The inverse wave problem of tomographic type is considered. It consists in reconstruction of several scatterer’s characteristics in the form of spatial distributions for sound speed, medium density, absorption coefficient and power index of its frequency dependence, as well as vector of flow velocity. In the form of a survey material (based on several publications), a sequence of steps is discussed that leads to reconstruction of each individual spatial distribution in the presence of different combinations of the mentioned characteristics. The minimum number of frequencies required for reconstruction is discussed when the complete set of scattering data is available at each of the frequencies. For the first time, two possible approaches to reconstruct the scatterer characteristics in the presence of inhomogeneous spatial distributions of the density and the flow velocity vector are compared, and attention is drawn to the perspectives of reconstruction by functional algorithms in this case. The possibility of separating the sought spatial distributions during the inverse problem solution is illustrated by numerical modeling.

中文翻译：

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在断层扫描多色区域分离声散射体的标量和矢量特征的可能性

考虑了层析类型的逆波问题。它包括以声速、介质密度、吸收系数和其频率相关的功率指数以及流速矢量的空间分布的形式重建几个散射体的特性。以调查材料的形式（基于若干出版物），讨论了一系列步骤，这些步骤导致在上述特征的不同组合存在的情况下重建每个单独的空间分布。当在每个频率上都有完整的散射数据集时，讨论了重建所需的最小频率数。首次，比较了在密度和流速矢量的空间分布不均匀的情况下重建散射体特征的两种可能方法，并在这种情况下关注函数算法重建的观点。数值建模说明了在逆问题求解过程中分离所寻求的空间分布的可能性。