Using convergent half width half Maximum(c-HWHM) tilting method to determine the virtual source position of scanning-pass scattering beam in carbon ion therapy

Introduction: We developed a half-width half-maximum tilting angle convergent method to replace the conventional measurement of the virtual source position for scanning-pass scattering beam in carbon ion therapy.Materials and methods: A homemade large-format CMOS sensor and Gaf Chromic EBT3 films were used for the virtual source position measurement. The Gaf films were embedded in a self-designed rectangular plastic frame to tighten the films and set up on a treatment couch for irradiation in the air with the film perpendicular to the carbon ion beam at the nominal source-axis-distance (SAD) as well as upstream and downstream from the SAD. The radiation rectangular field size in horizontal and vertical directions on film or detector delivered by 5 carbon ion energies were analyzed separately in this study. The virtual source position was determined with film or detector at a distance upstream or downstream from the various source-film-distance by the half width half maximum tilting angle convergent method to compare the results conducted with the same measurement condition by the back projecting the FWHM to zero methods.Results: The determination of virtual source position by using half width half maximum tilting angle convergent method agrees with the method by back projecting the FWHM to zero, and for higher carbon ion energy has an obvious longer virtual source position since the more carbon ion beam energy, hence, the less side scatter results in the less divergent at the downstream, then the virtual source positions is distal for high energies than low energies when back projects the field sizes to zero.Conclusion: We have developed a technique capable of dealing with the virtual source position with a geometric convergent method to avoid any mistakes in the passive scatter carbon ion beam. The method for investigating the virtual source position in the carbon ion beam in this study can also be used for electrons and proton beams.