A 'spread-out Bragg peak' (SOBP) is created by somewhat varying the energy of the incident proton beam, using various energies with appropriate weighting to produce a flat, level SOBP. (Such a uniform dose covering the tumor is required.) There exists one analytic method of determining the weights appropriate to creating an SOBP, that of Bortfeld and Schlegel, but it gives a tilted SOBP. The present method, derived using MCNPX Monte Carlo calculations, provides a correction to the Bortfeld–Schlegel weights which gives a flat, level SOBP. The corrected weight calculation can be useful in theoretical work and as a starting point in determining the weights for a proton beam used in cancer treatment.
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