Geoscience Reference
In-Depth Information
As R T is a constant relatively to the variable of the integration the following
is deduced with a subject to symmetry relations (1.78):
TRT =
µ 0 φ
µ
φ
µ 0 )
A
(
)
(
for the top of the atmosphere ,
TRT =
µ 0 ψ
µ
φ
µ 0 )
A
(
)
(
for the bottom of the atmosphere ,
where
1
ψ
µ
=
ρ
0 (
µ
µ )
µ d
µ .
(
)
2
˜
,
(1.81)
0
After substituting the obtained expressions to series (1.75), summarizing the
geometric progression, accounting definitions (1.76), and expansions (1.79)
we are getting the known (Sobolev 1972) relations:
φ
µ 0 )
1− AC
µ
φ
)+ A
(
)
(
ρ
µ
µ 0 ,
ϕ
= ρ
µ
µ 0 ,
ϕ
¯
(
,
)
(
,
,
(1.82)
ψ
µ 0 )
1− AC
µ
φ
)+ A
(
)
(
σ
µ
µ
ϕ
= σ
µ
µ
ϕ
¯
(
,
0 ,
)
(
,
0 ,
.
Relations (1.82) together with (1.80)-(1.81) are expressing the simple links of
the reflection and transmission functions in the case of the system“atmosphere
plus surface” with the same functions without reflection from the surface. That
is to say, a subject to the surface actually is not a complicated problem. Mark
that the symmetry of the reflection function is also correct with the reflection
from the surface ¯
ρ
µ
µ 0 ,
ϕ
=
ρ
µ 0 ,
µ
ϕ
(
,
)
¯
(
,
).
1.5
Cloud impact on the Radiative Transfer
Clouds are the most variable component of the climatic system and they play
a key role in atmospheric energetics. The actual elaborations in the field of
the numerical climate simulation are the following: the creation of the high-
resolution models for the limited area scales which are suitable for the pa-
rameterization of cloud dynamics in the climate simulation; the evaluation
of the yields of the cloud radiative forcing and microphysical processes (with
taking into account the atmospheric aerosols) to the formation of the prop-
erties and structure of the cloud cover; the algorithms improvement for the
cloud characteristics retrieval from the remote sounding data. The methods
of the calculation of the characteristics of solar radiation (the semispherical
irradiances, radiances and absorption) and derivation of the cloud optical
characteristics from the radiation observational data will be considered below
to solve the problems mentioned above.
Theprocessoftheradiativetransferwithincloudsisalsodescribedwith
radiative transfer equation (1.35), but the multiple scattering plays the main
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