Angular Average of Time-Harmonic Transport Solutions
Angular Average of Time-Harmonic Transport Solutions
复制标题
时谐输运解的角平均值
DOI：
10.1080/03605302.2010.540608
复制
发表时间：
2011
影响因子：
1.9
通讯作者：
F. Monard
中科院分区：
文献类型：
--
作者：
G. Bal;A. Jollivet;I. Langmore;F. Monard
我们考虑了时间调和输运方程解的角平均化。这些量对例如在光学层析成像中获得的测量进行建模，光学层析成像是一种具有调频源的医学成像技术。调频光源可用于将弹道光子与与底层介质发生散射的光子分离。本文给出了当调制频率ω趋于∞时角度平均输运解的精确渐近描述。假设散射在测量附近为零，我们证明了弹道贡献比单次散射的贡献要大。类似地，我们发现单散射光子对测量的贡献也比多散射光子大得多。这种分解是根据可用测量重建光学系数的必要步骤。
We consider the angular averaging of solutions to time-harmonic transport equations. Such quantities model measurements obtained for instance in optical tomography, a medical imaging technique, with frequency-modulated sources. Frequency modulated sources are useful to separate ballistic photons from photons that undergo scattering with the underlying medium. This paper presents a precise asymptotic description of the angularly averaged transport solutions as the modulation frequency ω tends to ∞. Provided that scattering vanishes in the vicinity of measurements, we show that the ballistic contribution is asymptotically larger than the contribution corresponding to single scattering. Similarly, we show that singly scattered photons also have a much larger contribution to the measurements than multiply scattered photons. This decomposition is a necessary step toward the reconstruction of the optical coefficients from available measurements.
影响因子：
3.6
作者：
Ren, K;Abdoulaev, GS;Hielscher, AH
通讯作者：
Hielscher, AH