Techniques of Proton Radiotherapy: Transport Theory

TL;DR

This paper provides an in-depth overview of transport theory as applied to proton radiotherapy, covering phase space analysis, Gaussian approximations, and beam spreading in matter, with theoretical and experimental insights.

Contribution

It offers a comprehensive synthesis of transport theory techniques and their application to proton radiotherapy, including new analytical methods and experimental validation.

Findings

Gaussian approximation effectively models multiple Coulomb scattering

Transport equations accurately predict beam spreading in matter

Experimental tests support theoretical models of beam transport

Abstract

These are notes for the lecture on Transport Theory in a one-week intensive course, "Techniques of Proton Radiotherapy". Topics are: Phase space diagrams: model beam line-effect of a scatterer-effect of a drift-the beam ellipse-phase space diagrams for the model beam line-emittance change in a drift-emittance change in a scatterer-phase space for a more realistic beam line-summary Miscellaneous topics: review of Gaussians-the Gaussian approximation to multiple Coulomb scattering (MCS)-relativistic single particle kinematics-completing the square-scattering power Fermi-Eyges theory: history-the basic theory-the beam ellipse-drawing the ellipse given the moments-ellipse examples-transporting the beam ellipse through a slab-emittance change in a drift-emittance change in a scatterer-differential form of the transport equations-equivalent sources-beam contained in the beam ellipse-summary Beam spreading in matter: theory of Preston and Koehler-generalization to heavy ions-experimental tests (Preston and Koehler, Phillips, Wong et al.)-summary Analytical geometry of the ellipse (appendix): tilted ellipse-transformation to principal frame-summary and explicit procedures-area enclosed by the ellipse