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1. I need to be efficient

Equation for the transport of scerma

generated at each point along a

transport line

S { Δr [1 exp(

Δr )}

1sc,1 1

1

D D

D

0

1sc1 1sc0 1 1sc1 1

Δr1

b

b

B

b

b



− − −

=

+

= +

→ →

D D

D

1sc2 1sc1 2 1sc2 2

S ρ

S

[1 exp(

)][1 exp(

2)]

{ Δr [1 exp(

Δr )}

1sc,1 1

1sc,2

1

2

2

ρ

Δr

2

2

2

B

b r

b r

b

b

B

b

b r

b

b

=

+

=

→ →





− −  − − 

− − −

+

1

S ρ [1 exp(

)][1 exp(

)]

1sc,i-1 i-1

1

D D

D

1sc

1sc 1

1sc

ρ

Δr

i

i

1

S {

[1 exp(

)]}

1sc,i

i

B

b r

b r

i

i

i

i

i

i

i

b

b

i

b r

b r

i

i

B

b

b ri

− 

− − 

− − 

=

+

=

+

− → →



 − − − 

+

...

331sc

D3

21scD311sc

D31scD

=→ +→ +→ =