432
The function
ϕ s
s
0
0
1
[ ]
−
(
) is revealed in Fig. 21.5 for 1 < s 0 < 10; at larger s 0 , it
defines a normal logarithm function of s 0 . The energy-law spectra of the thermal
photon is thus written in the form n(∈) ∝ ∈
m
for two systems in a pristine state
and for a system with photonic band heating on the earth surface plane.
Therefore, the solar irradiance absorption spectrum shall confirm a peak energy
cutoff with m > 0, which is the derived form of the thermal photon spectra at a peak
energy cutoff.
Thus, the formation of the spectrum is clarified as follows:
n
D
m
∈
( ) = ∈ ∈<∈
≤
β
β
,
,
0
(21.40)
=
∈>∈
0,
.
m
(21.41)
Thus, I have determined
d
dx
r D
m c
E
E E
F
E E
m
m
m
τ
π
σ
β
β
abs
=
×
<
( )
>
+
0
2
2 4 1
0,
,
,
,
(21.42)
where
σ m
m
m
E
E
E
m c
=
=
∈
2 4
,
(21.43)
F
s
s ds
m
m
β
σ
β
σ
ϕ
( )=
[ ]
∫
−
1
0
2
0
0 .
(21.44)
Again, by Eqs. (21.40) and (21.41), I have obtained the asymptotic forms:
β
σ
σ
σ
β
β
=
( )→ +
−
+…
0
4
2
:
l n
l n
,
F
A
m
m
m
β
σ
β σ
σ
β
σ
β
β
β
≠
( )→ +
−
−
(
) +…
>
−
−
0
2
4
2
10
1
1
:
l n
,
F
A
m
m
m
m
(21.45)
All β
σ
σ
β
σ
σ
β
:
,
F
m
m
m
m
( )→
−
(
) +
+
(
)
−
(
) +…
4
15
1
2 2
1
21
1
5
2
7
2
− −1 1
.
(21.46)
Here, the plots σ
β
m
− F β (σ m ) for β = 0–3.0A β in 0.5–A β intervals determine the
integral of the region of plane [16, 19]. The value is clarified as A β = 8.111 (β = 0),
13.53 (β = 0.5), 9.489 (β = 1.0), 15.675 (β = 1.5), 34.54 (β = 2.0), 85.29 (β = 2.5),
21 Climate Control
The function
ϕ s
s
0
0
1
[ ]
−
(
) is revealed in Fig. 21.5 for 1 < s 0 < 10; at larger s 0 , it
defines a normal logarithm function of s 0 . The energy-law spectra of the thermal
photon is thus written in the form n(∈) ∝ ∈
m
for two systems in a pristine state
and for a system with photonic band heating on the earth surface plane.
Therefore, the solar irradiance absorption spectrum shall confirm a peak energy
cutoff with m > 0, which is the derived form of the thermal photon spectra at a peak
energy cutoff.
Thus, the formation of the spectrum is clarified as follows:
n
D
m
∈
( ) = ∈ ∈<∈
≤
β
β
,
,
0
(21.40)
=
∈>∈
0,
.
m
(21.41)
Thus, I have determined
d
dx
r D
m c
E
E E
F
E E
m
m
m
τ
π
σ
β
β
abs
=
×
<
( )
>
+
0
2
2 4 1
0,
,
,
,
(21.42)
where
σ m
m
m
E
E
E
m c
=
=
∈
2 4
,
(21.43)
F
s
s ds
m
m
β
σ
β
σ
ϕ
( )=
[ ]
∫
−
1
0
2
0
0 .
(21.44)
Again, by Eqs. (21.40) and (21.41), I have obtained the asymptotic forms:
β
σ
σ
σ
β
β
=
( )→ +
−
+…
0
4
2
:
l n
l n
,
F
A
m
m
m
β
σ
β σ
σ
β
σ
β
β
β
≠
( )→ +
−
−
(
) +…
>
−
−
0
2
4
2
10
1
1
:
l n
,
F
A
m
m
m
m
(21.45)
All β
σ
σ
β
σ
σ
β
:
,
F
m
m
m
m
( )→
−
(
) +
+
(
)
−
(
) +…
4
15
1
2 2
1
21
1
5
2
7
2
− −1 1
.
(21.46)
Here, the plots σ
β
m
− F β (σ m ) for β = 0–3.0A β in 0.5–A β intervals determine the
integral of the region of plane [16, 19]. The value is clarified as A β = 8.111 (β = 0),
13.53 (β = 0.5), 9.489 (β = 1.0), 15.675 (β = 1.5), 34.54 (β = 2.0), 85.29 (β = 2.5),
21 Climate Control