Dt. Walker et al., RADAR BACKSCATTER AND SURFACE-ROUGHNESS MEASUREMENTS FOR STATIONARY BREAKING WAVES, Proceedings - Royal Society. Mathematical, physical and engineering sciences, 452(1952), 1996, pp. 1953-1984
In this study the surface features and the radar backscatter associate
d with breaking waves generated by a uniform flow past a stationary su
bmerged hydrofoil were examined. The level of energy dissipation due t
o breaking was varied by changing the foil angle of attack. Time serie
s of surface elevation profiles were obtained for the breaking crest r
egion and the following waves. Radar backscatter (X-band) was also mea
sured for an incidence angle of 45 degrees with the radar looking both
upwave and downwave for HH and VV polarizations. These measurements w
ere compared to model predictions of radar backscatter using the surfa
ce elevation data as inputs to the model. The breaking crest region ex
hibited the largest surface disturbances, as measured by the temporal
variance of the surface elevation. The maximum in the variance was ass
ociated with large low-frequency disturbances in the 'toe' region. Dow
nstream-moving waves appear just ahead of the crest and, due primarily
to interaction with the spatially varying current set up by the stati
onary wave, decrease in amplitude by an order of magnitude as they pro
pagate downstream. These surface disturbances remain at a low level th
ereafter. A maximum radar cross-section per unit area of about 0.5 was
observed near the breaking crest, for both HH and VV polarization in
the upwave look direction. The maximum value for the upwave look direc
tion was about twice as large as for the downwave look direction. Down
stream of the breaking crest, the radar cross-section decreased rapidl
y and then leveled off, and an increasing difference between the VV an
d HH backscatter was observed as the overall backscatter level decreas
ed. Near the second crest, there was a small increase in the height va
riance and in the radar cross-section. The surface-elevation measureme
nts were used as inputs for a Bragg-scattering model and the expected
radar backscatter was calculated. The variations in the observed radar
cross-section downstream of the breaking crest are satisfactorily exp
lained by the Bragg model when surface-tilt effects are taken into acc
ount. However, the backscatter from the breaking crest itself is not a
ccurately predicted since, in this region, the small-scale surface rou
ghness exceed the limits of validity for the Bragg model.