Numerical Results for the Estimation of Source Distributions from External RadiationField Measurements
Abstract
The authors consider a transport process in a slab bounded by two parallel planes. Radiation is both absorbed and scattered isotropically. The radiation is due to continuously distributed internal isotropic sources. The aim is to estimate the distribution of the internal sources based on experimental measurements of the angular dependence of the emergent radiation. First, a system of differentialintegral equations for the emergent radiation is deduced. These are approximated by a system of ordinary differential equations, and some numerical results are given. Quasilinearization is then used to solve the inverse problem numerically. The results of some computational experiments are given which indicate the sensitivity of the estimates of the source distribution to the observational errors in the emergentradiation measurements. The methods can be generalized to the cases of anisotropic scattering and shell geometry.
 Publication:

Journal of Computational Physics
 Pub Date:
 June 1967
 DOI:
 10.1016/00219991(67)900526
 Bibcode:
 1967JCoPh...1..457B