Applications of CGO Solutions on Coupled-Physics Inverse Problems

摘要

This paper surveys inverse problems arising in several coupled-physicsimaging modalities for both medical and geophysical purposes. These includePhoto-acoustic Tomography (PAT), Thermo-acoustic Tomography (TAT),Electro-Seismic Conversion, Transient Elastrography (TE) and Acousto-ElectricTomography (AET). These inverse problems typically consists of multiple inversesteps, each of which corresponds to one of the wave propagations involved. Thereview focus on those steps known as the inverse problems with internal data,in which the complex geometrical optics (CGO) solutions to the underlyingequations turn out to be useful in showing the uniqueness and stability indetermining the desired information.