Optimal X-ray filters for EDXRF analysis

This work presents a semi-analytical approach to answer the question of optimal beam filtering in the case of EDXRF measurements with an X-ray tube. A collection of programs, called \textit{xfilter}, is presented that is capable to find the optimal filter material, the optimal filter thickness, and the optimal scattering angle, for all possible combinations of trace elements, target materials, and tube voltages. The concepts of the calculations are introduced in a general manner and demonstrated with a specific example, the detection of gold K$_{\upalpha 1}$ XRF within human tissue. Comparing the calculation results and an EDXRF measurement shows excellent agreement.