1Sing the
Op of the
, 2nd, and
Ititude of
? and the
tribution
nge type
(7)
Ir = land
ım in the
with v=
radiation
y = 0.0at
e indices
.5-i0.05:
ds ( from
m/sec),
ndex and
:d and its
ne of the
, 1.5, and
1erosols,
ions, 135
eoretical
e data or
Wz220
retically
range of
We found
observed
ed. They
d mers
SVE
ve aerosol
h v=40
r 11.0m/
.33-10.0]
< 12.50
e aerosol
vords, the
models,
when an
he Junge
type models with v « 3.0 and v » 5.0 can not satisfy the observed
reflectance data.
The case of the aerosol model A (v 2 3.5 and m-1.5-i0.01 ) is
presented here in detail, because of two reasons: (1) an Ángstróm
coefficient a=1.5 obtained from the aerosol optical thickness
measurements ( T=0.12 at 0.85um and 1 =0.314 at 0.45um )
suggests V = 3.5, according to Angstrôm's law, namely, v = 042,
(2) The refractive index of typical aerosols, like dust and water
soluble particles, is m=1.5. The surface wind speed does not change
the shape of the reflectance curve in the back scattering direction,
but it affects that in the sun glitter direction ( at the viewing zenith
angle between -30° to -50° ). We can estimate a range of wind
speed from the sun glitter portion of reflectance curve in the case
of aerosol model A. The range of the wind speed was thus
estimated to be 10.5 m/sec = V = 13.5 m/sec from Fig.1-(a),
whereas the observed one is V=14.4 m/sec. As shown in Fig.1-
(b), the wind speed has little effect on the linear polarization. The
theoretical reflectance and polarization curves of the aerosol model
A for V=11.0 m/sec are shown in Figs.2-(a) and 2-(b), together
with those of the aerosol models with m = 1.50, and m=1.50-
i0.05. We obtain the best fit with the observed reflectance data in
the case of m=1.5-10.01. However, theoretical linear polarization
values in the back scattering direction are much smaller than the
observed ones in the aerosol model A case. As shown in Fig. 2-
(b), the case of larger amount of aerosol absorption (mz1.5-
10.05) gives better results in linear polarization than other two
cases. The reflectance data suggests a model with slight absorbing
aerosols , whereas the linear polarization data suggests that with
strong absorbing aerosols. This is a contradiction and we need
more detailed analysis on this point near future, as well as the
foam effects which were not taken into account in this study. In
any cases, we found that the candidate aerosol models which are
derived from the reflectance analysis have some difficulties to
satisfy the observed linear polarization data in the backward
scattering direction.
3. CONCLUSIONS
In this paper we have made an analysis of Medimar airborne
POLDER data over the sea by the multiple scattering model. Our
conclusions based on this study are summarized as follows:
(1) We found several Junge type aerosol models, A-E which can
satisfy the observed reflectance data at 0.85um in the principal
plane by examining various combinations of aerosol optical
parameters and wind speeds.
(2) It is possible to estimate the surface wind speed by examining
the reflectance surge in the glitter direction at 0.85um . The
estimated ranges of the surface wind speed were presented for the
aerosol models, A - E. It was found to be 10.5 m/sec < V €
13.0 m/sec in the aerosol model A (Junge type size distribution
With v = 3.5, and refractive index m = 1.5 - 10.01) which is the
339
most probable model among the candidate aerosol models
suggested from the reflectance analysis at 0.85um .
(2) However, we also found that none of these models can satisfy
the observed linear polarization
data in the back scattering direction.
(3) Further study on other types of aerosol size distribution function
are needed to find a aerosol model which can satisfy both the
reflectance and polarization data.
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International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B7. Vienna 1996