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1. I need to be efficient
1
2
θ
Δr
2
Equations for the transport of scerma
generated at each point along a
transport line
Under the collapsed cone approximation:
•
Scerma does not vary with θ within ΔΩ
(Bθ, bθ constant along transport line)
and scerma generated, emitted and
absorbed along transport line
and assuming:
•
Scerma generated per unit r is constant
within the same voxel (scerma does not
vary considerably within voxels)
Dose
from voxel 2
points at r’ along Δr2,
to a
voxel 2
point at r :
ρ2
D
S
exp[
(
')]
'
1sc2 2
1sc,2
ρ2
'
S
exp[
(
')]dr'
1sc,2
0
[1 exp(
)]
S1sc,2
B
b r r d dr
r
r
B
b r r
b r
B
b
=
− − =
→
− − =
− −
Δr
2
0≤r’≤r
0<r≤Δr
2
r’
r