Observations of swell influence on ocean surface roughness

[1] Field measurements of the ocean surface wave spectrum focusing on the slope-contributing components are used to construct a spectral model of the ocean surface roughness. The spectral parameterization is established with the observed empirical power law relation between the dimensionless wave spectral density and wind speed. The power law parameters (proportionality coefficient and exponent) are shown to be modified by swell. Discussions are presented on the swell effects of spectral properties, including their wind speed dependence and swell modification of roughness components characterizing Bragg resonance and surface tilting in radar application. Several notable results include the following: (1) With increasing swell intensity, the spectral density increases in the long-wave portion and decreases in the short-wave portion of the intermediate-scale waves. (2) There is a nodal point with respect to swell impact in the wave number dependence of the coefficient and exponent of the spectral parameterization function in the vicinity of wave number near 3 rad/m, suggesting that waves about a couple of meters long are insensitive to swell influence. (3) Spectral density in the decimeter length scale becomes less sensitive to wind speed variation as swell intensity increases. (4) Increasing swell influence shifts wave breaking toward shorter and broader scales.

[1]  Paul A. Hwang Wave number spectrum and mean square slope of intermediate‐scale ocean surface waves , 2005 .

[2]  Robert E. McIntosh,et al.  Space-time properties of radar sea spikes and their relation to , 1998 .

[3]  Robert N. Swift,et al.  Airborne Measurements of the Wavenumber Spectra of Ocean Surface Waves. Part I: Spectral Slope and Dimensionless Spectral Coefficient* , 2000 .

[4]  Owen M. Phillips,et al.  On the Response of Short Ocean Wave Components at a Fixed Wavenumber to Ocean Current Variations , 1984 .

[5]  W. Plant A relationship between wind stress and wave slope , 1982 .

[6]  H. Masuko,et al.  Measurement of microwave backscattering signatures of the ocean surface using X band and Ka band airborne scatterometers , 1986 .

[7]  J. Wright A new model for sea clutter , 1968 .

[8]  Paul A. Hwang,et al.  An empirical investigation of source term balance of small scale surface waves , 2004 .

[9]  Bertrand Chapron,et al.  Ocean Wave Slope Observations Using Radar Backscatter and Laser Altimeters , 2004 .

[10]  William J. Plant,et al.  Growth and equilibrium of short gravity waves in a wind-wave tank , 1977, Journal of Fluid Mechanics.

[11]  Paul A. Hwang Comment on “A study of the slope probability density function of the ocean waves from radar observations” by D. Hauser et al. , 2009 .

[12]  Alexis Mouche,et al.  A study of the slope probability density function of the ocean waves from radar observations , 2008 .

[13]  Estimation of Directional Surface Wave Spectra from a Towed Research Catamaran , 1997 .

[14]  I. Young The determination of confidence limits associated with estimates of the spectral peak frequency , 1995 .

[15]  Jakov V. Toporkov,et al.  Breaking wave contribution to low grazing angle radar backscatter from the ocean surface , 2008 .

[16]  O. M. Phillips,et al.  Radar Returns from the Sea Surface—Bragg Scattering and Breaking Waves , 1988 .

[17]  C. Cox Statistics of the sea surface derived from sun glitter , 1954 .

[18]  J. Crease The Dynamics of the Upper Ocean , 1967 .

[19]  Paul A. Hwang,et al.  Directional Distributions and Mean Square Slopes in the Equilibrium and Saturation Ranges of the Wave Spectrum , 2001 .

[20]  Alexis Mouche,et al.  Reply to comment by Paul A. Hwang on ``A study of the slope probability density function of the ocean waves from radar observations'' by D. Hauser et al. , 2009 .

[21]  B. Hughes The effect of internal waves on surface wind waves 2. Theoretical analysis , 1978 .

[22]  M. Donelan,et al.  Directional spectra of wind-generated ocean waves , 1985, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[23]  W John,et al.  Backscattering from Capillary Waves with Application to Sea Clutter , 1966 .

[24]  O. Phillips Spectral and statistical properties of the equilibrium range in wind-generated gravity waves , 1985, Journal of Fluid Mechanics.

[25]  F. J. Wentz,et al.  A Two-Scale Scattering Model With Application to JONSWAP '75 Aircraft Microwave Scatterometer Experiment , 1977 .

[26]  William J. Plant,et al.  Tower‐based measurements of normalized radar cross section from Lake Ontario: Evidence of wind stress dependence , 1995 .

[27]  Alexis Mouche,et al.  Dual-polarization measurements at C-band over the ocean: results from airborne radar observations and comparison with ENVISAT ASAR data , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[28]  H. Mitsuyasu,et al.  The Effect of Swell on the Growth of Wind Waves , 1991 .

[29]  Yoshiaki Toba,et al.  Local balance in the air-sea boundary processes , 1972 .

[30]  P. Hwang Doppler frequency shift in ocean wave measurements: Frequency downshift of a fixed spectral wave number component by advection of wave orbital velocity , 2006 .

[31]  D. E. Hines,et al.  Sea surface mean square slope from K u ‐band backscatter data , 1992 .

[32]  John Trinder,et al.  Wavenumber spectra of short gravity waves , 1989, Journal of Fluid Mechanics.

[33]  Jeffrey L. Hanson,et al.  Automated Analysis of Ocean Surface Directional Wave Spectra , 2001 .

[34]  Fuk K. Li,et al.  The relationship between the microwave radar cross section and both wind speed and stress: Model function studies using Frontal Air-Sea Interaction Experiment data , 1994 .

[35]  W. Liu,et al.  Bulk Parameterization of Air-Sea Exchanges of Heat and Water Vapor Including the Molecular Constraints at the Interface , 1979 .

[36]  George Z. Forristall,et al.  Measurements of a saturated range in ocean wave spectra , 1981 .

[37]  J. Apel An improved model of the ocean surface wave vector spectrum and its effects on radar backscatter , 1994 .

[38]  Paul A. Hwang,et al.  Spectral signature of wave breaking in surface wave components of intermediate-length scale , 2007 .

[39]  Paul A. Hwang,et al.  A Study of the Wavenumber Spectra of Short Water Waves in the Ocean. Part II: Spectral Model and Mean Square Slope , 1996 .

[40]  W. L. Jones,et al.  Aircraft measurements of the microwave scattering signature of the ocean , 1977 .

[41]  F. Riedel,et al.  Proposed Model for the Elevation Spectrum of a Wind-Roughened Sea Surface , 1979 .

[42]  Sean P. Burns,et al.  Measuring sea surface mean square slope with a 36-GHz scanning , 1998 .

[43]  O. H. Shemdin,et al.  Measurement of high frequency waves using a wave follower , 1983 .

[44]  T. Barnett,et al.  Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP) , 1973 .

[45]  W. Pierson,et al.  A proposed spectral form for fully developed wind seas based on the similarity theory of S , 1964 .

[46]  Paul A. Hwang,et al.  The dependence of sea surface slope on atmospheric stability and swell conditions , 1988 .

[47]  Jakov V. Toporkov,et al.  Analysis of radar sea return for breaking wave investigation , 2008 .

[48]  Paul A. Hwang,et al.  A Study of the Wavenumber Spectra of Short Water Waves in the Ocean , 1996 .

[49]  Paul A. Hwang,et al.  Field measurements of duration-limited growth of wind-generated ocean surface waves at young stage of development , 2004 .

[50]  K. Katsaros,et al.  A Unified Directional Spectrum for Long and Short Wind-Driven Waves , 1997 .

[51]  M. Donelan,et al.  Radar scattering and equilibrium ranges in wind‐generated waves with application to scatterometry , 1987 .

[52]  W. Plant A stochastic, multiscale model of microwave backscatter from the ocean , 2002 .