Dose 2016

Derivation of formalism to convert ionisation in plastic to dose to water Derivation of depth scaling factor

Depth scaling, from exponential attenuation law, for a monoenergetic photon beam and when Compton interactions dominates :

(

)

ρµ

z

e − Φ=Φ

s s

(

)

in solid phantom

ρµ

z

e − Φ=Φ

ww

s

o

in water

w

o

µ

( ) s ρ

(

) cm in z

s

s

=

µ

∝ = z

z z

z

w

s

w s

we s

depth scaling factor

µ

w

s

(

)

  

 

(

) 2 cmg in z

ρµ

µ

=

=

z ∝

( ) s ρ

s

z z

z

(

)

w

s

s

we s

ρµ

ρ

w

w

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