On modeling experiments with penetrating radiation

An approach is presented to construct operators transforming the characteristics of the initial radiation to the transmitted one as well as operators transforming the transmitted radiation to the measured values. The proposed method permits to construct, for instance, the operator connecting the initial radiation spectrum with the absorbed photon energy penetrating a given object. The elaborated approach provides the possibility of effective mathematical modeling of radiation techniques such as radiography treating complex multi-component objects. Moreover, the method can be used to construct operator equation for solving inverse problems, e.g. the reconstruction of the initial radiation spectrum using simple experimental measurements.