Biomedical Engineering Reference
In-Depth Information
1.2
I(r,0)
1
I(0,z)
0.8
radial profile
0.6
0.4
0.2
axial profile
0
0.00
1.00
2.00
3.00
4.00
5.00
Distance [r or z] (mm)
100
Q(r,0)
Q(0,z)
10
1
0.1
0.01
0.001
0
0.00
1.00
2.00
3.00
4.00
5.00
Distance [r or z] (mm)
Methods for Scattering and Absorbing Media
The fundamental quantity in the transport theory approach is the total specific intensity,
r
L
, which is a function of position
for light in the direction given by a unit vector
s
and its
cm 2
s 1 . The equation of transfer satisfied by
units are
W
.
.
L
can be written as
m s ð
dL ð ~
r,
s
^
Þ
s 0 Þ L ð~
s 0 Þ d
o 0 þ
¼ð
m a þ
m s Þ L ð~
r,
s
Þþ
4p p ð ^
s,
r,
S
ð~
r,
s
Þ
ð
17
:
34
Þ
^
^
^
^
ds
Equation (17.34) shows the decrease in
L
due to scattering m s
and absorption m a
and the in-
s 0 (Figure 17.7). The sum
crease in
L
due to scattering from
L
coming from another direction
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