含时角平均逆输运
Time-dependent angularly averaged inverse transport
摘要：
本文涉及的吸收和散射参数的重建与时间有关的线性输运方程的知识进行角平均测量在边界的一个域的利益。我们表明，吸收系数和散射系数的空间分量是唯一确定的这样的测量。我们得到的吸收和散射参数的重建相对于测量的Escherido运营商的稳定性结果。通过将测量值精确分解为在时域中具有不同奇异行为的分量来获得稳定性结果。
英文摘要：
This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show that the absorption coefficient and the spatial component of the scattering coefficient are uniquely determined by such measurements. We obtain stability results on the reconstruction of the absorption and scattering parameters with respect to the measured albedo operator. The stability results are obtained by a precise decomposition of the measurements into components with different singular behavior in the time domain.
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