A. Morel et B. Gentili, DIFFUSE-REFLECTANCE OF OCEANIC WATERS .3. IMPLICATION OF BIDIRECTIONALITY FOR THE REMOTE-SENSING PROBLEM, Applied optics, 35(24), 1996, pp. 4850-4862
The upwelling radiance field beneath the ocean surface and the emergin
g radiance field are not generally isotropic. Their bidirectional stru
cture depends on the illumination conditions (the Sun's position in pa
rticular) and on the optical properties of the water body. In oceanic
case 1 waters, these properties can be related, for each wavelength la
mbda, to the chlorophyll (Chl) concentration. We aim to quantify syste
matically the variations of spectral radiances that emerge from an oce
an with varying Chl when we change the geometric conditions, namely, t
he zenith-Sun angle, the viewing angle, and the azimuth difference bet
ween the solar and observational vertical planes. The consequences of
these important variations on the interpretation of marine signals, as
detected by a satelliteborne ocean color sensor, are analyzed. In par
ticular, the derivation of radiometric quantities, such as R(lambda),
the spectral reflectance, or [L omega(lambda)](N), the normalized wate
r-leaving radiance that is free from directional effects, is examined,
as well as the retrieval of Chl. We propose a practical method that i
s based on the use of precomputed lookup tables to provide values of t
he f/Q ratio in all the necessary conditions [f relates R(lambda) to t
he backscattering and absorption coefficients, whereas Q is the ratio
of upwelling irradiance to any upwelling radiance]. The f/Q ratio, bes
ides being dependent on the geometric configuration (the three angles
mentioned above), also varies with lambda and with the bio-optical sta
te, conveniently depicted by Chl. Because Chl is one of the entries fo
r the lookup table, it has to be derived at the beginning of the proce
ss, before the radiometric quantities R(lambda) or [L omega(lambda)](N
) can be produced. The determination of Chl can be made through an ite
rative process, computationally fast, using the information at two wav
elengths. In this attempt to remove the bidirectional effect, the comm
only accepted view relative to the data-processing strategy is somewha
t modified, i.e., reversed, as the Chl index becomes a prerequisite pa
rameter that must be identified prior to the derivation of the fundame
ntal radiometric quantities at all wavelengths. (C) 1996 Optical Socie
ty of America