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

Converting ionisation measurement in plastic to dose in water

Phantoms irradiated with

the same MV photon

beam

In water at a reference depth

ref

z

In solid plastic at an equivalent depth

eq

z

( )

( )

( )

s

s

air

eq

air

eq Qs,

eq Qs,

p z

S

N z M z D





=

ρ

(

)

(

)

( )

( )

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

( )

( )

wQ,

w

air

sQ,

s

air

QQ,

Qow, D,

eq Qs,

eq Qs,

0

p

S

p

S

k

N z M z D









=

ρ

ρ