D. Laurent et al., THE EULER VECTOR - A POLARIMETRIC DESCRIPTOR OF THE OCEAN SURFACE, Journal of electromagnetic waves and applications, 9(1-2), 1995, pp. 217-240
The mean polarimetric behavior of the sea surface, on a time-averaged
measurement, can be described by its averaged Mueller matrix. A method
for the calculation of this matrix has already been proposed: it cons
ists of an extension of the small perturbations technique to the vecto
rial case, from a two-scale sea surface model. In this article a backs
cattering model is shown, which is representative of a single instanta
neous measurement instead of a time-average of measurements. For this
purpose, the polarimetric response is characterized by the sea surface
''polarization fork,'' described by the five Euler parameters. A mini
mal polarimetric descriptor is defined, the Euler vector, characterizi
ng a ''frozen'' sea state, and whose components are the averaged value
s of the Euler parameters. The main interest of such a polarimetric si
gnature of the sea surface is that the component of this new descripto
r can be linked with the observation parameters (incidence of the illu
mination, azimuthal direction of the observation with respect to the w
ind direction, speed of the wind), in other words with the physical ch
aracteristics of the ocean surface.