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More about transport along a line…

l

i

L

Factorization of attenuation:

3

1

2

e e

e e e ...

e

i

i

i

i

i

a

a

a

a

a

aL

i

L

− −

=

=

=

=

l

l

l

l

l

l

Transport of radiant energy along line:

e

a

R R

− ⋅

=

l

21

Net energy release from a step

l

i

(“collapsed” solid angle

Ω,

kernel=

A

e

-

a

l

:

(

)

(

)

2

attenuation

0

from point

energy release

of release

per length

to exit at

e

d

1 e

i

i

i

i

a

a

i

i

i

i

i

A

A

R T

T

a

a

ρ ∆Ω

ρ ∆Ω

− ⋅

− ⋅

= ⋅ ⋅

= ⋅ ⋅

l

l l

l

l

l

l

14243

142443

1

i

i

i

Local dose absorption:

1

2

i

i

i

R R

D a

+

i

R

+