institute of Geophysics, University of Hamburg.

  16. Snyder, R. L.: 1974, ‘A Field Study of Wave-Induced Pressure Fluctuations above Surface Gravity Waves’,J. Marine Res. 32, 497–531.

  17. Tyler, G. L., Teague, C. C., Stewart, R. H., Peterson, A. M., Munk, W. H., and Joy, J. W.: 1974, ‘Wave Directional Spectra from Synthetic Aperture Observations of Radio Scatter’,Deep-Sea Res. 21, 989–1016.

  18. Webb, D. J.: 1977, ‘Non-Linear Transfers Between Sea Waves’, (Unpublished Manuscript).

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Crombie, D.D., Hasselmann, K. & Sell, W. High-frequency radar observations of sea waves travelling in opposition to the wind. Boundary-Layer Meteorol 13, 45–54 (1978).

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  • Growth Rate
  • Radar
  • Wave Spectrum
  • Radar Observation
  • Angular Spectrum