The Bragg Peak (Continued)
In last week
Section 16.10
Problem 31 ½. Assume the stopping power of a particle, S = −dT/dx, as a function of kinetic energy, T, is S = So e−T/To.
(a) What are the units of So and To?
(b) If the initial kinetic energy at x = 0 is Ti, calculate T(x).
(c) Determine the range R of the particle as a function of To, So, and Ti.
(d) Plot S(x) vs. x. Does this plot contain a Bragg peak?
(e) Discuss the implications of the shape of S(x) for radiation treatment using this particle.
The answer to part (d) is difficult, because your conclusion is different depending on the relative magnitude of Ti and To. You might consider adding a part (f)
(f) Plot T(x), S(x), and R(Ti) for Ti >> To and for TiTo.
Protons are also used to treat tumors… Their advantage is the increase of stopping power at low energies. It is possible to make them come to rest in the tissue to be destroyed, with an enhanced dose relative to intervening tissue and almost no dose distally.
Source: http://hobbieroth.blogspot.com/2021/07/the-bragg-peak-continued.html
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