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Modelling geometric penumbra

( )

r

eA

e

zr

p

ra

z

r

z

p

z

z

eff

σ

πσ

=

ρ

2

2

2

1

,

( )

r

eB

r

eA

zr

p

rb

z

ra

z

z

z

+

=

ρ

,

coll

z

A Ahnesjö et al (1992)

Med Phys

19, 263-273

Gaussian source

distribution

coll

coll

z

z

z z

⋅σ=σ

As

z

coll

varies for

different collimators the

additional part of the

kernel, describing the

geometric penumbra, should

vary between different

calculation points

Problems for fast

convolutions.