Advanced Physics for Brachytherapy 2018
The method
)( ) ,(
➢ if we define a spectral weighting factor: f(E) so that:
r
E
= Ef r , ) (
= dEEf
1 ) (
E
P
gpq
,
ˆ
rg
rg gt
, )ˆ,(
1 4 = + = + , )ˆ,( p g scat q
(
−
)
)1(
pr r
l
G
=
m
q
rg scat
)( rg gls −
r gml
)( Y
)ˆ,( , =
) ,(
)2(
' ,,
' , ,
l
Our equations become:
l
1' l m g =
0
−=
' gE rg gls − = )( gE
gE −
1 1'
' )' ( ) dEdE EfE Erls
,(,
→
)3(
' ,, −
gE
gE −
gE −
1
1
r gml
dEEf r
r
l YEf
)4( dE d m
)(
=
) ( )( =
)ˆ,(
) (
' )ˆ(
ml
, ,
,
E
4
g
gE
gE −
1
rgt
) ( dEEfErt
)( , =
) ,(
)5(
gE
➢ All that is left then is to discretize direction and space and solve iteratively!
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