Inversion of radiation field on nuclear facilities: A method based on net function interpolation

Abstract

In this paper, a novel method based on net function interpolation is proposed to reconstruct nuclear radiation field on the basis of the sparse observed data. In the grid space, the missing data of grid line is filled by means of constructing function. Then, the value of grid interior points is obtained by use of the net function interpolation method. To demonstrate the feasibility of the proposed method, the simulation experiment concerning a single point source is carried out. Compared with the simulation results of Monte Carlo method, the calculation results perform well. To make the simulation environment real, another experiment with multiple volumetric sources is done. The inversion results are also satisfactory. What's more, as the sampling data increases, the degree of reduction is further improved. It is worthwhile mentioning that the results have relative errors of 1.91%, 5.47% and 1.22% respectively. In this paper, the radiation field is restored very well according to the sparse sampling data. Hence, the proposed method is a quite effective way for the inversion of nuclear radiation field.