Development of the small angle approximation of the radiative transfer theory taking into account the photon path distribution function

Development of the small angle approximation of the radiative transfer theory taking into account the photon path distribution function
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考虑光子路径分布函数的辐射传输理论的小角度近似的发展

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
Y. Ilyushin
Y. Ilyushin
中科院分区:
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文献类型:
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作者:
V. Budak;Y. Ilyushin

文献摘要

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给出了考虑瞄准方向前半球光子路径分布函数的平板辐射传递方程(RTE)解的小角近似的发展。该解基于瞄准角余弦的二阶泰勒级数展开,而不需要将RTE转换为扩散近似。所得到的解实际上与前半球直至深区方向的精确解一致。
The development of the small angle approximation of the radiative transfer equation (RTE) solution for the slab taking into account the photon path distribution function in the forward hemisphere of sighting directions is offered. The solution is based on the Taylor series expansion of the sighting angle cosine up to the 2nd order without the RTE conversion to the diffusion approximation. The obtained solution practically coincides with the exact solution in the forward hemisphere of directions up to the deep regime.