Ground-Based Remote Sensing of Cloud Properties ...
363
3.0
Si(Dm)
1
2.5 ~
~
~§ 4
2.0 S
:!.
s
.
!
3
1. 5 ~
0
...
Q
1.0 )(
.N
Q
til 1
0.5 -i
0
0.0
0.00
0.10
0.20
0.30
0.40
0.50
D (rom)
(a)
1.2
• Si(vm)
1.0
I,
U!
1
S
1
1 , t
~
0.8
1,\\ Sz (vm) ,Wcr=O .4
. s
!
,I \
0.6
,I
\
I
\ t
E 0.4
I' , SZ (vm) ,Wcr=O. 8
" N
til
E
0.2
.N
til 0.0
-2
-1
0
1
2
4
v (m/s)
(b)
6
5
"§ 4
s
.
!
3
S~ (Dm) ,Wcr=O. 8
Q
2
"tIl N
1
0.00
0.10
0.20
0.30
0.40
0.50
D (rom)
(c)
Figure 13.23: (a) Cloud drop number density nmg(D) (dashed line) and reflectivity density
S;(D) (solid line) for gamma distribution parameters Nt = 6.5 x 10 6 m- 3 , Dn = 0.233 mm
and v = 1. (b) Reflectivity density versus drop fall velocity for no turbulence (upper dashed
line), turbulence with v" = w" = 0.4 (lower dashed line) and turbulence with v" = w" = O.B
(solid line). Positive velocities are downward. (c) Reflectivity density S!(D) that results from
changing variables in S; ( v) from drop fall velocity v to drop diameter D.
If one simply changes variables in S!(v) from v to D, Le.,
S;(D) = S!(v(D)) :~(D),
(13.108)
363
3.0
Si(Dm)
1
2.5 ~
~
~§ 4
2.0 S
:!.
s
.
!
3
1. 5 ~
0
...
Q
1.0 )(
.N
Q
til 1
0.5 -i
0.0
0.00
0.10
0.20
0.30
0.40
0.50
D (rom)
(a)
1.2
• Si(vm)
1.0
I,
U!
1
S
1
1 , t
~
0.8
1,\\ Sz (vm) ,Wcr=O .4
. s
!
,I \
0.6
,I
\
I
\ t
E 0.4
I' , SZ (vm) ,Wcr=O. 8
" N
til
E
0.2
.N
til 0.0
-2
-1
0
1
2
4
v (m/s)
(b)
6
5
"§ 4
s
.
!
3
S~ (Dm) ,Wcr=O. 8
Q
2
"tIl N
1
0.00
0.10
0.20
0.30
0.40
0.50
D (rom)
(c)
Figure 13.23: (a) Cloud drop number density nmg(D) (dashed line) and reflectivity density
S;(D) (solid line) for gamma distribution parameters Nt = 6.5 x 10 6 m- 3 , Dn = 0.233 mm
and v = 1. (b) Reflectivity density versus drop fall velocity for no turbulence (upper dashed
line), turbulence with v" = w" = 0.4 (lower dashed line) and turbulence with v" = w" = O.B
(solid line). Positive velocities are downward. (c) Reflectivity density S!(D) that results from
changing variables in S; ( v) from drop fall velocity v to drop diameter D.
If one simply changes variables in S!(v) from v to D, Le.,
S;(D) = S!(v(D)) :~(D),
(13.108)
