论文标题
在衰减模型不确定性下，Visco-Austric媒体中的定量逆问题
Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty
论文作者
论文摘要
我们考虑了基于培养基刺激后的响应波的测量值，我们考虑了Visco声学材料的定量重建（例如，大量模量，密度）的逆问题。数值重建是通过迭代最小化算法进行的。首先，我们研究了算法在衰减模型不确定性方面的鲁棒性，也就是说，当使用不同的衰减模型分别用于模拟合成观察数据和反转时。其次，要处理由域周围墙边界产生的多种反射的数据集，我们使用复杂的频率进行反转，并证明它提供了一个强大的框架，可以减轻多种反射的困难。为了说明算法的效率，我们对超声成像实验进行数值模拟，以重建包含高对比度特性的合成乳房样品。我们在两个和三个维度上执行实验，后者也可以在大规模配置中证明数值可行性。
We consider the inverse problem of quantitative reconstruction of properties (e.g., bulk modulus, density) of visco-acoustic materials based on measurements of responding waves after stimulation of the medium. Numerical reconstruction is performed by an iterative minimization algorithm. Firstly, we investigate the robustness of the algorithm with respect to attenuation model uncertainty, that is, when different attenuation models are used to simulate synthetic observation data and for the inversion, respectively. Secondly, to handle data-sets with multiple reflections generated by wall boundaries around the domain, we perform inversion using complex frequencies, and show that it offers a robust framework that alleviates the difficulties of multiple reflections. To illustrate the efficiency of the algorithm, we perform numerical simulations of ultrasound imaging experiments to reconstruct a synthetic breast sample that contains an inclusion of high-contrast properties. We perform experiments in two and three dimensions, where the latter also serves to demonstrate the numerical feasibility in a large-scale configuration.
