A nearly monoenergetic
proton beam deposits
a moderate entrance dose, then
a sharp
Bragg peak near the end of its range.
As nonrelativistic
protons slow, their electronic
stopping power rises approximately
as 1/v2 over the relevant part of the track. Once the
protons stop, the dose falls steeply.
Range straggling and
energy spread broaden the peak; nuclear interactions add
a smaller nonideal tail, so an exact hard cutoff is an idealization. Superposing appropriate incident
energies produces
a spread-out Bragg peak covering an extended target.
[ref]