Reconstruction of the X-ray tube spectrum from a scattering measurement

作者：Fernandez Jorge E^*; Scot Viviana; Bare Jonathan; Tondeur Francois; Gallardo Sergio; Rodenas Jose; Rossi Pier Luca

来源：Applied Radiation and Isotopes, 2012, 70(7): 1238-1242.

DOI：10.1016/j.apradiso.2011.11.035

• X-ray spectrum
• Boltzmann equation
• Rayleigh scattering
• Compton scattering
• Adjoint transport

An inverse technique has been designed to unfold the x-ray tube spectrum from the measurement of the photons scattered by a target interposed in the path of the beam. %26lt;br%26gt;A special strategy is necessary to circumvent the ill-conditioning of the forward transport algebraic problem. The proposed method is based on the calculation of both, the forward and adjoint analytical solutions of the Boltzmann transport equation. %26lt;br%26gt;After testing the method with numerical simulations, a simple prototype built at the Operational Unit of Health Physics of the University of Bologna was used to test the method experimentally. The reconstructed spectrum was validated by comparison with a straightforward measurement of the X-ray beam. The influence of the detector was corrected in both cases using standard unfolding techniques. %26lt;br%26gt;The method is capable to accurately characterize the intensity distribution of an X-ray tube spectrum, even at low energies where other methods fail.