Optical Inverse Problems with Local Data

Abstract: Optical tomography is the process of reconstructing internal properties of an object by making optical measurements at the boundary. By considering both diffusion and transport models for light propagation, this process gives rise to a number of interesting inverse problems. Although many of these problems are solved in the case of full boundary data, most are still at least partially open in the case of local data, where measurements are restricted to a fixed subset of the boundary. In this talk I will describe four of these problems, and discuss some of what is known in each case.

Mathematics

Audience: researchers in the topic

International Zoom Inverse Problems Seminar, UC Irvine