Advances in Inverse Transport Methods and Applications to Neutron Tomography

The purpose of our project is to infer material distribution inside an object based upon detection and analysis of radiation emerging from the object. Abstract We present advances in inverse transport methods and demonstrate their application to neutron tomography problems that have significant scattering. The main advances are dimension-reduction schemes that we have designed to take advantage of known and postulated constraints. One key constraint is that the cross sections for a given region in the object must be the cross sections for a real material. We illustrate our approach using a neutron tomography model problem on which we impose reasonable constraints, similar to those that in practice would come from prior information or engineering judgment. The results shows that our method is capable of inferring correct material distribution in investigating object. Advances in Inverse Transport Methods and Applications to Neutron Tomography