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∆τ
0
|τ
0
upon optical thickness
τ
0
with the value
Fig. 6.1.
Dependence of relative uncertainty
ω
0
=
=
=
of
0.999.
Solid lines
corresponds to
A
0.7,
dashed lines
corresponds to
A
0.1.
1 - for reflection irradiance; 2 - for transmitted irradiance; 3 - average values
τ
0
are available even for
3andtherelativeerrordoesnotexceed5%for
ω
0
≥
0.999. The error of the retrieval of optical thickness strongly decreases
with the increasing of radiation absorption. As is shown in Fig. 6.1 the error
analysis using the numerical simulation indicates that the first formula from
(6.29) provides the underestimation of value
≥
τ
0
for 20-50% while substituting
the reflected irradiance at the cloud top, the second one overestimates value
τ
0
,
whilesubstitutingthetransmittedirradianceatthecloudbottom,andtheav-
erage from these two values turns out to be rather close to real
τ
0
(the relative
ω
0
≥
0.990).
error is about 10% for
∆τ
0
|τ
0
upon
ω
0
formean value of
τ
0
,(6
<
τ
0
<
25)
Fig. 6.2.
Dependence of relativeuncertainty
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