S. Hasselmann et al., AN IMPROVED ALGORITHM FOR THE RETRIEVAL OF OCEAN WAVE SPECTRA FROM SYNTHETIC-APERTURE RADAR IMAGE SPECTRA, J GEO RES-O, 101(C7), 1996, pp. 16615-16629
An earlier algorithm for retrieving two-dimensional wave spectra from
synthetic aperture radar (SAR) image spectra is improved by using a mo
dified cost function and introducing an additional iteration loop in w
hich the first-guess input spectrum is systematically updated. For thi
s purpose a spectral partitioning scheme is applied in which the spect
rum is decomposed into a finite number of distinct wave systems. At ea
ch iteration step, the individual wave systems of the partitioned nth-
guess wave spectrum are adjusted to agree in mean energy, frequency, a
nd direction with the corresponding mean values of the associated wave
systems of the SAR-inverted wave spectrum. The algorithm retrieves sm
ooth wave spectra, avoiding the discontinuities which tended to arise
in the previous algorithm in the transition region near the azimuthal
wavenumber cutoff of the SAR image spectrum. The azimuthal cutoff of t
he SAR spectrum is also reproduced more accurately. The greatest impro
vement of the new retrieval algorithm is obtained when the discrepanci
es between the initial first-guess wave spectrum and the observed SAR
spectrum are large. In this case the additional updating loop for the
input spectrum enables the retrieved spectrum to adjust such that the
simulated SAR spectrum matches more closely the observed SAR spectrum.
The overall correlation of a large set of simulated SAR spectra with
the measured SAR spectra is found to be significantly higher than with
the previous algorithm, indicating that the algorithm not only overco
mes isolated shortcomings of the earlier algorithm but also yields ret
rieved wave spectra which are generally more consistent with the input
SAR data. An additional practical advantage of the new algorithm is t
hat it returns spectral partioning parameters which dan be used in SAR
wave data assimilation schemes.