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Fermi-Eyges for electrons

Referring to a Cartesian coordinate system (x,y,z ) and an electron, incident

perpendicularly on a medium at (0,0,0) in the z direction, the Fermi–Eyges

expression for the probability of finding the electron at depth

z

with

displacement between

x

and

x+

d

x

,

y

and

y+

d

y

is

Where

T(u)

is the linear scattering power of the medium at depth

u

MCS is multiple coulomb scattering

Warsaw 2017

7

From Handbook of Radiotherapy Physics

Ed Mayles, Nahum and Rosenwald