A study of the wavenumber spectra of short water waves in the ocean. Part II: Spectral model and mean square slope

Journal of Atmospheric and Oceanic Technology

Volumn 14, Issue 5, 1997, Pages 1174-1186

  Hwang, Paul A ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0342696895     PISSN: 07390572     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0426(1997)014<1174:ASOTWS>2.0.CO;2     Document Type: Article

References (57)

1. Apel, J. R., 1994: An improved model of the ocean surface wave vector spectrum and its effects on radar backscatter. J. Geophys. Res., 99, 16 269-16 291.
2. Beal, R. C., P. S. DeLeonibus, and I. Katz, 1982: Spaceborne Synthetic Aperture Radar for Oceanography. The Johns Hopkins Press, 213 pp.
3. Blanc, T. V., 1985: Variation of bulk-derived surface flux, stability, and roughness results due to the use of the different transfer coefficient scheme. J. Phys. Oceanogr., 15, 650-669.
4. Brown, G. S., 1981: The wind-speed measurement capability of spaceborne radar altimeters. IEEE J. Oceanic Eng., OE-6, 59-63.
5. _, 1990: Quasi-specular scattering from the air-sea interface. Surface Waves and Fluxes, W. Plant and G. Geernaert, Eds., Vol. 2, Kluwer Academic, 1-40.
6. Colton, M. C., W. J. Plant, W. C. Keller, and G. L. Geernaert, 1995: Tower-based measurements of normalized radar cross section from Lake Ontario: Evidence of wind stress dependence. J. Geophys. Res., 100, 8791-8813.
7. Cox, C. S., 1958: Measurement of slopes of high-frequency wind waves. J. Mar. Res., 16, 199-225.
8. _, and W. Munk, 1954: Statistics of the sea surface derived from sun glitter. J Mar. Res., 13, 198-227.
9. _, and _, 1956: Slopes of the sea surface deduced from photographs of sun glitter. Bull. Scripps Inst. Oceanogr., 6, 401-488.
10. Crombie, D. D., 1955: Doppler spectrum of sea echo at 13.56 Mc./s. Nature, 175, 681-682.
11. Dobson, F., 1985: Comment on "Measurement of high-frequency waves using a wave follower" by S. Tang and O. H. Shemdin. J. Geophys. Res., 90, 9203-9204.
12. Donelan, M. A., and W. J. Pierson, 1987: Radar scattering and equilibrium range in wind-generated waves with application to scatterometry. J. Geophys. Res., 92, 4971-5029.
13. _, J. Hamilton, and W. H. Hui, 1985: Directional spectra of wind generated waves. Philos. Trans. Roy. Soc. London, Ser., A, 315, 509-562.
14. Hasselmann, K., and Coauthors, 1973: Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Ergänzungsheft zur Deutschen Hydrographischen Zeitschrift, Reihe A (8°), Nr. 12, Deutsches Hydrographisches Institut, Hamburg, Germany, 95 pp.
15. Holliday, D., G. St-Cyr, and N. E. Woods, 1986: A radar ocean imaging model for small to moderated incidence angles. Int. J. Remote Sens., 7, 1809-1834.
16. Hughes, B. A., 1978: The effect of internal waves on surface wind waves. 2. Theoretical analysis. J. Geophys. Res., 83, 455-465.
17. _, H. L. Grant, and R. W. Chappell, 1977: A fast response surface-wave slope meter and measured wind-wave moments. Deep-Sea Res., 24, 1211-1223.
18. Hwang, P. A., 1992: Optical measurements of short wave modulation by surface currents. Optics of the Air-Sea Interface: Theory and Measurement, San Francisco, CA SPIE, 216-221.
19. _, 1995: Spatial measurements of small-scale ocean waves. Air-Water Gas Transfer, Third International Symposium on Air-Water Gas Transfer, B. Jahne and E. C. Monahan, Eds., Aeon Verlag and Studio, 153-164.
20. _, and O. H. Shemdin, 1988: The dependence of sea surface slope on atmospheric stability and swell condition. J. Geophys. Res., 93, 13903-13912.
21. _, and _, 1990: Modulation of short waves by surface currents - A numerical solution. J. Geophys. Res., 95, 16 311-16 318.
22. _, D. Xu, and J. Wu, 1989: Breaking of wind-generated waves: Measurements and characteristics. J. Fluid Mech., 202, 177-200.
23. _, D. B. Trizna, and J. Wu, 1993: Spatial measurements of short wind waves using a scanning slope sensor. Dyn. Atmos. Oceans, 20, 1-23
24. _, S. Atakturk, M. A. Sletten, and D. B. Trizna, 1994: Wavenumber spectrum of capillary-gravity waves in the ocean. Preprints, Second Int. Conf, on Air-Sea Interaction and on Meteorology and Oceanography of the Coastal Zone, Lisbon, Portugal, Amer. Meteor. Soc., 80-81.
25. _, S. Atakturk, M. A. Sletten, and D. B. Trizna, 1996: A study of the wavenumber spectra of short water waves in the ocean. J. Phys. Oceanogr., 26, 1266-1285.
26. _, D. W-C. Wang, W. J. Teague, and G. A. Jacobs, 1997: Effect of surface tilting on altimeter wind measurements. J. Geophys. Res., in press.
27. u-band backscatter data. J. Geophys. Res., 97, 11 411-11 427.
28. Jahne, B., and K. S. Riemer, 1990: Two-dimensional wavenumber spectra of small-scale water surface waves. J. Geophys. Res., 95, 11 431-11 546.
29. Jessup, A., W. C., Keller, and K. Melville, 1990: Measurement of sea spikes in microwave scatter at moderate incidence. J. Geophys. Res., 95, 9679-9688.
30. Jones, W. L., and L. C. Schroeder, 1978: Radar backscatter from the ocean: Dependence on surface friction velocity. Bound.-Layer Meteor., 13, 133-149.
31. Large, W. G., and S. Pond, 1981: Open ocean momentum flux measurements in moderate to strong winds. J. Phys. Oceanogr., 11, 324-336.
32. Liu, W. T., K. B. Katsaros, and J. A. Businger, 1979: Bulk parameterization of air-sea exchanges of heat and water vapor including the molecular constraints at the interface. J. Atmos. Sci., 36, 1722-1735.
33. Liu, Y., and X.-H. Yan, 1995: The wind-induced wave growth rate and the spectrum of the gravity-capillary waves. J. Phys. Oceanogr., 25, 3196-3218.
34. u-band airborne scatterometers. J. Geophys. Res., 91, 13 065-13 083.
35. Phillips, O. M., 1977: The Dynamics of the Upper Ocean. 2d ed. Cambridge University Press, 336 pp.
36. _, 1984: On the response of short ocean wave component at a fixed wavenumber to ocean current variations. J. Phys. Oceanogr., 14, 1425-1433.
37. _, 1985: Spectral and statistical properties of the equilibrium range in wind-generated gravity waves. J. Fluid Mech., 156, 505-531.
38. _, 1988: Radar return from the sea surface - Bragg scattering and breaking waves. J. Phys. Oceanogr., 18, 1065-1074.
39. Pierson, W. J., and L. Moskowitz, 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.
40. _, and R. A. Stacy, 1973: The elevation slope and curvature spectra of a wind roughened sea surface. NASA Contract Rep. CR-2247, 126 pp.
41. Plant, W. J., 1990: Bragg scattering of electromagnetic waves from the air/sea interface. Surface Waves and Fluxes, G. L. Geernaert and W. J. Plant, Eds., Vol. II, Kluwer Academic, 41-108.
42. Schule, J. J., L. S. Simpson, and P. S. DeLeonibus, 1971: A study of fetch limited wave spectra with an airborne laser. J. Geophys. Res., 76, 4160-4171.
43. Shemdin, O. H., and P. A. Hwang, 1988: Comparison of measured and predicted sea surface spectra of short waves. J. Geophys. Res., 93, 13 883-13 890.
44. Stewart, R. H., 1985: Method of Satellite Oceanography. University of California Press, 360 pp.
45. Sutherland, A., 1968: Growth of spectral components in a wind-generated wave train. J. Fluid Mech., 33, 545-560.
46. Tang, S., and O. H. Shemdin, 1983: Measurement of high frequency waves using a wave follower. J. Geophys. Res., 88, 9832-9840.
47. Thompson, D. R., 1988: Calculation of radar backscatter modulation from internal waves. J. Geophys. Res., 93, 12 371-12 380.
48. Trizna, D. B., J. P. Hansen, P. Hwang, and J. Wu, 1991: Laboratory studies of radar sea spikes at low grazing angles. J. Geophys. Res., 96, 12 529-12 537.
49. _, _, _, and _, 1993: Ultra-wideband radar studies of steep crested waves with scanning laser measurements of wave slope profiles. Dyn. Atmos. Oceans, 20, 33-53.
50. Valenzuela, G. R., 1978: Theories for the interaction of electromagnetic and oceanic waves - A review. Bound.-Layer Meteor., 13, 61-85.
51. Weissman, D. E., K. L. Davidson, R. A. Brown, C. A. Frieche, and F. Li, 1994: Relationship between the microwave radar cross section and both wind speed and stress: Model function studies using Frontal Air-Sea Interaction Experiment data. J. Geophys. Res., 99, 10 087-10 108.
52. Wentz, F. J., 1977: A two scale scattering model with application to the JONSWAP '75 Aircraft Microwave Scatterometer Experiment. NASA Contract Rep. 2919.
53. Wetzel, L. B., 1993: A time domain model for sea scatter. Radio Sci., 28, 139-150.
54. Winebrenner, D. P., and K. Hasselmann, 1988: Specular point scattering contribution to the mean synthetic aperture radar image of the ocean surface. J. Geophys. Res., 93, 9281-9294.
55. Wright, J. W., 1966: Backscattering from capillary waves with application to sea clutter. IEEE Trans. Antennas Propag., AP-14, 749-754.
56. _, 1968: A new model for sea clutter. IEEE Trans. Antennas Propag., AP-16, 217-223.
57. Wu, J., 1972: Sea-surface slope and equilibrium wind-wave spectra. Phys. Fluids, 15, 741-747.