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Derivation of formalism to convert ionisation in plastic to dose to water

Converting dose in plastic to dose in water

Phantoms irradiated with

the same MV photon

beam

In water at a reference depth

In solid plastic at an equivalent depth

eq

z

s

Ψ

ref

z

w

Ψ

( )

( )

w

w

en

ref

w

ref

Qw,

β 

ρ

µ

Ψ=

z

z D

( )

( )

s

s

en

eq s

eq

Qs,

β

ρ

µ

Ψ=

z

z D

(

)

(

)

( )

( )

w

s

w

s

ref

sp,

eq sp,

2

ref

ref

eq

ref

ref

eq Qs,

ref

ref

Qw,

,

,

β



ρ

µ





+

+

=

en

r S

r S

z

SSD

z

SSD

r z D r z D