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(

)

;

CAX

1

out,

in,

( , ; )

1

, ,HVL 2

( )

( )

I

i A

i

r

i

r

i

D d A

p

r d

rdr

M A M A

Ψ

π

ρ

=

∑ ∫

x

x

Lateral variation of beam quality

Double exponential, incl. depth parameterization and lateral beam quality

variations (“off-axis softening”) for flattened beams

Laterally constant kernel:

T Nyholm, et al (2006)

Phys. Med. Biol. 51 4111-4118

(

)

, ;

,

1 1

out,

in,

( , ; )

1

, , HVL 2

( )

( )

I J

i j A

i j

i

j

r

i

r

i

D d A

p

r d

rdr

M A M A

J

Ψ

π

ρ

= =

∑∑ ∫

x

x

Including lateral beam quality shift:

Olofsson et al (2006)

Med Phys 33

, 3418-25