IMAGING USING TRANSPORT MODELS FOR WAVE–WAVE CORRELATIONS
IMAGING USING TRANSPORT MODELS FOR WAVE–WAVE CORRELATIONS
复制标题
使用波-波相关性传输模型进行成像
DOI：
10.1142/s0218202511005258
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发表时间：
2011
影响因子：
3.5
通讯作者：
O. Pinaud
中科院分区：
文献类型：
--
作者：
G. Bal;O. Pinaud
我们考虑了埋藏在未知异质介质中的物体的成像。介质是用经典（如声波或电磁波）波探测的。当介质中的非均质性变得太强时，基于波传播的微观描述（例如波动方程或麦克斯韦方程）的反演方法变得强烈依赖于非均质介质的未知细节。在某些情况下，对于波场中的二次量，最好使用宏观模型。在这里，这种宏观模型采用辐射传递方程的形式，也称为输运方程。它们既可以模拟传播波场的能量密度，也可以更一般地模拟两个波场在可能不同的介质中传播的相关性。特别地，我们分别考虑了在不存在包体和存在包体时两个场在非均质介质中传播的相关性。我们提出的理论和数值结果表明，基于这种相关性的重建比基于能量密度测量的重建更准确。
We consider the imaging of objects buried in unknown heterogeneous media. The medium is probed by using classical (e.g. acoustic or electromagnetic) waves. When heterogeneities in the medium become too strong, inversion methodologies based on a microscopic description of wave propagation (e.g. a wave equation or Maxwell's equations) become strongly dependent on the unknown details of the heterogeneous medium. In some situations, it is preferable to use a macroscopic model for a quantity that is quadratic in the wave fields. Here, such macroscopic models take the form of radiative transfer equations also referred to as transport equations. They can model either the energy density of the propagating wave fields or more generally the correlation of two wave fields propagating in possibly different media. In particular, we consider the correlation of the two fields propagating in the heterogeneous medium when the inclusion is absent and present, respectively. We present theoretical and numerical results showing that reconstructions based on this correlation are more accurate than reconstructions based on measurements of the energy density.