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TG43 FORMALISM

The

Radial Dose Function, g(r)

, describes the dose fall-off along the

transverse axis of the source accounting for the effects of absorption and

scatter in water. It is defined as:

It can also be influenced by filtration of photons by the encapsulation and

source materials. Its relation with the classical formalism is the tissue

attenuation and scatter function normalized at 1 cm distance:

) (

)(

)(

0

r

r

rg

=

) ,( ) , (

) , ( ) ,(

)(

0

0 0

.

0 0

0

.

rG rD

rG rD

rg

=

) ,( )(

) , (

) ,(

) ,(

0 0

r

Frg

rG

rG

t

S rD

k

 =

( )

2

2

if

0,

sin

,

1

if

0,

4

L

L r

G r

L

r

  

= 

=

− 