On a source reconstruction in an absorbing and scattering domain in the plane from measurements of fluxes at the boundary

Abstract: This talk concerns the source reconstruction problem in a transport problem through an absorbing and scattering medium from measurements of boundary fluxes at the boundary. I will focus on the full boundary data in the scattering case, and the partial data (measurements on an arc) in the non-scattering case, and explain how a combination of these two cases solves the reconstruction problem in the partial data case. The method, specific to two dimensional domains, relies on Bukgheim’s theory of A-analytic maps and it is joint work with H. Fujiwara (Kyoto U) and K. Sadiq (RICAM).

Mathematics

Audience: researchers in the topic

International Zoom Inverse Problems Seminar, UC Irvine