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Fermi-Eyges for electrons

Can be divided as

p(x,y,z)=p(x,z) p(x,y)

where both are given as

This is a Gaussian, or normal distribution, and s can be identified as the

standard deviation , which is a measure of the width of the distribution. As

the depth increases,

MCS

increases and the pencil spreads out.

Integration of a Gaussian is written with the erf function

Warsaw 2017

9

From Handbook of Radiotherapy Physics

Ed Mayles, Nahum and Rosenwald