Some problems arising in coupled-physics tomographies for conductivity imaging
Coupled-physics imaging techniques utilize the relationships between different physical fields to join the high sensitivity of one with the high resolution of the other. Magnetoacoustic tomography (MAT) and magnetoacoustoelectric tomography (MAET) are recently developed modalities which combine the sensitivity of electromagnetic waves to tissue conductivity with the high resolution of ultrasound imaging. I will discuss some geometric and analytic problems that emerge in the study of these modalities. Pictures will be emphasized.