Advanced Physics for Brachytherapy 2018

The method

➢ Up to now, our set of equations is EXACT but we need to separate r from E to solve it iteratively

P 

 

gpq

,

ˆ

rg

rg gt

, )ˆ,( 

) = + =  +    ( 1 4 , )ˆ,( pr r p g scat q −

)1(

l

G 

  =

m

scat q

rg

)( rg gls  −

r gml

)( Y

)ˆ,( , =

) ,(

)2(

' ,,

' , ,

l

l

1 l m g = '

0

−=

gE −

gE −

1 1'

dE dE Er E Erl

,(,

→

' )' ,( )

s

' E rg gls  = − )( g

gE

)3(

' ,,

gE −

1

dEEr



) ,(

gE

gE −

gE −

1

1

r gml

dEEr

' )ˆ( )ˆ, ,( l Y Er 

dE d m

)(

 =

) ,( =

   

)4(



ml

, ,

,

4

gE

gE

gE −

1

dE Er Ert

' ) ' ,( ) ,(

gE

rgt

)( , =

)5(

gE −

1

dEEr



) ,(

gE

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