| Speaker: | Richard Sanchez, CEA and Georgia Tech. University |
| Title: | Inverse Source Problems for the Linear Transport Equation |
| Time: | 4:00-5:00 pm |
| Place: | Blocker 627 |
| Note: | This is a joint NA/Applied Math seminar. Note the unusual time and place. |
The inverse source problem in linear transport theory is known to have a non unique solution. In this talk I will apply the attenuated Radon transform (atRT) to trivially extend the reconstruction to 3D energy-dependent problems with isotropic scattering and then analyze the possibility of a regularization for the inverse problem; the latter is only possible if the unknown source is known to be isotropic. I'll then introduce reconstruction techniques based on a generalized Green's function formula.
Last revised: 03/25/08 By: abnersg@math