An empirical bispectrum model for sea surface scattering

Multispectra for ocean-like random rough surface scattering

“…The fact that Sa(O) = = S' '(0) = 0 is confirmed by the simulations of Chen and colleagues [37], based on the generation of a skewed surface profile numerically in one dimension. We find the following relationship a property stated by Fung and Chen [23].…”

“…Later, the same group proposed the modified expression [37] For this form of the skewness function, we find that Sà3) (0) = 6/s3 and In this case, the slopes third moment depends on the ratio a/sp . Examples are provided of the influence of so for 0 < kso < 2.5 and ku = 0.418, at a wind speed U = 14 m/s.…”

“…They show however, through a simple example, that the waves are tilted forward or backward depending on the sign of the imaginary part of 62 : thus determines the a?/mmen/ of the waves, also called horizontal skewness by Chen et al [37]. On the other hand, the real part of 52 is related to the skewness: it leads to a wave with sharp peaks and flat troughs, or conversely.…”

“…On the other hand, the real part of 52 is related to the skewness: it leads to a wave with sharp peaks and flat troughs, or conversely. This is called vertical skewness in [37] ; it leads to a skewed displacement pdf. Kim and Powers [26] define the biphase as the ratio of the imaginary to the real part of 62…”

“…As a consequence of the symmetry relationships (32), it has the following property This contracted bicorrelation function can be separated into a symmetric part and an asymmetric part as follows [37] A contracted bispectrum is then defined as and is such that l#* (-k) = S(K) . It can be separated into a real and symmetric part 6'g(A') and an imaginary and asymmetric part jsa (k) defined respectively by The function Sa(p) is called by Fung and colleagues [23] skewness function.…”