Dose Course 2018_Flipping book

pencil kernel parameterization:

Math curiosity, goes to infinity when r->0. ( ) e e , z z a r b r z z A B p r z r r  − − = +

Dose on the main axis for a circular field of fluence  :

Ahnesjö et al (1992) Med Phys 19, 263-273

R

2

p

p

( )

( )

( ) ,

D z

, d r z A

d r z r r

=

=

=

0 0  

circular

R

field

R  

2

a r

b r

  

  

A

B

e

e

z

z

z

z

d r r

=

+

=

0 0  

r

r

(

)

(

)

a R

b R

   

   

A

B

1 e −

1 e −

z

z

z

z

=

2  

+

a

b

z

z

what happens when field size R goes to zero?

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