Scattering geometry in the plane.
Geometry of the GEANT4 simulation. The incident beam has no width in the plane and a uniform fan distribution in the plane.
Examples of off-axis oblique Monte Carlo proton tracks (bold) and MLP output (solid line) with associated 2 (dash-dash-dash) and (dash-dot-dash) error envelopes. The top two Monte Carlo tracks underwent MCS only and lie completely within the error envelopes. The bottom example shows a proton that underwent an elastic nuclear collision and falls outside both error envelopes.
Root-mean-square (rms) error in lateral displacement in the plane between the path approximation formula and associated Monte Carlo track as a function of depth in water for 3000 GEANT4 proton histories. Error bars were not included for the rms multiple scattering and cuts plots, as the errors were negligible.
Results of the polynomial fit to the average value of . The units are divided by appropriate powers of cm.
Summary of the effect of applying various cuts on the MLP performance. Note that if at any stage through the water cube a track was found to have a greater error than the width of a envelope, it was identified as falling outside the error envelope.
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