Multiwave tomography in a closed domain: averaged sharp time reversal
Multiwave tomography in a closed domain: averaged sharp time reversal
复制标题
DOI：
10.1088/0266-5611/31/6/065007
复制
发表时间：
2014-12
期刊：
影响因子：
2.1
通讯作者：
Plamen Stefanov;Yang Yang-Yang
中科院分区：
文献类型：
--
作者：
Plamen Stefanov;Yang Yang-Yang
本文研究了在固定时间间隔[ 0，T ]内变速的多波热声层析成像的数学模型。.我们假设波从区域的边界反射。我们提出了一种平均锐时间反转算法。在整个边界上的测量的情况下，我们给出了一个显式的解决方案的Neumann级数展开。当测量的边界的一部分，我们表明，相同的算法产生一个参数。我们提出了在全边界和部分边界数据的情况下的数值重建。
We study the mathematical model of multiwave tomography including thermo and photoacoustic tomography with a variable speed for a fixed time interval [ 0 , T ] ?> . We assume that the waves reflect from the boundary of the domain. We propose an averaged sharp time reversal algorithm. In case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series expansion. When the measurements are taken on a part of the boundary, we show that the same algorithm produces a parametrix. We present numerical reconstructions in both the full boundary and the partial boundary data case.