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Depth scaling, from exponential attenuation law,

for a monoenergetic photon beam and when Compton interactions dominates

:

( )

s

ρ

µ

µ

∝ =

=

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

Derivation of depth scaling factor

(

)

ww

z

o

w

e

ρµ

Φ=Φ

(

)

s s

z

o

s

e

ρµ

Φ=Φ

in water

in solid phantom

we s

s

w s

w

s

s

w

µ

z

z

z z

(

)

cm in z

(

)

(

)

( )

s

we s

s

w

s

w

s

s

w

z

z

z z

ρ

ρ

µ

ρµ

ρµ

∝



=

=

(

)

2

cmg in z

depth scaling

factor