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

中文翻译：

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CGO 解在耦合物理反问题中的应用

本文调查了用于医学和地球物理目的的几种耦合物理成像模式中出现的逆问题。这些包括光声断层扫描 (PAT)、热声断层扫描 (TAT)、电震转换、瞬态弹性成像 (TE) 和声电断层扫描 (AET)。这些逆问题通常由多个逆步骤组成，每个步骤对应于所涉及的波传播之一。审查重点关注那些被称为内部数据逆问题的步骤，在这些步骤中，基础方程的复杂几何光学 (CGO) 解在显示确定所需信息的唯一性和稳定性方面非常有用。