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γ
γγ
γ
γ
γ
σ
q q
t
+ =Φ+Φ∇⋅Ω
!
ˆ
(
)
e
e
ee
e
R
e e
t
e
q q q
S
E
+ + =Φ
∂
∂
−Φ+Φ∇⋅Ω
γ
σ
!
ˆ
Photons:
Electrons:
(
)
ξ
η
µ
, , ˆ
Ω
unit direction vector
(
)
Ω Φ
ˆ, ,
,
Er
e
!
γ
photon/electron angular fluence
(
)
zyxr
, ,
!
position vector
energy
E
particle sources
q
Linear Boltzmann transport equations
total cross-section
t
σ
( )
ErS
R
,
!
stopping power
Grid-based LBTE solver